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Model Question Paper 1

II P.U.C

MATHEMATICS (35)

Time : 3 hours 15 minute

Max. Marks : 100

Instructions :
(i)

The question paper has five parts namely A, B, C, D and E. Answer all the parts.

(ii)

Use the graph sheet for the question on Linear programming in PART E.

PART-A
Answer All the questions:

10 1 = 10

1.

Operation * is defined by a*b=a. Is * is a binary operation on

2.

Write the principal value branch of ( )

3.

Define a diagonal matrix.

4.

If

5.

Write the points of discontinuity for the function ( )

6.

Evaluate

7.

Find the direction ratios of the vector, joining the points


(
),
from P to Q.

8.

Find the equation of the plane with the intercept 2, 3 and 4 on x, y and z axes
respectively.

9.

Define optimal solution in the linear programming.

10.

If A and b are independent events with ( )

/ find |

|.
, -

cos ecx cos ecx cot x dx

and ( )

) and

find (

PART-B
Answer any Ten questions:

10 2 = 20

11.

Find the gof and fog if ( )

12.

Write the function

13.

Prove that 2

14.

Find the area of a triangle whose vertices are (


determinant.

15.

Find

16.

If

17.

Find the approximate change in the volume V of a cube of a side x meters


caused by
by 2 %.

if

and ( )

. /

in the simplest form.

. /
)(

) using

.
show that

18.

Evaluate

19.

Evaluate

20.

Find the order and degree of differential equation . /

21.

Find a vector in the direction of the vector


units.

22.

If
are

23.

Find the vector equation of the line, passing through the points (

24.

Two coins are tossed once, find (


appears.

and
.

.
that has magnitude 7

, then show that the vectors

and

) and

) where E: no tail appears, F: no head

PART-C
Answer any Ten questions:

10 3=30

25.

Show that the relation R in the set of real numbers R defined as


*(
+ is neither
)
nor symmetric nor transitive

26.

Prove that

27.

Find the values of x, y and z in the following matrices


(

/ | |

/
(

)(

)(

28.

Differentiate

29.

If

30.

If ( )

31.

Evaluate

32.

Evaluate

33.

Find the area between the curves

34.

Form the differential equation representing the family of curves


(
) where a and b arbitrary constants.

35.

Find the area of a triangle having the points


its vertices using vector method.

36.

Prove that [

37.

Find the distance between parallel lines

with respect to x.

/find
is (a) Strictly increasing

[ ]

n 2i 3j 6k

r 3i 3j 5k
38.

(b) Strictly decreasing.

and

) as

[ ].

) and

Two cards are drawn successively with replacement from a well shuffled
deck of 52 cards. Find the probability distribution of the number of aces.

PART-D
Answer any Six questions:

6 5 = 30

39.

Let
be a function defined by ( )
Show that
where S is the range of function f, is invertible. Find the inverse of f.

40.

Verify (

if

,
),

) and

41.

Solve the following system of equations by matrix method


and
.

42.

If

43.

The length of a rectangle is decreasing at the rate of 3 cm/minute and the


width y is increasing at the
of 2 cm/minute. When x = 10 cm and y = 6
cm, find the rate of change of (i) the perimeter and (ii) the area of the
rectangle

44.

Find the integral of

45.

Using integration find the area bounded by the triangle whose vertices are
( ) ( )
( )

46.

Solve the differential equation

47.

Derive equation of plane perpendicular to a given vector and passing through


a given point both in the vector and Cartesian form.

48.

There are 5 % defective items in a large bulk of items. What is the probability
that sample of
items will include not more than one defective item?

prove that

. /

and hence prove that

w.r.t x and hence evaluate

PART-E
Answer any One question:

49.

(a) Prove that


|
evaluate |
(b)

50

Prove that |

1
( )

( )

when

10 = 10
)

( ) and hence
6

(a) Solve the following linear programming problem graphically:


Maximize,

subjected to the constraints:


6

(b) Find the relationship between a and b so that the function f defined by

ax 1,
f x
bx 3,

if x 3
is continuous at x = 3.
if x 3

Model Question Paper 2


II P.U.C

MATHEMATICS (35)

Time : 3 hours 15 minute

Max. Marks : 100

Instructions :
(i)

The question paper has five parts namely A, B, C, D and E. Answer all the parts.

(ii)

Use the graph sheet for the question on Linear programming in PART E.
PART A
10 1=10

Answer ALL the questions


1.

Give an example of a relation which is symmetric only.

2.

Find the principal value of cos 1

3.

Construct a 2x2 matrix A aij .Whose element are given by aij=2i+j .

4.

If A=*

5.

If y=

6.

Find the antiderivative of

7.

Define the feasible region in LPP.

8.

Find the unit vector in the direction of the vector

9.

Find the direction ratio of the line

10.

If P(E)=0.6 and P(E F)=0.2 then find P(F/E).

+, find |

2 .

|.

, then show that

.
(

) with respect to x.

x 1
2z 3
3y
2
4 .

PART

10 2=20

Answer any TEN questions:

11. Define binary operation on a set. Verify whether the operation * defined on Z
by a*b=ab+1 is binary or not.
(

12.

Write

13.

Find the equation of line passing through the points (3,2) and (-1,-3) by using
determinants.

14.

Show that

15

If y=

(
*

in the simplest form.

then find

16.

Find

, if si

where k is constant.

17.

If the radius of a sphere is measured as 7cm with an error of 0.02m, then find
the approximate error in calculating its volume.

18.

Evaluate: (

19.

Evaluate:

20.

Find the projection of the vector

21.

Find the area of parallelogram whose adjacent sides are given by the vectors
and .

22.

Find the distance of a point (2,5,-7) from the plane r (6 i 3 j 2 k ) 4 .

23.

Find the order and the degree of the differential equation

24.

Given that the event A and B are such that P(A)= , P(A B)= and P(B)=k, find

.
on the vector

d3 y d2 y dy

0.
dx 3 dx 2 dx

k if A and B are independent.


PART C

10 3=30

Answer any TEN questions:


25.

Show that the relation R in the set of all integers Z defined by


R= {(a, b): 2 divides a-b} is an equivalence relation.

26.

Simplify:

27.

Express matrix A= *

+
+ as the sum of a symmetric and skew-symmetric

matrix.
28.

Prove that if the function is differentiable at a point c,then it is also


continuous at that point.

29.

Verify mean value theorem for the function f(x)=x2-4x-3 in the interval [1,4].

30. Find the equation of tangent to the curve given by x=asin3t ,y=bcos3t at a
point where t= .
31.

Evaluate:

32. Evaluate:
33.

.
(

Find the area bounded by parabola y2=4x and the line y=2x.

34. Three vectors

satisfy the condition

Evaluate the quantity

, if | |

| |

| |

35.

36.

If

and

then find (

Find the shortest distance between the lines


and

37.

) and
)

) .

Form the differential equation of the family of circle touching the x-axis at
origin.

38. An insurance company insured 2000 scooter drivers, 4000 car drivers and
6000 trucj drivers. The probability of an accident are 0.01, 0.03 and 0.15
respectively. One of the insured person meets with an accident. What is the
probability that he is a scooter driver?
PART D

6 5=30

Answer any SIX questions:

39. Let
defined by ( )
, show that f
range of the function is invertible. Also find the inverse of f.

, where S is the

40.

Verify (B+C)A =BA+ CA, if A= *

41.

Solve the equations x-y+3z=10, x-y-z=-2 and 2x+3y+4z=4 by matrix method.

42.

If

43.

A ladder
long is leaning against a wall. The bottom of the ladder is pulled
along the ground, away from the wall at the rate of
. How fast is its
height on the wall decreasing when the foot of the ladder is
away from
the wall?

44.

Find the integral of

45.

Using integration find the area bounded by the circle x 2 +y2= 16 and the
parabola
y2=6x.

46.

Derive the equation of the line in space passing through a point and parallel
to a vector both in the vector and Cartesian form.

47.

Solve the differential equation x log x

48.

A pair of dice is thrown 4 times. If getting a doublet is considered a success,


find the probability of two successes.

then prove that

with respect to

and hence evaluate

dy
2
y log x.
dx
x

PART E
Answer any ONE question:
49.

1 10=10

(a) One kind of cake requires 200g of flour and 25g of fat and another kind
of cake requires 100g of flour and 50g of fat. Find the maximum number of
cakes which can be made from 5kg of flour and 1kg of fat assuming that there
is no shortage of the other ingredient, used in making the cakes.

50.

Kx 1 if x 5
is continuous at
3x 5 if x 5

(b)

Find the value of K if f ( x)

(a)

Prove that

( )

( )

( )
( )

and hence evaluate

(b)

Prove that |

|=ab+bc+ca+abc

x = 5.

Model Question Paper 3


II P.U.C

MATHEMATICS (35)

Time : 3 hours 15 minute


Instructions :
(i)

(ii)

Max. Marks : 100

The question paper has five parts namely A, B, C, D and E. Answer all the parts.

Use the graph sheet for the question on Linear programming in PART E.

PART A
10 1=10

Answer ALL the questions


1.

Let * be the binary operation on N given by a*b=L.C.M of a and b, find 20*16

2.

Write the domain of f(x)=

3.

Construct a 3x3 matrix A = (

) Whose elements are given by aij =

4.

If |

5.

Differentiate

6.

Evaluate :-

7.

Find the angle between the two vectors and such that | | =1 , |

8.

Find the equation of the plane having intercept 3 on the y axis and parallel to ZOX plane.

|=|

|, find the value of x


log (cos ex) w r t to x .
2x.dx
and . =1

9. Define Linear objective function in linear programming problem


10.

A fair die is rolled . Consider the events E={1,3,5} and F={2,3} , find P(E|F)
PART

B
10 2=20

Answer any TEN questions:


11.

Show that the relation R in the set of integers given by R = {(a, b) : 5 divides (a-b)} is
symmetric and transitive.

12.

If sin

13.

Write the function

, then find the value of x

)x

, in the simplest form.

14. If the area of the triangle with vertices (2.-6) and (5,4) and (k,4) is 35 sq. units . Find the
value of k using determinant method.
15

Find the derivative of + =9 at (4,9)

16.

If y= log7(logx), find

17.

Evaluate

dx

18.

Evaluate

)dx

19.

Find the slope of the tangent to the curve y=


3

20.

Find the order and degree of the differential equation


( )

at the point whose x co ordinate is

=0

21.

Show that the points A(2 - +,


angled triangle.

22.

If is a unit vector and

23.

Find the distance of the point (2,3,-5) from the plane

24.

If the probability distribution of X is

-3 -5 ) and C(3 -4 -4 are the vertices of a right

)=15, then find

=9

P(X)

0.1

2k

2k

Find the value of k.


PART C

Answer any TEN questions:


25.

Verify whether the function f: R {3}

10 3=30

R {1}, defined by f(x) =

is one-one and onto or

not. Give reason.


(

)+ |x|<1 , y>0 and xy<1

26.

Find the value of

27.

If A=*

28.

If y= tan-1 (

29.

Differentiate

30.

Find the absolute maximum value and the absolute minimum value of the function
f(x)=sinx+cosx, x[0,]

31.

Evaluate

32.

Evaluate

33.

Find the area of the circle x2+y2 =4 bounded by the lines x=0 and x=2 which is lying in the
first quadrant.

34.

In a bank, principal P increases continuously at the rate of 5% per year. Find the
principal interest of time t.

35.

Find a vector perpendicular to each of the vectors


and
+2 -

36.

If =

37.

Find the equation of the line which passes throught the point (1,2,3) and is parallel to the
vector +2 - both in vector form and Cartesian form.

+, find A-1 by elementary operations.

-6

then prove that


w. r. t. x

+4 +3 and

and

where

+2 +

- +3 are coplanar , find

38.

Bag I contains 3 red and 4 black balls and while another bag II contains 5 red and 6 block
balls. One ball is drawn at random from one of the bag and it is found to be red. Find the
probability that it was drawn from bag II ?
PART D

6 5=30

Answer any SIX questions:


39.

Consider f : R+
{

[5, ) given by f (x) = 9x2+6x-5, Show that f is invertible with f-1 (y) =

40.

If A=[

41.

Solve by matrix method: x+y+z=6, x-2y+3z=6, x-y+z=2

42.

If y = sin-1x, Show that (1-x2)

43.

A man of height 2 meters walks at a uniform speed of 5 km/hour, away from a lamp post
which is 6 meters high . Find the rate at which the length of the his shadow increases.

44.

Find the integral of

45.

Find the area of the region enclosed by the parabola x2=4y and the line x=4y-2 and the x
axis.

46.

Derive the equation of the plane in normal form both in the Cartesian and vector form.

47.

Find the particular solution of the differential equation


+

48.

] , verify A3 -3A2 -10A +24I=O , where O is zerom matrix of order 3 x 3

-x

=0

w.r.t x and hence evaluate

= 1 when y = 0 and x = 1.

A die is thrown 6 times , if getting an odd number is success What is the probability of
i)
5 success ?
ii)
at least 5 success?
iii) at most 5 success?.
PART E
1 10=10

Answer any ONE question:


49.

(a) A furniture dealer deals in only two items tables and chairs. He has Rs 50,000 to
invest and has storage space of at most 60 pieces. A table costs Rs 2500 and a chair Rs
500. He estimates that from the sale of one table , he can make a profit of Rs 250 and that
from the sale of one chair a profit of Rs 75. How many tables and chairs he should buy
from the available money so as to maximize his total profit assuming that he can sell all the
items which he buys.
(b)Show that |

50.

| =2(x+y+z)3

(a)

Prove that

and evaluate

(b)

Find the points of discontinuity of the function

,
where
indicates the greatest integer not greater than . Also write the set of values of
, where the function is continuous.

Model Question Paper 4


II P.U.C

MATHEMATICS (35)

Time : 3 hours 15 minute


Instructions :

Max. Marks : 100

(i)

The question paper has five parts namely A, B, C, D and E. Answer all the parts.

(ii)

Use the graph sheet for the question on Linear programming in PART E.

PART A
ANSWER ALL THE QUESTIONS

1.

10X1=10

State with reason whether the function h:2,3, 4,5 7,9,11,13 has inverse with

h (2,7),(3,9),(4,11),(5,13) .
4 1

3 2

2.

Find 3 A if A=

3.

Find the value of sin 1 (sin

4.

The greatest integer function a not differentiable at integral points give reason.

5.

Construct a 2X2 matrix A= aij , where a ij


.
2

6.

Evaluate

7.

If a is a non zero vector of magnitude a and a is a unit vector, find the value of .

8.

Find the distance of the plane 2x-3y+4z-6=0 from the orgin.

9.

Define the term constraints in the LPP.

10.

3
)
5

i j

sin(2 5x)dx

P(X) 0.1 0.5 0.2 -0.1 0.3


Given is not a probability distribution why?
PART
Answer any TEN questions:
11.

B
10 2=20

A binary operation on the set 1, 2,3, 4,5 defined by a b=min a, b , write the operation
table for operation .

1
1
31
tan 1 tan 1
2
7
7

12.

Prove that 2 tan 1

13.

Solve 2 tan 1 (cos x) tan 1 (2cos ecx)

14.

Find the area of triangle whose vertices are (2,0), (-1,0) and (0,3) by using determinant.

15.

Differentiate xsin x , x 0 w.r.t x

16.

If y= tan 1

17.

Find the local maximum value of the function g(x)=x3-3x.

sin x
dy 1
then prove that

1 cos x
dx 2

cos 2 x 2sin 2 x
18. Evaluate
dx
cos 2 x
19.

Evaluate

dx
6 x 13
2

d2y
dy
20. Find the order and degree of differential equation: 2 cos
0
dx
dx
21.

Show that (a b) (a b) 2(a b)

22.

Find a and b if (a b).(a b) and a 8 b

23.

Find the equation of plane passing through the line of intersection of the planes x+y+z=6
and 2x+3y+4z-5=0 and the point (1,1,1).

24.

Assume that each born child is equally likely to be a boy or girl. If a family has two
children. What is the conditional probability of both are girls given that at least one is girl?
PART C
10 3=30

Answer any TEN questions:


25.

Show that the relation R in the set A={x/xz and 0x12} given by R={(a,b)/ a b is
multiple of 4}. Is an equivalence relation?

cos x 3
x in the simplest form.
,
2
2
1 sin x

26.

Write tan 1

27.

Find the value of x and y in

28.

If x= asin

29.

Verify Rolles theorem for the function f(x)=x2+2x-8,x[-4,2].

30.

Find the equation of tangent and normal to the curve y=x4-6x3+13x2-10x+5 at (0,5).

31.

Integrate:

x 2y
4

, y= acos

Show that

2 3 2

0 where O is null matrix.


x y 4 1

dy
y
.
dx
x

sin x
with respect to x.
sin(a x)
5

32.

Evaluate

( x 1)dx as a limit of sum.


1

33.

Find the area of the region founded by y2=9x, x=2 ,x=4 and the X-axis in the I quadrant.

34.

Find the equation of the curve through the point (-2,3) given that the slope of the tangent at
any point (x,y) is

2x
.
y2

35.

Find the area of triangle with vertices A(1,1,2), B(2,3,5), C(1,5,5).

36.

Prove that [a b,b c, c+a] 2[a b c ]

37.

Find the angle between the line

38.

Two groups are competing for the position on the board of directors of a corporation. The
probability of I and II groups will win are 0.6 and 0.4 respectively. Further, if I group
wins,the probability of introducing a new product if 0.7 and corresponding probability is
0.3 if the II group wins. Find the probability that new product introduced was by the II
group.

x 1 y z 3
and the plane 10x+2y-11z=3.

2
3
6

PART D
6 5=30

Answer any SIX questions:


39.

Consider f:R R defined by f(x)=4x+3. Show that f is invertible. Find the inverse of f.

2 3 4
2 0 3
5 6 7

40. If A= 0 2 1 , B 4 0 1 and C= 1 2 3
3 1 2
3 4 5
4 5 4

Prove that A(BC=(AB)C


41.

Solve by matrix method: 2x+y+2z=5, x-y-z=0, x+2y+3z=5.

42.

If y= 5cos(logx)+7sin(logx), show that x2y2 +xy1=0

43.

Find the integral of

44.

Sand is pouring from a pipe at the rate of 12cm3/s. The falling sand forma a cone on the
ground in such a way that the height of the cone is always one-sixth of the radius of the
base. How fast is the height of the sand cone increasing when the height is 4cm?

1
with respect to x and evaluate
x a2
2

dx
.
8x 5

x2 y 2

1 by the method of integration.


45. Find the area of the region bounded by the ellipse
4
9

46.

Find the particular solution of the differential equation


that y = 0 when x=

dy
y cot x 4 x cos ecx , x 0 given
dx

47. Derive the equation of a line in a space passing through two given points both in the vector
and Cartesian form.
48.

Five cards are drawn successively with replacement from well shuffled deck of 52 cards.
What is the probability that (i) all the five card are spade. (ii) none is spade.

PART E
1 10=10

Answer any ONE question:


49.

a) Maximize and Minimize Z=3x+9y subjected to the constraints.

x 3 y 60
x y 10

x y and x 0,y 0 graphically


b) Show that

1 a 2 b2
2ab
2b
2
2
2ab
1 a b
2a
.= 1 a 2 b 2
2b
2a
1 a 2 b2

4
50.

a) Prove that
a

a
2 f ( x)dx if f(x) is even and
f ( x)dx 0
0
if f(x) is odd

And evaluate

sin x cos x dx.


5

b) Find all points of discontinuity of f(x), where f is defined by

x 3 3, if x 2

f x 2

x 1, if x 2

Model Question Paper 5


II P.U.C

MATHEMATICS (35)

Time : 3 hours 15 minute


Instructions :

Max. Marks : 100

(i)

The question paper has five parts namely A, B, C, D and E. Answer all the parts.

(ii)

Use the graph sheet for the question on Linear programming in PART E.

PART A
10 1=10

Answer ALL the questions

2.
3.

Give an example of a relation which is reflexive and symmetric but not transitive.
(
).
Find the value of
Define a scalar matrix.

4.

If|

5.
6.

Differentiate
Evaluate:

1.

|, find the values of x.

with respect to

7.

Find the vector components of the vector with initial point (2,1) and terminal point
(-5,7).
8
What is the equation of the plane that cuts the coordinate axes at (a,0,0),(0,b,0) and
(0,0,c).
9. Define the term corner point in the L. P. P.
10. If E is an event of a sample space S of an experiment then find P(S/F).
PART

B
10 2=20

Answer any TEN questions:

11. Verify whether the operation


12.

Find the value of

defined on
(

( )

13. Write the simplest form of

by

is associative or not.

).
5

14.

Let A(1,3), B(0,0) and C(k,0) be the vertices of triangle ABC of area 3 sq. units .Find k using
determinant method.

15

Prove that greatest integer function defined by ( )

16.

Find

17.

Find the intervals in which the function f given by f(x)=x 2-4x+6 is strictly increasing.

18.

Evaluate:

19.

Evaluate:

, If

, -

is not differentiable at

20.

Form the differential equation of the family of curves

, by eliminating the constants

a and b
21.

If either
or
with an example.

22.

Find the angle

23.

Find the distance between the parallel lines

, but the converse need not be true. Justify your answer

between the vectors

then

) and

and

).

24. A fair die is rolled. Consider the events E={1,3,5), F={2,3} and G={2,3,4,5}.
Find (i)P(E/F) (ii) P(E/G)
PART C
10 3=30

Answer any TEN questions:


25.

Determine whether the relation R in the set


is reflexive, symmetric and transitive.
.

26. Find the value of x, if


27.

Find the values of x and y.[

28.

If

, find

.
]

/
0

+ as

*(

.
1

29. Verify Mean value theorem for the function


and
. Find all
( ) for which

( )
( )

, in the interval ,

- where

30.

Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

31.

Find

32.

Evaluate:

33.

Find the area of the region bounded by the curve

34.

Prove that the equation

35.

Find a vector perpendicular to each of the vectors

)(

dx.

and the line

is a homogeneous differential equation

,which has magnitude 10 units.

36.

Show that the points A(-1,4,-3), B(3,2,-5) C(-3,8,-5) and D(-3,2,1) are coplanar.

37.

Find the Cartesian and vector equation of the line that passes through the points (3,-2,-5)
and (3,-2,6)

38.

A die is thrown. If E is the event the number appearing is a multiple of 3 and F be the
event The number appearing is even. Then find whether E and F are independent?

PART D
6 5=30

Answer any SIX questions:


defined by ( )

39.

If

40.

If

41.

Solve the following system of equations by matrix method:

, where

2 3 ,show that f is invertible and

], prove that A(B+C)=AB+AC.

x +2y +3 z = 2 ; 2x + 3y +z = -1 and x - y - z = -2.


(

) , prove that (

42.

If

43.

A particle moves along the curve 6y=x2+2. Find the points on the curve at which the ycoordinate is changing 8 times as fast as the x- coordinate.

44.

Find the integral of

with respect to x, and hence evaluate

45. Find the area of the of the circle


the area of the circle
.

by the method of the integration and hence find

46.

Find the general solution of the differential equation

47.

Derive the formula to find the shortest distance between the two skew lines

in the vector form.


48.

A fair coin is tossed 8 times. Find the probability of at most 5 Heads.

PART E
1 10=10

Answer any ONE question:

49. (a) A manufacturer produces nuts and bolts. It takes 1 hour of work on machine A and 3
hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1
hour on machine B to produce a package of bolts. He earns a profit of Rs 17.50 per
package on nuts and Rs 7.00 per package on bolts. How many packages of each should
be produced each day so as to maximize his profit, if he operates his machines for at the
most 12 hours a day?
6

(b)

50. (a)
(b)

Prove that |

Prove that

|=(a-b)(b-c)(c-a).

( )

and hence evaluate

Find all the points of discontinuity on f defined by

( )

| |

|.

BLUE PRINT FOR MODEL QUESTION PAPER 2

5 Marks
(Theory)
5 Marks
(Numerica
l Problem)

3 Marks

2 Marks

Weightage
of marks

10

1Mark

Number of
teaching
Hours

13

Alternating Current

Electromagnetic Waves

12 Atoms

13 Nuclei

12

10

--

--

10

120

105

20

16

24

30

25

IV

15

Electromagnetic Induction

III

IX

VIII

II

VII

VI

Magnetism And Matter

CLASS : II PUC

Chapter
Number

UNIT

SUBJECT : PHYSICS (33)

TOPICS
(CHAPTERS)
Electric Charges And Fields
Electrostatic Potential And
Capacitance
Current Electricity
Moving Charges And
Magnetism

Ray Optics and Optical


instruments

10 Wave Optics
11

Dual Nature Of Radiation And


Matter

14 Semiconductor Electronics
15 Communication System

Total Number of Questions

TOTAL MARKS

MODEL QUESTION PAPER 2


II P.U.C. PHYSICS (33)
Time: 3 hours 15 min.

Max. Marks: 70

General instructions:
a) All parts are compulsory.
b) Answers without relevant diagram/ figure/circuit wherever necessary will not carry any marks.
c) Direct answers to the Numerical problems without detailed solutions will not carry any marks.

PART A
I. Answer ALL the following questions:

10 1 = 10

1. Two point charges are separated by some distance, repel each other with a force F.
What will be the force if distance between them is halved?
2. In a Wheat stones network four resistors with resistances P, Q, R and S are connected in a cyclic
order. Write the balancing condition of the network.
3. A current flows in a conductor from west to east. What is the direction of the magnetic field at a
point below the conductor?
4. State Gauss law in magnetism.
5. Name the phenomenon in which an emf is induced in a coil due to the change of current in the same coil.
6. What do you mean by dispersion of light?
7. How does the de-Broglie wavelength of a charged particle changes when accelerating potential increases?
8. What is the significance of the negative total energy of an electron orbiting round the nucleus?
9. A radioactive element

238
92X

emits one -particle and one + particle in succession.

What is the mass number of new element formed?


10. What is sky wave propagation?

PART B
II. Answer any FIVE of the following questions.

5 2 = 10

11. Write any two properties of electric field lines.


12. What are the limitations of ohms law?
13. Mention the expression for time period of oscillation of small compass needle in a uniform
magnetic field. Explain the terms.
14. Give two applications of eddy currents.
15. What is displacement current? Mention its need.
16. Write the two conditions for total internal reflection.
17. Give the circuit symbol and truth table for OR gate.
18. Draw the block diagram of AM receiver.

PART C
III. Answer any FIVE of the following questions.
5 3 = 15
19. Obtain an expression for electric potential energy of a system of two point charges in the absence
of external electric field.
20. Derive the expression for the magnetic force experienced by a current carrying conductor.
21. Write three properties of paramagnetic substances.
22. Obtain the expression for the magnetic energy stored in a coil (solenoid).
23. What is resonance in series LCR circuit? Derive the expression for resonant angular frequency.
24. Derive the expression for resultant displacement and amplitude when two waves having same
amplitude and a phase difference superpose.
25. Give the de-Broglies explanation of Bohrs second postulate.
26. Distinguish between extrinsic and intrinsic semiconductors.
PART D
IV. Answer any TWO of the following questions.
2 5 = 10
27. Obtain the expression for the electric field at any point on the equatorial plane of an electric dipole.
28. Assuming the expression for drift velocity, derive the expression for conductivity of a material = ne2/m.

29. Using Biot Savarts law, derive the expression for magnetic field at a point on the axis of a circular
current loop.
V. Answer any TWO of the following questions.

2 5 = 10

30. Using Huygens wave theory of light, derive Snells law of refraction.
31. Write the five experimental observations of photoelectric effect.
32. Explain the working of semiconductor diode when it is forward biased.
Draw the I-V characteristics for both forward bias and reverse bias of semiconductor diode.
VI. Answer any THREE of the following questions.

3 5 = 15

33. A 600 pF capacitor is charged by a 200 V supply. Calculate the electrostatic energy stored in it.
It is then disconnected from the supply and is connected in parallel to another uncharged 600 pF
capacitor. What is the energy stored in the combination?
34. Two cells of emf 3 V and 2V and internal resistances 1.5 and 1 respectively are connected in
parallel across 3 resistor such that they tend to send current through resistor in the same
direction. Calculate potential difference across 3 resistor.
35. A 60V, 10W lamp is to be run on 100V, 60 Hz ac mains. Calculate the inductance of a choke coil
required to be connected in series with it to work the bulb.
36. A convex lens of focal length 0.24m and of refractive index 1.5 is completely immersed in water of
refractive index 1.33. Find the change in the focal length of the lens.
37. A given coin has a mass 3.0 gram, Calculate the nuclear energy that would be required to separate
all the neutrons and protons from each other. Assume that the coin is entirely made of 29Cu63
atoms of mass = 62.92960u. Given Avogadro number = 6.0231023
mass of proton mp = 1.00727 u and mass of neutron mn = 1.00866 u.

SCHEME OF EVALUATION FOR PHYSICS MODEL QUESTION PAPER 2


ANSWERS
PART A

Q. No

Marks

I.
1.
2.
3.
4.
5.
6.

New force = 4F.


(Since force 1/d2 and new distance = d/2)
P/Q = S/R
Towards North
The net magnetic flux through any closed surface is zero
Self-induction.
The phenomenon of splitting of light into its component colours is known as dispersion.

7.

The de Broglie wavelength decreases when accelerating potential increases.

8.

The electron is bound to the nucleus.

9.
10.
II.

(Since

1
1
1
1
1
1
1
V

Mass number of the new element = 234.


(Since the mass number decreases by 4 units in alpha decay but it does not change in beta decay)
The radio waves emitted from the transmitter antenna reach the receiving antenna after reflection by
the ionosphere of earth atmosphere. This mode of propagation is known as sky wave propagation.

13.

(ii) Two field lines cannot cross each other.


(iii) Electrostatic field lines start at positive charges and end at negative charges.
(iv) They do not form closed loops.
(any two)
Ohms law fails if
(i) V depends on I non-linearly.
(ii) The relation between V and I depends on the sign of V for the same absolute value of V.
(iii) The relation between V and I is non-unique.
(any two)
I
Time period: T = 2
mB

Where I - moment of inertia, B - magnetic field and m - magnetic moment of compass needle.
14. Magnetic braking in trains, Induction furnace, electromagnetic damping, electric power meters. (any 2)
15. The current due to changing electric field (time-varying electric field) is called displacement current.
16.

17.

1
1
1

PARTB

11. (i) Field lines are continuous curves without any breaks.

12.

To remove the inconsistency of Amperes circuital law.


(i) The ray must travel from a denser medium to a rarer medium.
(ii) The angle of incidence in the denser medium must be greater than the critical angle, for the pair of
media and for the given colour of light.
Input
Output
A
B
Y = AA+ B
0
0
0
1
0
1
0
1
1
1
1
1

1
1

1
1
1
1
1+1
1
1

1
1
1+1

18.

2
III
PART C
19. Consider two charges q1 and q2 with position vector r1 and r2 relative to some origin.
There is no external field, so work done in bringing q1 from infinity to r1 is zero.
q1
1
This charge produces a potential in space given by V1 =
4o r1P

Work done in bringing charge q2 from infinity to the point r2 is q2 times the potential at r2 due to q1
1 q1
i.e., W= q2V1 q 2
, Where r12 is the distance between q1 and q2.
4o r12
This work gets stored in the form of potential energy of the system.
1 q1 q 2
Thus, the potential energy of a system of two charges q1 and q2 is U

4o r12

20. Consider a rod of uniform cross-sectional area A and length l.


Let the number density of mobile charge carriers (of each charge q) in it be n.
Then the total number of mobile charge carriers in it is nAl.

For a steady current I in this conducting rod, each mobile carrier has an average drift velocity vd
In the presence of an external magnetic field B , the force on these carriers is

F = (nAl)q [ vd B ]

But nq vd = j , is the current density and |(nq vd )|A = I is the current.

Thus, force on the conductor F = [(n q vd ) A l] B = [ j A l] B = I ( l B )


Where l is a vector of magnitude l, the length of the rod, and with a direction identical to the current I.
21. i) When placed in a non-uniform magnetic field, a piece of paramagnetic substance will tend to move
from weak field to strong field. i.e., they get weakly attracted to a magnet.
ii) They get weakly magnetised when placed in an external magnetic field.
iii) The individual atoms (or ions or molecules) of a paramagnetic material possess a permanent magnetic
dipole moment of their own.
iv) Paramagnetic substances do not possess net magnetisation.
v) The magnetisation of a paramagnetic material is inversely proportional to the absolute temperature T.
vi) is small and positive for paramagnetic materials.
(any three, one mark each)

22.

1
1
1

When a current is established in a solenoid (coil), work has to be done against the back emf.
This work done is stored in the form of magnetic energy in the coil.
For a current I in the coil, the rate of work done (power) is: P=

dW
= I
dt

(since power P=V I)


1

But we know that,


Therefore,

dW
dI
=LI
dt
dt

dW = L I dI

Therefore, the total work done in establishing a current I is given by W = dW = L I dI = LI

This work is stored in the coil in the form of magnetic potential energy,
23. In a series LCR circuit for a particular frequency of the applied ac the current in the circuit
becomes maximum. This is known as electrical resonance.

24.

At resonance, inductive reactance (XL) = capacitive reactance (XC)


1
o L =
o C
1
Thus, resonant angular frequency o
LC
Let the displacement produced by source S1 is given by y1 = a cos(t) that by S2 be y2= a cos(t + )
where is the phase difference between the waves.
The resultant displacement: y = y1 + y2 = [ a cos (t) + a cos (t + )] = a [cos (t + )+ cos (t)]

t +

cos
2

= 2a cos cos t +
2
2

C+D
CD
cos
]
2
2

= 2a cos

[Using cosC+cosD=2cos

The amplitude of the resultant displacement is = 2a cos

1
1
1

1
1

25. For an electron moving in nth circular orbit of radius rn ,the total distance is = 2 rn

26.

Circumference of a stationary Bohr orbit of radius rn is equal to integral multiple of wavelength of matter
waves
2 rn = n ..(1)
h
The de Broglie wavelength of the electron moving in the nth orbit: =
.(2)
mv
nh
nh
From equn(1) and (2),
i.e., mvrn =
2 rn
mv
2
nh
But, angular momentum of the electron is L = mvrn . Hence L =
2
INTRINSIC SEMICONDUCTOR
EXTRINSIC SEMICONDUCTOR
Semiconductor without doping (pure form)
Semiconductor doped with impurity atoms (impure form)
Number of free electrons (ne) is equal to the
Number of free electrons (ne) and number of
number of holes ( nh)
holes (nh) are unequal.
Conductivity is low
Conductivity is high
Conductivity is due to both electrons and holes
Conductivity is mainly due to majority charge carriers
Conductivity depends only on temperature.
Conductivity depends on both temperature and
impurity added (doping).
(any three)

1
1

1
1
1
1

PART D

IV.

LABELLED DIAGRAM

27.

Let a point P be at a distance r from the centre of the dipole (O). Dipole length AB = 2a,
Using Pythagoras theorem, the distance of the point P from the charges is , AP=BP =d= r 2 + a 2
1
q
Using, the expression for electric field due to a charge q at a distance d from it, E =
,
4 0 d 2
1
q
The magnitude of the electric field at P due to the charge +q is E + q =
2
4 0 r + a 2
1
q
The magnitude of the electric field at P due to the charge q is E q =
2
4 0 r + a 2

The total field at P, E +q and E q are resolved in to components parallel to p and perpendicular to p .

The direction of p or p

is from q to +q.

The components normal to the dipole axis ( E + q sin) and ( E q sin) cancel out as they are equal in
magnitude and opposite in direction.
The components along the dipole axis ( E + q cos) and ( E q cos) add up.

The total electric field is E = (E + q + E q) cos p


1
q
1
q
=

cos p ;
2
2
2
2
4
4
r
+
a
r
+
a
0
0

1
q
a
= 2
p
2
2
2
4 0 r + a r + a 2
- 2qa
1
- p
;
E =
p =
32
32
2
2
2
2
4

0
4 0 r + a
r +a

cos =

a
2

r +a

since p 2a q p

1
2

28.

e E
eE
Drift velocity: v d and v d = =
..(1)
m
m
The amount of charge crossing the area A of a conductor in time t
is

q = + n e A v d (t) (2)

Also q = I(t) ;

where I is current.

e2 A n
I
=
Thus , I(t) = + n e A v d (t) ;
Using(1) in (2) ,

E
m

2
I ne
Magnitude of current density: j = =
E .......... (3)
A m
n e2
In the vector form, j =
E, but j E
m
n e2
Thus, conductivity: =
m

LABELLED DIAGRAM,
( is angle between r and R)
Let a circular loop with its centre at the

29.

origin O, radius R carrying a steady current I


and having axis as X-axis. Let x be the
distance of P from the centre O of the loop.
Consider a conducting element dl of the
loop.
The magnitude of the magnetic field dB due to dl is given by Biot-Savarts law,

0 I dl r
and we have r2 = x2 + R2.
dB =
3

r
4

Any element of the loop will be perpendicular to the displacement vector from the element to the axial point.
i.e., dl r .

Hence dl r = r dl.

Thus, dB =

0 I r dl
I dl

= 0
= 0
3
2
4
4 r
4
r

The direction of magnetic field dB

I dl
2

+ R2

.............. (1)

is perpendicular to the plane containing dl and r .

dB has a X-component dBx and a component perpendicular to x-axis dB (in XZ plane).


When the components perpendicular to the X-axis are summed over a complete loop, they cancel out.
Thus, only the X-component dBcos remains.
The net magnetic field along X-direction can be obtained by integrating (summing) dBx= dB cos .(2)

I dl
R
R
From equations (1) and (2),
But cos = =
dBx = 0
cos ;
12
2
2
4 x + R
r
x2 + R 2

dB x =

0 I dl
R
4 x2 + R 2

32

The summation of elements dl over the loop gives 2R, the circumference of the loop. i.e.,
Thus, the magnetic field at P due to the entire circular loop is B = Bx i =

dl = 2 R

0 2 I R 2
0 I R 2
i
=
4 x 2 + R 2 3 2
2 x2 + R 2

32

IV.
DIAGRAM

30.

Let PP represent the surface separating medium-1 and medium-2.


Let v1 and v2 be the speed of light in medium-1 and medium-2
respectively. Consider a plane wave front AB incident in medium-1
at angle i on the surface PP.
According to Huygens principle, every point on the wave front AB
is a source of secondary wavelets.
Let the secondary wavelet from B strike the surface PP at C in a time . Then BC = v1.
The secondary wavelet from A will travel a distance v2 as radius; draw an arc in medium 2.
The tangent from C touches the arc at E. Then AE = v2 and CE is the tangential surface touching all the spheres
of refracted secondary wavelets. Hence, CE is the refracted wave front. Let r be the angle of refraction.
In the above figure,
BAC = i = angle of incidence and ECA = r = angle of refraction
BC = v1
and AE = v2
From triangle BAC, sin i

BC
and
AC

from triangle ECA, sin r

sin i BC/AC BC v1 v1

sin r AE/AC AE v2 v 2

Since v1 is a constant in medium-1 and v2 is a constant in medium-2,

AE
AC

sin i v1

constant....(*)
sin r v 2

c
c
or v = , where c speed of light in vacuum.
v
n
c
c
v1 n 2
For the first medium: v1 =
and for the second medium: v 2 =

n1
n2
v 2 n1

Now, refractive index (n) of a medium: n =

sin i n 2

or n1 sin i = n 2 sin r . This is the Snells law of refraction.


sin r n1
(i) For a given photosensitive material and frequency of incident radiation (above the threshold
frequency), the photoelectric current is directly proportional to the intensity of incident light.
(ii) For a given photosensitive material and frequency of incident radiation, saturation current is
proportional to the intensity of incident radiation but stopping potential is independent of its intensity.
(iii) For a given photosensitive material, there exists a certain minimum cut-off frequency of the
incident radiation called the threshold frequency, below which no photoelectrons emission
(iv) Above the threshold frequency, the stopping potential or the maximum kinetic energy of the
emitted photoelectrons increases linearly with the frequency of the incident radiation, but is
independent of its intensity.
(v) The photoelectric emission is an instantaneous process.

(*) becomes

31.

32.

CIRCUIT DIAGRAM
I V CHARACTERISTIC CURVE

1
1
1
1
1
1
1
1

When an external voltage V is applied across a semiconductor diode


such that p-side is connected to the positive terminal of the battery
and n-side to the negative terminal it is said to be forward biased.

The direction of the applied voltage (V) is opposite to the built-in


potential V0 in the semiconductor diode. As a result, the width of
depletion layer decreases and the barrier height is reduced.

If the applied voltage is small, the barrier potential will be reduced


only slightly below the equilibrium value, the current will be small.
If the applied voltage increase to large value, the barrier height will
be reduced, the current increases.

VI.
1
2

33. Energy stored initially in the capacitor: U CV2

1
2
600 1012 200 12 106 J
2

1+1

Initial charge on the single capacitor is Q = CV = 1210 8 coulomb.

When other (second) uncharged capacitor connected parallel to the first, charge is distributed among them.
Capacitors are having equal capacitances, hence charges on each capacitor are equal = Q1 = Q/2 = 6108 C

8
1 Q12 1 6 10
Now, energy stored in each capacitor: U1

3 106 J

12
2 C
2 600 10

Therefore, the total energy of the combination = 6 10 J

(with unit)

r1 r2
1.5 1
34. Equivalent internal resistance of the combination: req = r r 1.5 1 0.6
1
2

eq

Equivalent emf of the combination:

req

eq
1 2
3 2
+

=
+ eq 2.4 V
r1 r2
0.6 1.5 1

Current through the 3 resistor (external resistor), I =

eq
R req

2.4
2
A
3 0.6 3

Potential difference across 3 resistor, V= IR = (2/3)(3) = 2 V

1+1

(with unit)

ALTERNATE METHOD: Applying Kirchhoffs rules also this problem can be solved.

35. Resistance of Lamp = R = V2/P = (6060)/10 = 360


Current, Irms = P/V = 10/60 = 1/6 A
V
100
600
Impedance: Z = rms
Irms (1/ 6)

1
1

6002 3602
1.273 H
2 (3.142) (60)

Lens in water,

(with unit)

36. Lens in air,

) ;
(

)(

);

)(

Dividing equation (1) by (2),

37.

Z2 R 2
2f

Z R 2 XL2 L
L

1
1

fgw = 0.939 m

(fg focal length in air)

...(1)

(fgw focal length of lens in water)


......(2)
Change in focal length = 0.699 m

1
(with unit)

Mass defect in each copper nucleus = 29 mp + 34 mn MCu


= (29 1.00727) + (34 1.00866) 62.92960
m = 0.57567 u
Energy required to separate all neutrons and protons in one nucleus (is binding energy)
= m 931.5 MeV
Eb = 0.57567 931.5 = 536.2 MeV
Number of atoms in the copper coin: N =

1
1

Total energy required to separate all neutrons and protons in the coin
= Eb N

NOTE: Any other alternate correct method should be considered.

1
1

= 2.868 1022

= 536.2 2.868 1022 = 1.538 1025 MeV

1
(with unit)

BLUE PRINT FOR MODEL QUESTION PAPER 3

2 Marks

3 Marks

5 Marks (Theory)

5 Marks (Numerical Problem)

13

Nuclei

14

Semiconductor Electronics

12

11

15

Communication System

Total Number of Questions

--

--

10

120

105

20

16

24

30

25

Current Electricity

15

13

Moving Charges And Magnetism

10

Magnetism And Matter

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Ray optics and optical instrument

10

Wave Optics

Chapter Number

Unit

Weightage of marks

Atoms

Number of teaching Hours

12

II

III

IV
V

VI
VII
VII
I

11
IX

Subject : PHYSICS (33)

1Mark

Class : II PUC

CHAPTERS

Electric Charges And Fields


Electrostatic Potential And
Capacitance

Dual Nature Of Radiation And


Matter

TOTAL MARKS

MODEL QUESTION PAPER 3


II P.U.C. PHYSICS (33)
Time: 3 hours 15 min.
General instructions:

Max. Marks: 70

a) All parts are compulsory.


b) Answers without relevant diagram/ figure/circuit wherever necessary will not carry any marks.
c) Direct answers to the Numerical problems without detailed solutions will not carry any marks.

PART A
I Answer the following

10 x 1 = 10

1. What is electric dipole.


2.

State Ampers circuital law.

3.

Mention any one use of electromagnet.

4.

Name the law which gives polarity of induced emf.

5.

Give the wavelength range of X-rays.

6.

Mention the expression for displacement current.

7.

How does the power of a lens vary with its focal length?

8.

Who proposed wave theory of light?

9.

Write the SI unit of activity.

10. Draw the circuit symbol of npn transistor.

II.

PART B
Answer any FIVE of the following questions

52 = 10

11. Write any two properties of electric field lines.


12. Mention an expression for force on charge moving in uniform magnetic field and
explain the terms.
13. Define the terms retentivity and coercivity.
14. What are eddy currents? Give one use of eddy currents.
15. What is a thin prism? Write its deviation expression.
16. Represent the plane polarised light and unpolarised light diagrammatically.
17. Define half-life of radioactive element and mention expression for it.
18. Write two differences between intrinsic and extrinsic semiconductors.

III.

PART C
Answer any FIVE of the following Question

53 = 15

19. Derive an expression for an electric potential energy of a system of two point
charges in the absence of electric field.
20. State and explain Ohms law and hence define ohm.

21. Write any three properties of ferromagnetic materials.


22. Derive an expression for motional emf ,induced across the end of a conducting
rod moving in a uniform perpendicular magnetic field
23. Mention any three sources of energy losses in transformer.
24. Mention three properties of nuclear forces .
25. Distinguish between conductors,insulators and semiconductors on the basis of
band theory
26. Draw the block diagram of amplitude modulation transmitter.

IV.

PART D
Answer any TWO of the following Questions

25 = 10

27. Obtain an expression for electric field due to an infinitely long straight uniformly
charged wire using Gauss law
28. Derive an expression of effective resistance of two resistors connected in parallel
29. Derive an expression for magnetic field on the axis of circular wire carrying
electric current.
V.

Answer any TWO of the following Questions


25 = 10
30. Derive the expression for the refractive index of the material of the prism in
terms of angle of prism A and angle of minimum deviation D
31. What is photoelectric effect? Using Einsteins photoelectric equation, explain
three experimental results.
32. Explain n-p-n transistor as an amplifier in common emitter mode.

VI.

Answer any THREE of the following.

35 = 15

33. A 400 pF capacitor charged by a 100 V d c supply is disconnected from the supply
and connected to another uncharged 400pF capacitor calculate the loss of
energy.
34. Three resistors 1,2 and 3 are connected in series, what is the total resistor of
the combination? if the combination is connected to a battery of emf 12 V and
negligible internal resistance then obtain the potential drop across each resistor.
35.

A series L C R circuit with R = 20,L =1.5 H and C = 35F is connected to a


variable frequency of 200 V AC supply when the frequency of the supply is equal
to the natural frequency of the circuit , what is the average power transferred to
the circuit in one complete cycle.

36. Monochromatic light of wavelength 5000 Ao from a narrow slit is incident on the
double slit. If the separation of 10 fringes on the screen 1 m away is 2 cms . Find
the slit separation.
37. Calculate the shortest and longest wavelength of Balmer series of hydrogen
atom. Given R = 1.097 x10 7/m.

SCHEME OF EVALUATION: MODEL QUESTION PAPER 3


Q. No

I.
1.

Marks

ANSWERS
PART A

3.
4.
5.

Two equal and opposite charges separated by small distance constitutes an electric
dipole.
The line integral of magnetic field around any closed path in free space is equal to
o
times the net current enclosed by that path .
Used in electric cells/loud speakers/telephone (ANY ONE)
Lenzs law
0.1Ao to 100Ao

6.

Displacement current: id = o

2.

7.
8.
9.
10.

Inversely
Huygen
Bequerel or

dE
dt

1
1
1
1
1
1
1
1
1
1

dis/s
n

n
p

II.
11.
12.

PARTB

Any two
F = B q v sin
Explanation of terms
13. Correct Definitions
Jkcfhjkdhfj
14. Meaning
Any one use
15. It is a prism of small angle
d = A(n-1)
Representation(diagram)
16.
Polarized
Un-polarised
17.
18.
III
19.

1
1
1each
1
1
1
1
1
1
1
1
1 each

Definition
Expression
Two differences

PARTC
1
4 o
1
W =
4 o

V1 =

q1
r
q1
r

1
q2

This work done is stored in the charges as potential energy and is given by ,
PE =

20.

Statement.
Explanation.
Definition of ohm .

1
4 o

q1q 2
r

Where r is the distance between the charges

1
1
1
1

21.
22.

Any three properties

1 each

Magnetic flux enclosed by the loop is given by =

= Bl x

From Faradays law , magnitude of induced emf is given by,


e =
Arriving at
23.
24.

d
------>(2)
dt

e = Blv

dx
v
dt
1 each

Any three losses


Any three properties

1 each

25.
Conduction band

Small energy gap

Overlapping

Valence band

Conductors

Conduction band

Conduction band

1each

Large energy gap

Valence band

Valence band

Semiconductors

Insulators

or
Conductors.

1each

In conductors,valence band and conduction bands are overlapped .


Semiconductors
semiconductors, the valence band and conduction bands are separated by small
energy gap .
Insulators.
In insulators, the valence band and conduction bands are separated by large energy
gap
3

26.
Transmitting antenna
Message signal

Power
amplifier

Amplitude
modulator

Carrier

PARTD
IV.
27.

Figure
Flux through curved surface = E area of curved surface

1
= E

r l -.(1)

From Gausss theorem, Flux =

q
---->(2)
o

On comparing (1)and (3), we get


E
E =

rl=

2 o r

Figure

I = I1 + I2

28.

V
V
and I 2
R1
R2
V
V V

R p R1 R2
1
1
1

R p R1 R2

I1

29.

Diagram


o I ( dl r )
dB = dB
4
r3
Idl
dB o 2
4 r

1
1

1
1
1

Magnetic field due to two elements = 2dB sinq


1

Arriving at

o 2IR 2
dB
4 ( R 2 x 2 )3 / 2
V.
30.

Ray diagram
n

sin i1
sin r1

Arriving at d = (r1+r2-A)
Graph or expatiation of variation of d with i (angle of incidence)
A D
sin

Arriving at final expression , n


A
sin
2

1
1

1
1

31.

Meaning of photoelectric effect

Equation

Three results
32.

VI.
33.

34.

1each

Circuit diagarm
Input and out wave forms
Explanation
1
1
U i CV 2 qV 2 10 6 J
2
2
After connecting charged capacitor to uncharged

1
capacitor of same capacity of the charge will flows
2
1
1q
qV
U f q1V V
110 6 J
2
22
4

Loss in energy, U i U f 110 6 J

R s R1 R 2 R 3
R s 1 2 3 6
I

E
Rr

12
2A
6
pd across R 1 ,

V1 IR1 2V

pd across R 2 ,

V2 IR2 4V
V3 IR3 6V

pd across R 3 ,

35.

1
1
3

Z R 2 ( X L X C )2

Atresonance X L X C 0

Z R
V
I 10 A
Z
P VI 2000W

1
1
1

n 1 10 2

36.

10-2 10-2

10-3 m
n
10

1
1

D
d

D
d
2.5 10 4 m

37.
1
1
R 2 2

n1 n2
To calculate longest wavelength n1 2 and n 2 3
1

1 1
1.097 x10 7 2

1
1
R 2 2

n1 n2
6.5616x10 -7 m

To calculate shortest wavelength, n1 2 and n 2

1 1
1.097 x10 7 2

3.647 x10 -7 m

BLUE PRINT FOR MODEL QUESTION PAPER 4

10

12 Atoms

13 Nuclei

12

10

120

105

4
5

5
6
7
6
8

Current Electricity
Moving Charges and
Magnetism
Magnetism and
Matter
Electromagnetic
Induction
Alternating Current
Electromagnetic
Waves
Ray Optics and
Optical Instruments

10 Wave Optics

11

Dual nature of
Radiation And Matter

Semiconductor
10 14 Electronics
Communication
15
Systems
TOTAL

5 mark (NP)

13

5 mark (LA)

15

Electric Charges and


Fields
Electrostatic Potential
and Capacitance

3 mark (SA2)

2 mark (SA1)

Topic

1 mark (VSA)

Chapter

Unit

Marks allotted

CLASS : II PUC

Teaching
Hours

SUBJECT : PHYSICS (33)

10

16

24

30

25

MODEL QUESTION PAPER 4


II P.U.C. PHYSICS (33)
Time: 3 hours 15 min.
General instructions:

Max. Marks: 70

a) All parts are compulsory.


b) Answers without relevant diagram/ figure/circuit wherever necessary will not carry any marks.
c) Direct answers to the Numerical problems without detailed solutions will not carry any marks.

PART A
I.

Answer the following

10 x 1 = 10

1. What is the electric field strength inside a charged spherical conductor?


2. How does the resistivity of a conductor vary with temperature?
3. State Gausss law in magnetism.
4. Name one application of eddy current.
5. What type of lens is used to correct the myopic eye?
6. What is the rest mass of photon?
7. Write one limitation of Bohrs atom model.
8. Define mean life of a radioactive element.
9. Write the logic symbol of NAND gate.
10. What is attenuation in communication system?
PART B
II

Answer any FIVE of the following questions.

52=10

11. Write Coulombs law in vector form and explain the terms.
12. Mention two limitations of ohms law.
13. Write two differences between dia and paramagnetic substances.
14. Current in a coil falls from 5A to 0A in 0.1 s, calculate the induced emf in a coil if its self
inductance is 4H.
15. Give two uses of UV rays.
16. Draw the ray diagram for the formation of image in case of a concave mirror when the
object is placed at the centre of curvature of a mirror.
17. Distinguish between intrinsic and extrinsic semiconductors.
18. Draw the block diagram of AM transmitter.
PART C
III

Answer any FIVE of the following Questions.


19. Derive the relation between electric field and electric potential.
20. Arrive at the expression for velocity selector using Lorentz force.
21. Mention any three salient features of Hysteresis loop.
22. Derive an expression for motional emf.
23. Mention three power losses in a transformer.

53=15

24. Using Huygens wave theory of light, show that the angle of incidence is equal to angle
of reflection in case of reflection of a plane wavefront by a plane surface.
25. Explain three facts of photoelectric effect using Einsteins photoelectric equation.
26. Explain the working of a Zener diode as a voltage regulator.
PART D
IV

Answer any TWO of the following Questions

25=10

27. Obtain an expression for electric field for an electric dipole along its axis.
28. Derive an expression for equivalent emf and equivalent internal resistance when two
cells are connected in parallel.
29. Derive an expression for the magnetic field at a point along the axis of circular current
loop.
Answer any TWO of the following Questions
25=10
30. What is interference of light? Arrive at the conditions for constructive and destructive
interference by assuming the expression for intensity.
31. Derive an expression for total energy of an electron in hydrogen like atom assuming radius of the
orbit.

32. Explain the working of npn transistor as an amplifier in ce mode


VI

Answer any THREE of the following.

35=15

33. Two point charges 510-8C and -310-8C are located 16cm apart. At what points on the
line joining the two charges is the electric potential zero?
34. Determine the current through the galvanometer in the
circuit given P=2, Q = 4, R = 8 , S = 4, G =10 E =
5V and r =0.
35. Calculate the resonant frequency in LCR circuit with
inductance 2.0 H, capacitance 32 F and resistance 10 .
What is the Q value of this circuit?
36. An object of size 3 cm is placed 14 cm in front of a concave lens of focal length 21 cm.
Calculate position and size of the image.
37. Consider the fission process of 92U

238

by fast neutrons. In one fission event no neutrons

emitted and final end products after beta decay of primary fragments are
44Ru99

Calculate Q for this process.

Mass of 92U238 = 238.05079 u,

Mass of 58Ce140 = 139.90543 u

58Ce140

and

SCHEME OF EVALUATION FOR PHYSICS MODEL QUESTION PAPER 4


Q.NO
I.

1
2
3
4
5
6
7

10
II
11

12

13

ANSWERS
Answer the following

PART-A

What is the electric field strength inside a charged spherical conductor?


Zero
How does the resistivity of a conductor vary with temperature?
Resistivity is directly proportional to temperature
State Gausss law in magnetism.
The net magnetic flux through any closed surface is always zero.
Name one application of eddy current.
Speedometer/Induction furnace any one relevant answer.
What type of lens is used to correct the myopic eye?
Concave lens of suitable focal length.
What is the rest mass of photon?
Zero
Write one limitation of Bohrs atom model.
It is applicable only for hydrogen and hydrogen like atoms or any other
relevant.
Define mean life of a radioactive element.
The ratio of total life time of all the atoms of radioactive element and the
total number of atoms present initially.
Write the logic symbol of NAND gate.

What is attenuation in communication system?


The loss of strength of a signal while propagating through a channel.
PART-B
Write Coulombs law in vector form and explain the terms.

qq
f12 k 1 2 2 r21 Where q1 and q2 are two point charges, r is separation between the
r
charges and r21 is the unit vector directed from q2 to q1.
Mention two limitations of ohms law.
It is applicable only for the metallic conductor when other physical
conditions are constants.
Not applicable for semiconductor /super conductor/ electrolytes.
Write two differences between dia and paramagnetic substances.
Diamagnetic substances
Paramagnetic substances
1. These substances are feebly 1. These substances are feebly
repelled by a powerful
attracted by a powerful
magnet.
magnet.
2. Relative permeability of these 3. Relative permeability of these
substances is slightly less
substances is slightly more
than one.
than one.

MARKS
10 x 1 = 10

1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark

1 mark

1 mark

1 mark

2 marks
1 mark
1mark

1 mark each

14

15

16

Current in a coil falls from 5A to 0A in 0.1 s, calculate the induced emf


in a coil if its self inductance is 4H.
dI
EL
dt
5
E 4
200V
0.1
Give two uses of UV rays.
1. In the analysis of the structure of organic compounds.
2. In high resolving power microscopes.
3. In the study of bacteria.
Any two uses
Draw the ray diagram for the formation of image in case of a concave
mirror when the object is placed at the centre of curvature of a mirror.

1 mark
1 mark

1 mark each

2 marks

Arrow mark must be shown

17

Distinguish between intrinsic and extrinsic semiconductors.


Intrinsic semiconductors
Extrinsic semiconductors
These are the pure semiconductors.
Electron density is equal to the hole
density
Conductivity is low

These
are
the
impure
semiconductors.
Electron density is not equal to the
hole density.
Conductivity is high

1 mark each

Any two differences


18

Draw the block diagram of AM transmitter.


Transmitting antenna

2 marks
Message signal

III
19

Amplitude
modulator

Power
amplifier

Three marks/Answer any Five


Derive the relation between electric field and electric potential.
+q

B
dx

dW
dV =
qo
E =

qA
o

dV
dx

1 mark
1 mark
1 mark

20

Arrive at the expression for velocity selector using Lorentz force.

F = q ( E vB)
If = 900 and Eq = qvB
v =E/B

21

Define the terms (a) Hysteresis (b) Retentivity and (c) coersivity.
Hysteresis: It is the phenomenon of lagging of magnetic induction behind the
magnetic intensity, when a ferromagnetic material is subjected to cycle of
magnetization.

1 mark
1 mark
1 mark

1 mark each

Retentivity: It is the amount of magnetic induction left in the specimen of


ferromagnetic material when magnetic intensity is reduced to zero.

22

23

24

Coercivity: It is the amount of reverse magnetic intensity required to remove


the residual magnetism.
Derive an expression for motional emf.
Figure
= Blx
e = Bl v
Mention three power losses in a transformer.
1)
Loss due to heating.
2)
Loss due to flux leakage.
3)
Loss due to eddy currents.
4)
Loss due to hysteresis .
Any three
Using Huygens wave theory of light, show that the angle of incidence is equal to

1 mark
1 mark
1 mark

1 mark each

angle of reflection in case of reflection of a plane wavefront by a plane surface.

1 mark

25

AE = BC = vt

1 mark

The triangles EAC and BAC are congruent and therefore, the angles i and r (as
shown in Fig) would be equal. This is the law of reflection.

1 mark

Explain three facts of photoelectric effect using Einsteins photoelectric equation.

1) The photoelectric emission is an instantaneous process without any apparent

time lag (109s or less), even when the incident radiation is made
exceedingly dim.
2) For every photo emissive surface there is a certain minimum frequency of
the incident radiation below which there is no photoelectric effect, called
threshold frequency and the corresponding wavelength is called threshold
wavelength no matter how intense the incident light is. Threshold frequency
is different for different materials.
3) For a frequency greater than the threshold frequency, the strength of the
photoelectric current is directly proportional to the intensity of the incident
radiation.

1 mark each

4) For a given photosensitive material and frequency of incident radiation,

26

saturation current is found to be directly proportional to the intensity of


incident radiation whereas the stopping potential is independent of its
intensity.
Any three
Explain the working of a Zener diode as a voltage regulator.
Circuit
diagram
1mark

Any increase/decrease in the input voltage


results in, increase/decrease of the voltage
drop across Rs without any change in

2 marks

voltage across the Zener diode.


IV
27

Five marks/Answer any Two

PART-D

Obtain an expression for electric field for an electric dipole along its axis.

1mark

electric field at P due to dipole is given by

1
1
P
q

4 0 r a 2 r a 2

1mark

Where p is the unit vector along the dipole axis (from q to q).
E

For a short dipole, a<<r


E

28

2p

4 0 r 3

q
4 0
1

1mark

4ar
2

4qa

4 0 r 3

p r>>a

1mark

1mark

Derive an expression for equivalent emf and equivalent internal resistance when
two cells are connected in parallel.

1mark
1mark

I = I1 + I2
V

1r2 2 r1
r1 r2

V = eq I req

eq

1r2 2 r1
r1 r2

r1r2
r1 r2

1mark

1mark

req

29

r1r2
r1 r2

1mark

Derive an expression for the magnetic field at a point along the axis of circular
current loop.

1mark

dB

0 I dl sin
4
r2
2 dB sin = 2

1mark

0 I dl sin
sin along PX.
4
r2

Magnetic field at P due to one complete turn of the coil B1=

1mark

0 2 I dl R

r3

0 2I R 2
B1=
along PX
4 R 2 X 2 3 2
V

Five marks/Answer any Two

30

What is interference of light? Arrive at the conditions for constructive and


destructive interference by assuming the expression for intensity.
Modification in the intensity of light due to the superposition of two or more light
waves from coherent source in the region of crossover is called interference of
light.
Arriving at the conditions for constructive interference
p.d n and phase difference 2n where n = 0, 1, 2, 3, etc
Arriving at the conditions for destructive interference

p. d (2n 1)

31

phase difference (2n 1) where n = 0, 1, 2, 3, etc.,

1mark

1mark

1mark

2marks
2marks

Derive an expression for total energy of an electron in hydrogen like atom


assuming radius of the orbit.

rn

0n2h2
mZe2

1 Ze2
P.E =
4 0 rn

1mark

1mark

K .E

1 1 Ze2
2 4 0 rn

2mark

En

mZ 2e 4
8 2 0 n 2 h 2

1mark

32

Explain the working of npn transistor as an amplifier in ce mode.

2 marks

VBB I B R VBE
and
VCE VCC I C RL
with explanation
A

2 mark

RL
RIN
1 mark

VI

Five marks/Answer any Three

33

Two point charges 510-8C and -310-8C are located 16cm apart. At what points
on the line joining the two charges is the electric potential zero?

1 q
4 0 r

1 mark

Between the two charges


q2
1 q1
1

4 0 x 4 0 16 x
10 cm from +ve charge

2 marks

Outside the two charges


q2
1 q1
1

4 0 x 4 0 16 x
40 cm from +ve charge
34

2 marks

Determine the current through the galvanometer in the circuit given P=2, Q = 4, R =
8 , S = 4, G =10 E = 5V and r =0.

2I1 10I g 8I 2 0
4I1 18I g 4I 2 0

1 mark each

12I1 10I g 8I 2 0
By solving the above equations
Ig = 0.12A

2 marks

35

Calculate the resonant frequency in LCR circuit with inductance 2.0 H,


capacitance 32 F and resistance 10 . What is the Q value of this circuit?

1
1 mark

LC

Substitution

1 mark

Calculation of = 125 Hz

1 mark

1 L L
1

R C
R RC
1 mark

Substitution

1 mark

Calculation of Q = 25

36

An object of size 3 cm is placed 14 cm in front of a concave lens of focal length


21 cm. Calculate position and size of the image.

1 1 1

v u f

Solution:

Substitution
Calculation of v = 8.4 cm

height of the image v

height of the object


u

Height of the image = 1.8 cm

37

The half life of

38Sr

90

1 mark
1 mark
1 mark

1 mark
1 mark

isotope is 28 years. What is the rate of disintegration of 15

mg of this isotope? (Given Avogadro No = 6.0231023)

R N
1 mark

N=1.0041020

1 mark

0.693
T

7.848 10

1 mark
10

R 7.879 1010 Bq

1 mark
1 mark

Group

Unit

Group I
Physical

1
2
3
4
5

Group II
Inorganic
chemistry

Group III
organic
chemistry

6
7
8
9
10
11
12
13
14
15
16

Model question papers prepared by Master trainers, Department of PU education, Bangalore.


II-PUC CHEMISTRY
BLUE PRINT FOR MODEL QUESTION PAPER - 1
PartA
Part-B
Part-C
I
II
III
Title
Hours
Marks
10 1
82
83
Mark
Mark
Mark
The Solid state
8
07

Solution
9
07

Electrochemistry
9
08

Chemical Kinetics
9
08

Surface chemistry
6
05
Total of Group -I
41
35
General principles and processes of isolation of
5
04

elements
The p-block elements
11
10


The d and f- block elements
9
08


Co-ordination Compounds
7
07


Total of Group -II
32
29
Haloalkanes and Haloarenes
7
06

Alcohols, phenols and ethers


8
07

Aldehydes, Ketones and carboxylic acids


9
08

Amines
6
05
Biomolecules
7
06

Polymers
5
05
Chemistry in everyday life
5
04

Total of Group -III
47
41
TOTAL
120
105

Part-D
IV & V
11 5
Mark

Total

07
07
08
08
05
35
04

10
08
07
29
06
07
08
05
06
05
04
41
.2

-2II PUC CHEMISTRY (34)


MODEL QUESTION PAPER - 1
Time: 3 hours 15 minutes

Maximum Marks: 70
Instructions:

1. The question paper has four parts: A, B, C and D. All parts are compulsory.
2.
Write balanced chemical equations and draw labelled diagrams wherever required.
3. Use log tables and the simple calculators if necessary.
(Use of Scientific Calculators is not allowed)
PART- A
I. Answer ALL of the following. ( Each questions carries 1 mark)

2.
4.

10 1 = 10

1. State Henrys law.


What is the conclusion drawn when Vant Hoffs factor of a solution is less than one?
3. How molar conductivity varies with dilution?
Mention one criterion for intermolecular collisions of two reactants to be effective.
5. Name the metal that is refined by Van Arkel method.
6. Name the first noble gas compound prepared by Neil Bartlett?
7. Give an example for Heteroleptic complex.
8. Write the IUPAC name for CH3-CH(CH3)-CH2Cl.
CO, HCl
9.
Give the name of the product X.
X
Anhyd AlCl3 / CuCl

10. Name the storage polysaccharide present in animals.


PART- B
II. Answer Any FIVE of the following. ( Each questions carries 2 mark) 5 2 = 10
11. a) Give one example for paramagnetic substance.
b) Which type of binding force existing in ice?
12. Write anodic and cathodic half-cell reactions taking place in Daniel cell.
13. Show that for first order reaction t87.5% = 3 t50%.
14. What is lanthanide contraction? What is the cause for it?
15. How do you convert bromoethane into tertiary-butylethyl ether? Give the chemical equation of the
reaction.
16. What is Stephens reaction? Give the chemical equation of the reaction.
17. What is the therapeutic action of a) Paracetamol b) Barbituricacid.
18. What are anionic detergents? Give an example.
PART- C
III.
Answer Any FIVE of the following. ( Each questions carries3 mark) 5 3 = 15
19.

Explain the extraction of aluminium from purified alumina by Hall-Heroult process.


3
20. Explain manufacture of nitric acid by Ostwalds process.
3
.3

-321. a) How is ozonised oxygen prepared?


2
b) Write the structure of sulphurous acid.
1
22. a) How does phosphorus react with limited amount of chlorine? Give equation.

23.

2
b) What is the product obtained by the reaction between fluorine in excess of bromine?
1
a) 3d Transition metals and their compounds are good catalysts. Give two reasons?
2
b) Give the formula for the calculation of spin only magnetic moment.
1
24. Explain the manufacture of Potassium dichromate from chromite ore.
3
25. Using VBT explain,
i) Geometry of the complex
ii) Type of hybridization, in the complex ion [CoF6] 3-.
iii) Is it an inner or outer orbital complex?
26. a) Draw the structures of cis -trans isomers for [Pt (NH3)2.Cl2].
2
b) How many ions are produced from the aqueous solution of complex K3[Al(C2O4)3]
1

PART D
IV.
Answer Any THREE of the following. ( Each questions carries5 mark) 3 5 = 15
27. a) Calculate the packing efficiency in a Face Centered Cubic lattice.
3
b) If a metal with atomic mass 209 crystallizes in a simple cubic lattice what is the edge length of its unit
cell. (Given d = 91.5 kg m-3).
2
28. a) 5.8g of a non-volatile solute was dissolved in 100g of carbon disulphide
(Molar mass = 76). The
vapour pressure of the solution was found to be 190mmHg. Calculate the molecular mass of the solute.
The vapour pressure of pure carbon disulphide 195 mm Hg.
3
b) What are azeotropes? Give an example.
2
3
29. a) The resistance of M/10 solution is found to be 2.5 X 10 ohms. Calculate molar conductance (Given Cell
constant = 1.15 cm-1).
3
b) Mention two general methods for prevention of corrosion.
2
30. a) Derive an expression for rate constant of a first order reaction.
4
b) What is the effect of positive catalyst on energy of activation?
1
31. a) Mention two factors which affect adsorption of a gas on a solid.
2
b) Is synthesis of ammonia by Habers process, a homogeneous or heterogeneous catalysis?
1
c) State Hardy-Schulze rule. Among Al2(SO4)3 and (NH4)3PO4 which is better coagulating agent for a
negative sol ?
2

.4

-4V. Answer ANY FOUR of the following. ( Each questions carries 5 mark) 4 5 = 20
32. a) Complete the following reaction and write its name
2C6H5Cl + 2Na
? + 2NaCl
2
Dry ether
b) Explain Zaitsev rule with an example.
2
c) A Haloalkane when boiled with aqueous KOH which gives an alcohol having inversed configuration.
Name the mechanism involved in this reaction.
1
33. a) Explain the mechanism involved in the conversion of ethanol into ethene.
3
b) An organic compound with molecular formula C6H6O gives white precipitate with bromine water.
Identify the functional group in the organic compound and write the chemical equation for the reaction.

35.

34. a) Explain Cannizaros reaction with an example.


2
b) Name the product obtained by the reaction of acetyl chloride with dimethylcadmium.
1
c) Explain the reaction between carboxylic acid and PCl5.
2
a)Explain carbylamine reaction by taking methyl amine as an example.
2
b) Why do primary amine have higher boiling point than tertiary amines?
1
c) Give an example for a coupling reaction of diazonium salt and give its chemical equation.
2
36. a) Deficiency of which vitamin leads to night blindness?
1
b) Which hormone is responsible for the hyperthyroidism?
1
c) What is a Zwitter ion of an amino acid? Give its general formula.
2
d) What is a nucleotide?
1
37. a) What are Elastomers? Give example.
2
b) Write the partial structure of nylon 6, 6 and Bakelite.
2
c) What is vulcanization of rubber?
1
.5

-5II PUC CHEMISTRY (34)


SCHEME OF VALUATION FOR MODEL QUESTION PAPER 1
Note: Any other correct alternate answer can be honoured wherever applicable.
I.
PART - A
1.

2.

3.
4.

Henrys law states that the partial pressure of the gas in vapour phase is
proportional to the mole fraction of the gas in the solution.
OR
The mole fraction of the gas in the solution is proportional to the partial
pressure of the gas over the solution.
The solute in the solution undergoes association.
OR
Tb or Tfwill be half of the normal value and molar mass will be twice the
expected value.
It increases with dilution

Marks

1
1

6.

Proper orientation of molecules.


or
Energy of activation of the molecules.
Zirconium OR Zr
OR
Titanium OR Ti
Xenonhexafluroplatinate(IV)

7.

[Co(NH3)4 CO3] Cl OR any suitable example

8.

1-Chloro-2-methylpropane

9.

Benzaldehyde

10.

Glycogen

5.

II.

PART -B

11.

a) O2 OR Compounds of Cu+2 OR Fe+3 OR Cr+3 OR any suitable example.


b) Hydrogen bonding

12.

At anodic : Zn (s)
Zn +2 + 2eAt Cathodic :Cu 2+ + 2e -
Cu (s)

1
1
1
1

13.

Expression of k when 87.5% of react an t is reacted


k=

2.303 100
log
t 87.5%
12.5

k=

2.303
x 0.9031 - - - (1)
t 87.5%

Expression of k when 50% of react an t is reacted


2.303 100
k=
log
t 50%
50
k=

2.303
x 0.3010 - - - (2)
t 50%

K = Equation (1) / Equation (2)


t 87.5% = t 50%
14.

15.
16.
17.
18.

III.
19.

20.

The overall decrease in atomic and ionic radii from Lanthanum to Lutetium is
known as Lanthanide Contraction.
It causes radii of 3rd transition series to be very similar with those of the
corresponding members of second transition series.
C2H5Br + (CH3)3C-O-Na (CH3)3C-O-C2H5 + NaBr
Explanation
RCN + SnCl2 + HCl RCH = NH
RCHO +
H
Explanation
a) Decreases body temperature during fever
b) Tranquilizer
The sodium salts of sulphonated long chain alcohols or hydrocarbons are called
anionic detergents.
Example: Sodium lauryl Sulphate
PART C

Diagram
At cathode: Al3+(Molten) + 3e- Al(l)
At anode: C(S) + O2- CO (g) + 2e- or C(S) + 2O2- CO2(g) + 4eCatalytic oxidation of ammonia by atmospheric oxygen.

1
1
1
1

4NH3(g) + 5O2(g)

21.

/
/

Nitiric oxide oxidises into nitrogen dioxide


2NO(g) + O2(g) 2NO2(g)
Nitrogen dioxide dissolves in water to give nitric acid
3NO2(g) + H2O(l) 2HNO3( aq) + NO(g)
a) Explanation

> 2O3

3O2
b)
22.

> 4NO(g) + 6H2O(g)

O
P
H - O -S - O - H

a) Explanation
P4 +6 Cl2 4PCl3
b) BrF5

1
1
1
1
1
1
1
1
1

1
1
1
1

1
1
1

23.

24.

25.

26.

a) 1) Large surface area,


2) Variable valence
b) = n (n + 2

1
1
1

Explanation with
4 FeCr2O4 + 8 Na2CO3 + 7 O2 8 Na2CrO4 + 2 Fe2O3 + 8 CO2
2Na2CrO4 + 2 H+ Na2Cr2O7 + 2 Na+ + H2O
Na2Cr2O7 + 2 KCl K2Cr2O7 + 2 NaCl
Geometry:- Octahedral
Hybridisation:- sp3d2
Type of complex:- Outer orbital complex
a) structure of isomers
b) 4 ions

1
1
1
1
1
1
1+1
1

IV.
27.

a) Packing efficiency =

1
1

= 4x

4 3
r x 100%
3
a3
%

b) a 3 =
=

edge length a = 2 2 r

1
1

=74%

Z .M
N A .d

1x 209
6.023 x1023 x 91.5 x10-3

= 3.359 x10-6 cm
28.

a)

P 0 - P w.M
=
P0
mW

195 - 190 5.8x 76


=
195
m x100

1
1

5.8 x 76 x195
m=
100 x 5
= 171.9 g mol

-1

b) A solution which distils over without change in composition


Example: 95.6% ethanol + 4.4 % water OR any other suitable example.

29

l l
x
A R
1
=1.15 x
2.5 x103

a) k =

= 4.60 x10 -4 ohm -1cm -1


1000 x k
Lm =
M
1000 x 4.60 x10 -4
=
0.1
= 4.60 ohm -1cm 2 mol-1

1
1
1
1

b) i) painting
ii) Electrochemical method
Or any other suitable method
30

a) Consider a first order reaction


RP

Rate = -

d [R]
= k[ R]
dt
1

d[R]
= -k dt
[R]
Integrating the above equation we get

.......... (1)

ln[R] = - k t + I
When t =0 , [R] = [R]0
Equation (1) becomes

ln[R]0 = I
Therefore equation (1) becomes

ln[R] = -k t + ln[R]0
1 [R]0
k = ln
t [R]
[R]0
2.303
k=
log
t
[R]

1
1

b) Energy of activation decreases


V.
31

a) i) Surface area of adsorbent


ii) Nature of adsorbent or adsorbate
or any suitable factor
b) Heterogeneous Catalysis
c) Greater the valency of the flocculating ion added, greater is its power to
cause precipitation
Al2(SO4)3

32
or Biphenyl
Fittig reaction

2
1
1
1
1
1
1

b) In dehydrohalogenation reaction the preferred product is that alkene which


has the greater number of alkyl groups attached to the doubly bonded carbon
atom
CH3CHCHCH3 + KOH(alc)
CH3CH=CHCH3 + KBr + H2O
H

33.

1
1

Br

c) SN2
a) Step: 1 : Formation of protanated alcohol
Equation
Step 2: Formation of Carbocation
Equation
Step 3: Elimination of proton and formation of alkene
Equation
b) The organic compound is phenol
OH
OH
Br
Br

+ 3 Br2

1
1
1
1
1

+ 3 HBr
Br
2,4,6 - tribromophenol

34

a) Statement

2 H - CHO
CH 3OH + H - COONa
NaOH

OR
2C6 H 5CHO + KOH
C 6 H5CH 2 OH + C6 H5 COOK

35.

b) Acetone
c) Explanation
R-COOH + PCl5 R-COCl + POCl3 + HCl
a) Correct Explanation

R - NH 2 + CHCl3 + 3KOH
R - NC + 3KCl +3H 2 O
Heat

b) Due to intermolecular association OR more hydrogen bonding


CuCl /HCl
c) ArN 2 X
ArCl + N 2

36.

Explanation
a) Vitamin A
b) Thyroxin
c) The amino acid forms dipolar ion called Zwitter ion in the aqueous solution.
R - CH - COOH
NH2

Covalent form

37.

R - CH - COO

1
1
1
1
1

1
1
1
1
1
1
1
1
1

+ NH3
Zwitter ion

d) Basic unit of nucleic acid containing one sugar unit ,heterocyclic base and
phosphoric acid is called nucleotide
a) The polymers that have elasticity, like rubber in which polymer chains are
held together by the weakest intermolecular forces are referred to as
elastomers.
Example: natural rubber, neoprene, vulcanized rubber.
b) Nylon:

1
1

Bakelite :

c) Rubber when heated with sulphur with an appropriate additive to a


temperature of 373K to 415K

1
1

MODEL QUESTION PAPER 2 PUC II

Model Question Paper-2

PUC-II

CHEMISTRY
Time: 3 hr-15 min.

Batch-02

Max Marks: 70

Instructions:
i)
ii)

The question paper has four parts, A, B, C and D. All parts are compulsory
Part-A Carries 10 marks
Part-B Carries 10 marks
Part-C Carries 15 marks
Part-D Carries 35 marks
iii) Write balanced equations and draw diagrams wherever required
(Use log tables and the simple commercial calculator if necessary (use of scientific calculator is not allowed)
Part-A
I. Answer all questions,
1.
2.

10 X 1=10

3.

Define the term molality.


How does the enthalpy change during the formation of a non-ideal solution two liquids showing positive
deviation from Raoults law?
What is a primary electrochemical cell?

4.

1130K /Mo
N 2(g) + 3H 2(g) what is the order?
For the reaction 2NH 3(g)

5.
6.
7.
8.
9.
10.

What do you mean by selectivity of a catalyst?


Give the chemical composition of Copper matte.
Name the noble gas that is radioactive?
Write the general equation of the preparation of alkyl chlorides from alcohols using SOCl2.
What are acetals?
Name the water insoluble component of the starch?

Part-B
II. Answer any five of the following each questions carries two marks
11.
12.
13.
14.
15.

5 X 2=10

An element having atomic mass 60 amu. has FCC unit cell. The edge length of the unit cell is 4x 102 pm.
Find the density of the unit cell.
Write two applications of Kohlrausch law.
The half-life period of a certain reaction is directly proportional to initial concentration of the reactant.
predict the order of the reaction and write the expression to calculate the half-life period of the reaction.
Give two consequences of lanthanoids contraction.
Complete the following reaction;
0

Cu/300 C
CH3CH 2 OH
?

i)
ii)
16.
17.
18.

R - COOH
RCH 2 OH . Name the reagent used in the conversion?
How does ketone react with ethylene glycol. Write chemical equation for the reaction.
What are analgesics? Give an example for non-narcotic analgesics.
What are artificial sweeteners? Give an example.

Part-B
III. Answer any five of the following each questions carries three marks

5 X 3=15

19.
20.
21.

On the basis of Ellinghams diagram explain the principle of extraction of iron from its oxide ore.
Explain the principles involved in the manufacture of ammonia by Habers process.
Complete the following equations;

a) 5SO 2 + MnO 4 - + 2H 2 O
5 SO 4 2- + 4H + + ?
b) 5SO 3 + Conc.H 2SO 4
?

1+1+1

c) 2KClO 3
?
MnO2

22.
23.
24.
25.
26.

a) Explain the action of Conc. HCl on KMnO4 crystals


2
b) Write the structure of perchloric acid.
1
a) Transition metals show variable oxidation states. Explain
2
b) Which metal of 3d-series exhibit maximum number of oxidation state?
1
How is K2Cr2O7 manufactured from chromite ore.
3
Using valence bond theory (VBT), account for the geometry, type of hybridization and magnetic property
of [NiCl4]23
Define linkage isomerism of co-ordination compounds. Give an example
3

Part-D
IV. Answer any three of the following, each question carries five marks
27.

28.

5 X 3=15

a) Calculate the packing efficiency in BCC lattice


b) Calculate the number of particles per unit cell in FCC

3
2

a) Acetone boils at 56.38oC and a solution of 1.41g of an organic compound in 20 g of acetone boils at
56.88oC. Calculate the molar mass of the organic compound (Given Kb for acetone =1.67 K kg/mol).
3
b) what is reverse Osmosis, mention one important application of it.
2

a) Standard EMF of the cell;


Cu Cu2+(1M)
Ag+(1M) Ag is 0.46 V at 25 oC. Find the value of
standard free energy change for the reaction that occurs in the cell.
3
b) Draw the neat labeled diagram of SHE and write its symbolic representation.
2
30. a) Derive the integrated rate equation for a zero order reaction
3
b) Give any two differences between order and molecularity of reaction
2
29.

31.

a) Write any two differences between lyophilic sols and lyophobic sols
b) What are the differences between physisorption and chemisorption
c) Give an example for homogeneous catalysis

V. Answer any four of the following, each question carries five marks
32.

2
2
1

4 X 5=20

a) i) Name the organic product formed when chloroalkane is heated with concentrated solution of
sodium iodide (NaI) in acetone?
ii) Write the chemical equation for the above reaction
iii) Name the above reaction

(1+1+1)

b) Explain Fittigs reaction with an equation


33.

a) Organic compounds A, B and C are aliphatic saturated hydroxyl compounds when they react with
Lucas reagent (anhyd.ZnCl2 + conc. HCl ), the following observations are made
i) Compound A gave turbidity immediately
(1+1+1)
ii) Compound B gave turbidity after five minutes
iii) Compound C gave turbidity only on heating, Identify the type of compounds A, B and C.

H
b) Complete the equation: C 6 H5 COOH + HOC6 H 5
?

c) Name the main organic product formed when anisole is reacted with HI
34. a) Which of the following organic compound undergoes Cannizzaros reaction?
i) CH3CHO ii) HCHO
b) Write the mechanism of addition of HCN to a carbonyl compounds

1
1
1
2

c) Explain the conversion of carboxylic acid into an acid amide. Give the general chemical equation
2
35.

a) Explain Mendius reduction with an equation.


2
b)When aniline is treated with HNO2 at 273-278 K, benzene diazonium chloride is formed. Write the
equation and name the reaction.
2
c) What is Hinsbergs reagent?

36.

a) Write the Haworths structure of sucrose


b) What are non-essential amino acids?

2
1

c) Name the heterocyclic N-containing base present only in DNA but not in RNA.

d) Vitamin-C cannot be stored in the body. Give reason.


37.

a) Which among the following is a homopolymer and a co-polymer,


i) Nylon-6,6 ii) PVC

b) How is Buna-N prepared ?. Write the equation

c) Give one example for a non-biodegradable polymer

1.
2.
3.
4.
5.
6.
7.

9.
10.

II -PUC Chemistry ( 34)


Scheme of Valuation for model question paper -2
Batch-02
PART-A
No. of moles solute present in 1 kg of solvent
H= +Ve or Enthalpy increases or heat is absorbed
A primary cell is one that cannot be recharged
Zero
It is the ability of catalyst to direct a reaction to yield a particular product
Cu2S + traces of FeS or Cuprous sulphide + traces of ferrous sulphide
Radon

Acetals are gem-alkoxy alkanes in which two alkoxy groups are present
on the terminal carbon atom
Amylopectin

1
1
1
1
1
1
1

1
1
1

PART-B
II.
1

12.

13.

i)The degree of dissociation and dissociation constant of weak electrolyte


(AB) Type can be calculated
ii) Using this law, omfor both weak and strong electrolytes can be calculated
a) Zero order

1
1
1
1

1
14.

15.

Due to lanthanide contraction


i) Similarity in atomic sizes of elements of second and third transition series
ii) The separation of lanthanides in pure state become difficult

1
1

i)

16.

ii) LiAlH4 in the presence of THF


Ketal is formed,

17.

Analgesics are the chemical substances which relieve body pains

1
1

1
1

Ex. Aspirin or paracetamol


These are low calorie substances used as sweetening agents to replace sugar
Ex. Saccharin/ Aspartame/ Alitame/ Sucralose
PART-C

18.
III.
19.

1
1
1
1

a) At 1073 K, GoVsT line for


Intersects the
1
o
o
Line. Above 1073K, G of
becomes less than G of
and hence carbon itself is oxidized to CO. Therefore, carbon becomes very good
reducing agent for the reduction of FeO to Fe at the temperature range of
900K-1500K.

b) At temperature, below 800 K, Go for

is less than

, therefore, CO is a better reducing agent for the reduction of Fe2O3 to FeO

20.

i)
ii) According to Le-Chaterliers principle, the forward reaction is favored by
low temperature and high pressure
iii) Optimum conditions in the process are 700 K atm. And Fe catalyst containing
K2O and Al2O3 promoter

1
1
1

21.

22.

a) When KMnO4 is treated with conc. HCl. Chlorine is liberated


1

23.

24.

b)
a)i) ns and (n-1)d subshells have almost same energy
ii) Both ) ns and (n-1)d electrons involve in bonding
b) Mn or Manganese
i) Chromite ore in to sodium chromate

1
1
1
1

ii)Sodium chromate in to sodium dichromate


1
iii) sodium dichromate in to potassium dichromate
1
i) Ni2+ ; [Ar] 3d8 4so

25.

3d8

4s
ii) On approach of Cl ligands;

4p

SP3 hybridization

2-

iii) [NiCl4] formation;

SP3 hybrid orbitals


filled by electrons donated by ligands
3
Geometry; Due to SP hybridization, the complex has tetrahedral structure
1
Magnetic propery; The complex is paramagnetic due to the presence of two
1
unpaired electrons
26. Linkage isomerism is one in which two co-ordination compounds have the same
2
molecular composition but differ in the mode of attachment of ligands to the central
metal atom/ion.
Ex: [Co (NH3)5 (NO2)] Cl2 and [Co (NH3)5 (ONO)] Cl2
1
PART-D
27. a) Edge length a=4r/3 r = radius of sphere
1
Packing efficiency = (volume of the sphere x 2 volume of unit cell) x 100
1
= (4/3 r3 x 2 x 100) a3
= (4/3 r3 x 2 x 100) 4r/3
1
= 68%
b) No. of particles per unit cell of FCC

1
1
(No. of corner particles) +
(No. of facial particles)
8
2
1
1
=
x8+
x6 =1+3=4
8
2
=

28. a) Tb= Kb x molality


Tb= Kb x (m solute/ M solute) x 1000 / m solvent
(56.88-56.38) = 1.67 x (1.41/ M solute) x 1000/20
M solute = 235.47
b) It is the process of movement of solvent molecules from higher concentration to
lower concentration by applying pressure greater than osmotic pressure
Application; It is used in desalination of sea water
29. a) Go = -nFEo cell n = 2
= -2 x 96500 x 0.46
= -108080 joules or -108.08 kjoules
b) For diagram
SHE: Pt, H2 (1 bar) / H+ (1M)
30. a) Consider a zero order reaction
RP

1
1

1
1
1
1
1

F = 96500 C, Eo = 0.46 V
2
1

Rate = K [R]0
Rate = K x 1 where K- rate constant or velocity constant
Rate = -d[R]/dt
-d[R]/dt = K => d[R] = - K dt
d [R] = - K dt
[R] = - Kt + I.(1)
I- integration constant
To find I, when t=0, [R] = [R0]
[R0] = -K x 0 + I
I = [ R0]
Substituting in eq (1)
[R] =- Kt + [R0]
K= [R0] [R]/ t
b)Molecularity
Order of a reaction
2
i)It isalways related to reaction
i) It may or may not related to reaction
stoichiometry
stoichiometry
ii) It isalways whole number
ii) It can be whole number or fraction or even zero
31. a) Lyophilic sols
Lyophobic sols
i) Dispersed phase has greater
i) Dispersed phase has no
affinity for dispersion medium
affinity for dispersion medium
ii) Reversible
ii) irreversible
or any other differences
b) Physisorption
Chemisorption
i) Adsorbate and adsorbent
i) Adsorbate and adsorbent
are held together by weak van der
are held together by strong chemical
waals forces
bonds
ii) Reversible
ii) irreversible
or any two suitable differences
c)

or any other suitable examples


32.a) i) Iodoalkane is formed

ii)

1
1

Finkelstein reaction
b) When haloarene is heated with sodium metal in dry ether medium, higher
aromatic hydrocarbons is formed
C6H5-X + 2Na + C6H5-X
C6H5-C6H5 + 2NaX
Dry ether
33. a) i) A = Tertiary alcohol
B = Secondary alcohol
C = Primary alcohol

1
1

1+1+1

Phenyl benzoate
c) Phenol
34. a) HCHO

1
1

b)

HCN + OH -

CN- + H2O

OC

CN-

H+

OH

C
CN

CN

1
c)

R-COOH

Heat

NH3

R-CONH2

R-COONH4
-H2O

Explanation:

When carboxylic acid is heated with ammonia it gives acid amide.


1
35. a) Reduction of nitriles by sodium in alcohol to get a primary amine is called
Mendius reduction.
1

R-CN + 4 (H)

Na/alcohol

R-CH2 -NH2

b)
273-278K
C6 H5 -NH2 + NaNO2 + 2 HCl

C6H5-N2Cl + NaCl + H2O

Diazotization
c) Benzene sulphonyl chloride or C6H5SO2Cl
36.a)

1
2

b) Amino acids which can be synthesized by human body are called non-essential
amino acids
c) Thymine
d)
Excess of vitamin-C is excreted through urine
37. i) Nylon-6,6 Copolymer
ii)
PVC Homopolymer
b) When 1, 3-butadiene is heated with acrylonitrile in presence of sodium, Buna-N
is formed.
H2C

CH

C
H

CH2

H2C

CH
CN

1
1

Na
Heat

H2C

C
H

CH

1
1
1
1
1
1
CH2 CH2 CH
CN

1
c) PVC or any suitable example

MODEL QUESTION PAPER 3 PUC II

Model paper 3
II PUC CHEMISTRY (34)
Time: 3hours 15 minutes

Maximum marks: 70

Instructions:
1. The question paper has four parts: A, B, C and D. All parts are compulsory.
2. Write balanced chemical equations and draw labeled diagrams wherever required.
3. Use log tables and the simple calculator if necessary.
(Use of scientific calculators is not allowed)
PART-A
I. Answer ALL of the following. (Each question carries 1 mark)
(Answer each question in one word or in one sentence)

10x1=10

1. What is the effect of increase in temperature on the solubility of gas in a liquid?


2. Define osmotic pressure .
3. Mention the concentration of H+ ions in the solution used in SHE .
4. From the following plot, predict the order of the reaction.
ln[R]0
k = - slope
ln[R]
0
5. 2SO2(g)+O2(g)

t
NO2SO
(g) (g). Is this reaction an example for Homogenous or
3

Heterogeneous catalysis.
6. Name the depressant used in separation of ZnS from PbS by froth floatation process.
7. Which noble gas does not occur in nature?
8. R-X + NaI

Dry Acetone
R-I + NaX. This reaction is known as

9. Give reason: Acetic acid is soluble in water.


10. Among the following which is a fat soluble vitamin
Vitamin-B12, Vitamin-C, Vitamin-D.
PART-B
II.Answer any FIVE of the following. (Each question carries 2 marks)
11. Give two differences between p-type & n-type semiconductors.
12. What is limiting molar conductivity? Represent graphically the variation in molar
conductivity with concentration for acetic acid.

5x2=10

13. Rate constant of a first order reaction is 6.93X10-3 min-1. Calculate the half-life period.
14. i) What is actinide contraction?
ii) Which is the common oxidation state exhibited by actinides?
15. How do you prepare diethyl ether by dehydration of ethanol?
16. How do you convert benzamide to benzoic acid?
17. Give one example each for i) Tranquilizer ii) Antiseptic.
18. What is saponification with an example.
PART-C
III. Answer any FIVE of the following. (Each question carries 3 marks)

5x3=15

19. How copper is refined by electrolytic method.


20. i) Write the structure & mention basicity of hypo phosphorous acid.
ii) Which gas is liberated when zinc reacts with dil HNO3?
21. Draw the flow chart for the manufacture of sulphuric acid by Contact process.
Name the catalyst used in the process
22. i)Give any two reasons for the anomalous behaviour of fluorine
ii)Give one example of interhalogen compounds
23. What are interstitial compounds?
Write any two characteristics of interstitial compounds
24. i) Write the two chemical equations to show the inter conversion of chromates &
dichromates in aqueous solution
ii)Complete the equation : 5C2O42- + 2MnO4- + 16H+
25. With the help of valence bond theory account for the geometry &
magnetic property of [Co(NH3)6]3+
26. i)What is an ambidentate ligand?
Name the type of structural isomerism that arises in the co-ordination compound
containing such a ligand
ii) Give the IUPAC name of K2[Zn(OH)4]

3
2
1
3
2
1
1
2
2
1
3
1
1
1

PART-D
IV. Answer any FIVE of the following. (Each question carries 3 marks)

3x5=15

27. a) Calculate the packing efficiency in a CCP crystal lattice


b) What is the number of particles per unit cell of a simple cube.
28. a) Calculate the osmatic pressure of 0.05% urea solution in water at 200c.
Given R =0.0821Latm mol-1K-1. Molar mass of urea = 60g mol-1
b) Give two general characteristics of an ideal solution of two liquids
29.a)Calculate the emf of the cell in which the following reaction takes place
Ni(S)+2Ag+(0.002M) Ni2+(0.160M) + 2Ag(S), Given that E0Cell = 1.05V
b) A galvanic cell after use is recharged by passing current through it.
What type of cell is it? Give an example

30.a) Rate constant of a reaction at 300K & 400K are 0.034S-1& 0.136S-1 respectively.
Calculate the activation energy for the reaction [ Given: R = 8.314JK-1mol-1]

4
1
3
2
3
2

b) Derive the expression for half-life of zero order reaction


31. a) Mention two applications of adsorption
b) What are emulsions? Give an example for O/W emulsion
c) What is the cause for Brownian movement?
V. Answer any FIVE of the following. (Each question carries 3 marks)

2
2
2
1
4x5=20

32. a) Explain SN2 mechanism with an example


b) Name the product formed when chloromethane reacts with (i)aqueous KOH &
(ii)alcoholicAgCN
c) Give an example of polyhalogen compound
33. a) Explain esterification reaction between acetic acid & ethyl alcohol as example
b) Boiling point of alcohol is greater than the boiling point of hydrocarbons of
comparable molar masses, Why?
c) What is the effect of NO2 group on the acidic strength of phenol? Give reason
34. a) Explain Etard reaction
b) Name the products A & B in the following reaction
2CH3CHO

dilNaOH

H2O

2
2
1
2
1
2
2
2

c) Name the reagent used in the decarboxyaltion of carboxylic acid


35. a) How do you convert benzene diazonium chloride into chlorobenzene.
Name the reaction
b)Explain Hoffmann Bromamide reaction with an example
36. a) Write the Haworth structure of maltose
b) What are hormones? Give one biological function of insulin
c) What are nucleosides?
37. a) Name the monomers of Nylon-6,6
b) How is Neoprene prepared? Give equation
c) Give an example for thermoplastic polymer.

1
3
2
2
2
1
2
2
1

Scheme of valuation for model question paper 3 (ZIET)


Note : Any other correct alternative answers can be honored wherever applicable
Q.No
I
1
2
3
4
5
6
7
8
9
10

Value points
PART-A
Decreases
External pressure to be applied on the solution side just to stop the flow solvent from its
side to solution side across SPM
1M or 1 Molar
First order
Homogenous
Sodium cyanide or NaCN
Radon or Rn
Finkelstein reaction
Due to the formation of hydrogen bond (H-bond) b/w acetic acid molecules & water
Vitamin-D

II
11

12

Marks
1
1
1
1
1
1
1
1
1
1

PART-B
p-type
1. Doped with trivalent atoms(B,Al)
2. Negative charges (electrons) contributes
to conduction

n-type
1. Doped with pentavalent atoms(P,As,Sb)
2. Holes contributes to conduction

Molar conductivity at infinite dilution

m
1

13
t1/2 =
t1/2 =

1
.

t1/2 = 100 min


14

(i)The steady decrease in atomic size of the actinides with increase in the atomic number
(ii)+3

1
1

15

When ethanol is heated with Con H2SO4 at 414K, diethyl ether is formed
1

H2SO4
CH3CH2OCH2CH3
413K

CH3CH2OH

1
OR

OR

Self explanatory equation


16

When benzamide is heated with dil acid hydrolysis takes place to form benzoic acid
1

CONH2

COOH

H3O+

OR
OR
Self explanatory equation
2
17

18

(i) Noradrenaline OR Equanil OR Chlordiazepoxide OR Meprobamate OR Any other suitable


example
(ii) Dettol OR Chloroxylenol OR Tincture of iodine OR Terpineol OR Furacine OR Soframicine
OR Any other suitable example
When fat is heated with aqueous NaOH solution, soap is formed

O
ll
CH2 O C C17H35
O
ll
CH O C C17H+353NaOH

3C17H35COONa + CH OH

Self explanatory equation

PART-C
Impure copper is made as anode & thin sheet of pure copper is made as cathode. Acidified
copper sulphate solution is taken as electrolyte
On passing electric current, pure copper deposits on the cathode
At anode : Cu Cu2+ + 2e
At cathode : Cu2+ + 2e Cu
(i)

CH2 OH
OR

20

1
1

CH2 OH

O
ll
CH2 O C C17H35

III
19

OR
2

1
1
1

O
ll
P
OH
H

Basicity = 1
1
(ii) Nitrous oxide OR N2O
1
21

Air

Oleum

22

23

24

25

Sulphur

Dust

Washing &

Burner

Precipitator

Cooling Tower

Absorption

Catalytic
Converter

Pre

Tower

Drying
Tower

Arsenic
purifier

Heater

(ii) Vanadium pentoxide


(i) Smallest size, Highest electronegativity, Non availability of d-orbitals, High ionization
enthalpy, low F-F bond dissociation enthalpy (any two)

(ii) ClF3, ICl, BrF5 OR any other suitable example

The compounds formed by the trapping of small atoms like H, C, N etc into the crystal lattice
of metals
Characteristics
1. High m.p. than the pure metal
2. Very hard
3. Chemically inert
4. Retain metallic conductivity
(any two)

2CrO42- + 2H+ Cr2O72- + H2O


Cr2O72- + 2OH- 2CrO42- + H2O

1
1

2Mn2+ + 8H2O + 10CO2

E C of Co3+ = 3d6 or

3d

4s

4p

d2sp3 hybridized orbitals


of Co3+
[Co(NH3)6]3+
Geometry : Octahedral
Magnetic property : Diamagnetic

3d

6 pairs of electrons
from 6 NH3

1
1

26

IV
27

(i) Ligands which can ligate through two different atoms OR Uni dentate ligands have more
than one donar atom OR Any other correct stateemnt
Linkage isomerism

(ii)Potassium tetrahydroxidozincate(II)

PART-D
a)
Let a is the edge length of the cube,

a =2 2ar

Each unit cell in hcp has effectively 4 spheres. Total volume of four sphere is equal to 4 X

(4/3) r3 and volume of the cube is a3 or (22ar)3

Packing efficiency =

Packing efficiency =

= 74%

b)1 or One
28

a)
1

= 0.2atm
b)
1.Obeys Raoults law
2. H of mixing is zero
3. V of mixing is zero
4. Does not forms azeotropic mixtures
5. (A-B) interactions are same as that of (A-A) or (B-B) interactions

1
1

6. Measured VP = VP predicted by Raoults law


(Any two)

29

a)
=

log

1
.

= 1.05 -

log

( .

= 0.914V
b) Secondary cell
Example : Lead-storage battery or Nicad storage cell or any other example
(Any one)
30

a) log
.

or Ea =

log

1
1

.
.

Ea =

= 13834Jmol-1 or 13.8KJmol-1

b) W K T rate constant (k) expression for zero order reaction

k=

or t =

When t = t1/2, [R] =

t1/2 =

31

a) In gas mask or Control of humidity or Removal of colouring matter from solutions or


Production of high vaccum or In heterogeneous catalysis or Separation of inert gases or In
curing diseases or In froth floatation process or Adsorption indicators or In chromatographic
analysis
( any two)

b) Liquid-Liquid colloidal system OR dispersion of finely divided droplets in another liquid OR

Any other suitable definition


Example : Milk, vanishing cream or any other suitable example
c) Due to the collision of the dispersed phase particles with molecules of the dispersion
medium.

V
32

1
1

PART-D
a)

H
l
H C Cl
l
H

OH +

H
HO

C
H

Cl

H
l
HO C H + Cl
l
H

b) (i) Methanol or Methyl alcohol


(ii) Methyl carbylamine or N-Methyl carbylamine or Methyl isocyanide or
Isocyanomethane or Methyl isonitrile

1
1

c) CH2Cl2 or CHCl3 or CCl4 or Freons or DDT or any other suitable example


33

a) When acetic acid is heated with ethyl alcohol in the presence of Con H2SO4 as dehydrating
agent, ethyl acetate is formed.
CH3COOH + C2H5OH

Con HCH
2SO
4
3COOC2H5 + H2O
OR

34

1
1

1
OR

Self explanatory equation

b) H-bonding

c) Increases
Since NO2 is electron withdrawing group OR Due to I effect

1
1

a) When toluene treated with CrO2Cl2& CS2, followed by hydrolysis benzaldehyde is formed.

CH3

H
l
C=O

1.CrO2Cl2/CS2

2. H2O
OR

OR

35

Self explanatory equation

b) A = Aldol or 3-hydroxybutanal
B = Chrotanaldehyde or But-2-enal

1
1

c) Sodalime

a) When benzene diazonium chloride reacts with Cuprous chloride in HCl, chlorobenzene is
formed

+
N2Cl

Cu2Cl2/HCl

Cl
+ N2

OR

OR

Self explanatory equation

1
Name of the reaction : Sandmeyers reaction
1

OR
a) When benzene diazonium chloride reacts with Copper in the presence of HCl,
chlorobenzene is formed

+
N2Cl

Cl
Cu/HCl

+ N2 + HCl
OR
OR

Self explanatory equation


1
Name of the reaction : Gatterman reaction
1
b) When amide reacts with bromine in the presence of aqueous/alcoholic NaOH, primary
amine is formed.

R-CONH2 + Br2 + 4NaOH R-NH2 + Na2CO3 + 2NaBr + 2H2O


OR
OR

Self explanatory equation


OR

36

By taking R = CH3 OR C6H5 as example


a)

CH2OH
H

H
OH

CH2OH
O

H
O

OH
H

OH

H
OH
H

H
OH
OH

b) Biochemical messengers or Chemical substances secreted by endocrine (ductless) glands


1
Regulates the blood sugar level
1

37

c) Pentose sugar + Nitrogen base

a) Hexamethylenediamine

1
1

Adipic acid

1
b) Neoprene is formed by the free radical polymerization of chloroprene
1

Cl
l
n CH2 = C CH = CH2

Cl
l
CH2 C = CH CH2

c) Polyethylene or PVC or Polystyrene or Polyvinyls or any other suitable example


(any one)

II-PUC CHEMISTRY
BLUE PRINT FOR MODEL QUESTION PAPER - 4

Group

Group-I
Physical

Group-II
Inorganic

Unit

Title

Marks

Part-A

Part B

Part C

II

III

10x1 mark

8x2 mark

8x3 mark

Part D

Total

IV & V
11x5 mark

The Solid state

Solution

1,2

Electrochemistry

Chemical kinetics

Surface chemistry

Total of Group-I

41

36

19

11

10

20,21,22

10

23,24

25,26

General principles and processes of isolation of


elements

The p-block elements

The d and f-block elements

Coordination compounds

32

28

Total of Group-II
Group-III
Organic

Hours

10

Haloalkanes and haloarenes

11

Alcohols, phenols and ethers

27

28

12

29

13

30

31

11

36

14

28
8
15

32

33

12

Aldehydes, ketones and carboxylic acids

13

Amines

14

Biomolecules

15

Polymers

16

Chemistry in everyday life

47

41

120

105

Total of Group-III
TOTAL

16

10

34

35

36

37

5
4

17,18

41
10

10

15

35

105

CHEMISTRY ( 34) NEW SCHEME


MODEL QUESTION PAPER NO.4
TIME 3HOURS 15 MINUTES

MAX.MARKS.70

Instructions :
i. The question paper has four parts. All the four parts are compulsory
ii. PART A carries 10 marks , each question carries one marks.
PART-B carries 10 marks . each question carries two marks
PARRT C carries 15 marks . each question carries three marks
PART-D carries 35 marks . each question carries five marks
iii) write balanced chemical equations and draw diagrams wherever necessary
iv) use log table and simple calculators if necessary
(use of scientific calculator is not allowed)
PART-A
I ANSWER ALL THE QUESTIONS. EACH QUESTION CARRIES ONE MARK 1X10=10
1.
2.
3.
4.

5.
6.
7.
8.
9.
10.

11.
12.
13.
14.

Define VantHaffs factor.


What are isotonic solutions ?
Mention the S.I unit for molar conductivity.
For the reaction A+B products .the rate becomes doubled when concentra on of only A is
increased by two times, the rate is increased by four times, when the concentration of B alone
is doubled what is the order of the reaction?
Name the enzyme used in the inversion of cane sugar
Name the method used for refining of Zirconium.
Complete the reaction XeF4+O2F2 A+O2
Identify A
What is a Recemic mixture-?
Name the product obtained when acetaldehyde reacts with Hydroxyl amine.
Name the nitrogenous base present in RNA only.
PART-B
II ANSWER ANY FIVE OF THE FOLLOWING EACH QUESTION CARRIES TWO MARKS.
5X2=10
MARKS
Silver forms CCP lattice and x-ray studies of its crystals show that the edge length of its unit
cell is 408.6 pm . calculate the density of silver ( Atomic mass of Ag= 107.9u)
What is corrosion? Mention a general method to prevent it.
Write the Arrhenius equation and mention what each term stands for.
Any two differences between lanthanides and Actinides.

15. How does Acetyl chloride react with Anisol in presence of anhydrous aluminum chloride
catalyst. Write the chemical equation of the reaction.
16. What are the effects of the electron withdrawing and electron donating groups on acidity of
carboxylic acids
17. What are antacids? Give an example.
18. What are food preservatives ? Give one example

PART C
III ANSWER ANY FIVE OF THE FOLLOWING EACH QUESTION CARRIES THREE MARKS
15

5X3=

19. How is pure alumina obtained from Bauxite by leaching process?


20. Write the reactions that takes place during the manufacture of nitric acid by Ostwalds process.
21. i) what happens when potassium chlorate is heated in presence of MnO2. write the equation for
the reaction also
ii) draw the structure of sulphuric acid.
22. i) How is chlorine prepared by using MnO2 ?
ii) complete the reaction
NH3+Cl2(excess)
23. d-block elements form co-ordination compounds . Give reasons.
24. How is potassium dichromate prepared from the chromite ore?
25. Mention the geometry, magnetic property and type of hybridization in [Ni(cn)4]2- complex.
26. Write any three postulates of Werners theory of complexes.
PART-D
IV ANSWER ANY THREE OF THE FOLLOWING . EACH QUESTION CARRIES FIVE MARKS
3X5= 15
27. a. calculate the packing efficiency in body centered cubic crystals
b. calculate the number of particles per unit cells in f.c.c.
28. a. the boiling point of benzene is 353.23K .when 1.80 g of a non volatile , non

(3)
(2)

electrolytic solute was dissolved in 90 g of benzene , the boiling point was


raised to 354.11 K calculate the molar mass of the solute [ Kb for benzene =2.53K.kg mol-1]
(3)
b. write two differences between ideal and non ideal solutions of two liquids
(2)
29. a). calculate the standard free energy change for the following reaction occurring in the galvanic
cell at 298K
3Mg(s) + 2Al3+ (aq) 3Mg2+(aq) +2 Al (s)

Given EMg2+/Mg = - 2.37 V and EAl3+/Al=-1.66V

(4)

b. what is primary battery?


30. a. Derive the integrated rate equation for the rate constant of a first order reaction (4)
b. what is pseudo first order reaction ?

(1)

31. a. complete and balance the following reactions


SO2 +

H2 S oxidation

FeCl3 + H2O hydrolysis

(2)

b. Mention two characteristics of enzyme catalysis

(2)

c. What is the sign of S for the adsorption of gas on solids ?

V ANSWER ANY FOUR OF THE FOLLOWING . EACH QUESTION CARRIES FIVE MARKS
4X5=20
32. a. Explain SN1 mechanism by taking tertiary butyl bromide as an example
b. What is Wurtz Fittings reaction ? Give an example

(3)
(2)

33. a. How is phenol manufactured by cumene process. Give the chemical equations of the reaction
involved .
(3)
b. How do you prepare ethanol by using the Grignard Reagent?
34. a. How is Benzol chloride converted into benzaldehyde ? Name the reaction

(2)
(3)

b. Write the chemical equation for the reaction between dilute NaOH and acetalhyde, mention the
name of the product formed .
(2)
35. a. Explain how is Hinbergs reagent is used to distinguish the primary, secondary and tertiary
amines
b. Write the chemical reactions involved in the conversion of aniline into phenol
36. a. What are carbohydrates ?and how are they classified ?

(2)
(3)

b. What is a peptide bond ? How many peptide bonds are present


in a tetra peptide ?

(2)

37. a. i) what are condensation polymers ? Give an example.


ii)Give the IUPAC name of the monomer of natural rubber.
b. What are Biodegradable polymers ? Give an example

(3)
(2)

Scheme of Valuation
Q.N
O

VALUE POINT

MARK
S

Two solutions having same osmotic pressure at a given temperature

Sm2 mol-1 or Scm2 mol-1

Two

Invertase

Van Arkel method

A=XeF6 or Xenonhexaflouride

A mixture containing two enantiomers in equal proportions will have zero optical
rotation.

Acetaldoxime

10

Uracil

1
PART -B

11

Formula d=zM
-------a3 NA substitution with correct answer(10.5 x 103 kgm-3)
OR

10.5 g cm-3
1
12

A metal is oxidized by loss of es and formation of oxides


Any one method of prevention of corrosion ( coating, painting, tinning, cathodic

13

protection)

Arrhenins Equation k=A.e-Ea/RT OR log ek=logeA Ea


---RT
Where k= rate constant, A=Arrhenius constant Ea= Activation energy, T= temperature,
R= gas constant (any one)

1
14

Lanthanides
1.Binding energies of 4f es are higher

Actinides
1. Binding energies of 5f es are

Lower
2. They do not form complexes easily

2. They have tendency to form

complexes
ANY ONE SUITABLE ANSWER
15

16

17

18

Electron with drawing group increases acidic strength

Electron donating group decreases acidic strength

Chemical substances which are used in the treatment of acidity

Ranitidine( (Zantac) OR ANY OTHER EXAMPLE

Chemical substances which prevent spoilage of food due to microbial growth

Ex: Table salt, sugar, vegetable oils, OR any other suitable example

PART-C
19

Al2O3 + 2 NaOH + 3H2O 2Na [ Al (OH)4]


2Na[Al(OH)4 + CO2 Al2O3. x H2O + 2NaHCO3
Al2O3. x H2O 1470k

Al2O3. +x H2O.

Each equation carries one mark

OR COMPLETE EXPLANATION IN THREE STEPS


3

20

4NH3+ 5O2 Pt/Rh

4NO + 6H2O

500k,9bar

2NO + O2

2NO2

3NO2 +H2O 2HNO3 + NO

1
1

OR COMPLETE EXPLANATION IN THREE STEPS

21

(i)
Statement
2KClO3 Mno2 2KCl + 3O2

OR SELF EXPLANATION ON REACTION


1

22

(i)

Heating MnO2 with conc. HCl


MnO2 + 4 HCl MnCl2 + Cl2+ 2H2O
OR
Self explanation on reaction\

1
1

(ii)

NH3 + Cl2(excess) NCl3 + 3HCl


2
1

23

24

Small size of metal ions

High ionic charges

Availability of d- orbitals

4FeCr2O4 + 8Na2CO3 7O2

Na2CrO4 + 2Fe2O3 +8CO2

2Na2CrO4 +2H+ Na2CrO7 + 2Na++H2O

Na2CrO7 +2KClK2Cr2O7 +2NaCl

OR COMPLETE EXPLANATION IN THREE STEPS

25

26

Square planner complex

Diamagnetic

dsp2 Hybridisation

(i)
(ii)
(iii)

Coordination compounds metals show two types of valencies primary


and secondary
Primary valencies are ionisable
Secondary valencies are non-ionisable
OR ANY OTHER POSTULATES

1
1

PART -D
27

(a) Up to a = 4 /3 OR r=

Packaing efficiency= volume offupied by 2 spheres x 100 %


Total volume of unit cell
Substitution and correct answer (68%)
(b) Total no. of particles due to corners 1/8x8=1
Total no.of particles due to faces 6x = 3 &
Total no.of particles per unit cell 3+1 = 4

1
28

(a) Formula : M2 = 1000x W2 x Kb

Substitution:
M2 = 1000 x 1.8 x 2.53
0.88 x 90

M2 = 58 g mol-1
[ NO UNIT DEDUCT ONE MARK]
(c) Ideal solution
Hmix =0
Vmix =0

non ideal solution


Hmix O
Vmix O

OR ANY OTHER DIFFERENCES


29

(a) E cell = ER --- EL


= -- 1.66+ 2.37
= 0.71 V
G = -- nF E cell
= -- 6x96500x 0.71
= - 411090 J OR - 411.09kJ
(b) Battery can not be reused

1
1
30

(a) RP
Rate = - d[R] = k[R] OR
dt
d[R] = - kdt
[R]
Integrating euation
Ln[R] = -kt+I --------------------(1)
To calculate I :
T=o, R=[R]0

ln[R]o =-kxo+I
OR
ln[R]0=I
substitutionequation (1)
ln [R] = -kt + ln [R]0
Rearranging
Ln[R] = - kt
OR
[R]0
K= 1/t. ln [R]0
OR
[R]
K= 2.303 log10 [R]0
t
[R]
(b) Order of reaction is one and molecularity is two or more than two

1
1
1

31

(a) i. SO2 + 2H2S doubel decomposition

FeCl3 + 3H2O

Hydrolysis

AS2 S3 +3H2O

Fe(OH)3 + 3HCl.
1

(b) Characteristics are


(i)
Highly efficient
(ii)
Highly specific in nature
OR
ANY OTHER REVELENT CHARACTERISTIC (FOR EACH ONE MARK)
(c) S decreases OR S is negative

1
PART-V
32

1
(a)

Step-1

+ Br -

(CH3)3 CBr slow


Step-2

+OH - fast

(CH3)3 COH

Mentioning first order kinetics

(b) Alkylhalide reacts with anyl halide gives alkylarenes when treated with
sodium indry ether
1

OR self-explanation with equation


1

2
(a) Explanation

33

OR
Step wise reaction carries
(b) HCHO+ CH3 Mg Br CH3CH2OBr
Methanal
CH3CH2OMgBr + HOH CH3CH2OH+Mg(OH)Br
Ethanol
34

(a)

H2
Pd-BaSO4

Benzoyl
chloride
Rosenmund reduction

Benzaldehyde

(b) 2CH3CHO dil NaOH CH3-CH-CH2CHO


OH

Ethanal
3-Hydroxybutanal
(ALDOL)

CH3-CH=CH-CHO
But-2 enal

2
35

(a) Hinsbergd reagent reacts with 1 amine gives a product which is soluble in
alkali
(b) Hinsbergs reagent reacts with 2 amine gives a product which is insoluble
in alkali
Hinsbergs reagemt doesnot react with 3 amine
C6H5NH2 + NaNO2+2HCl 273-278 k C6H5N2+Cl- + NaCl + 2H2O
C6H5N2+Cl- + H2OC6H5OH + N2 + HCl

1
1
1
1
1

36

(a) Optically active polyhydroxy aldehydes or ketones or the compounds which 1


produce such units on hydrolysis
2
Classified as monosaccharides, oligo saccharides, polysaccharides
(b) Elimination of a water molecule from two molecules of similar or different
amino acids and formation of CONH- bond
3 peptide bond

1
37

(a) i. condensation reaction between two different bifunctional or trifunctional


monomeric units
Nylon6,6 or Any other example
ii. isoperene or 2-methyl-1,3-butadiene
(b) polymers cause acute environmental problems and remain undegraded for
long time
Nylon-2-nylon-6 or any other example

1
1
1

II-PUC CHEMISTRY
BLUE PRINT FOR MODEL QUESTION PAPER - 4

Group

Group-I
Physical

Group-II
Inorganic

Unit

Title

Marks

Part-A

Part B

Part C

II

III

10x1 mark

8x2 mark

8x3 mark

Part D

Total

IV & V
11x5 mark

The Solid state

Solution

1,2

Electrochemistry

Chemical kinetics

Surface chemistry

Total of Group-I

41

36

19

11

10

20,21,22

10

23,24

25,26

General principles and processes of isolation of


elements

The p-block elements

The d and f-block elements

Coordination compounds

32

28

Total of Group-II
Group-III
Organic

Hours

10

Haloalkanes and haloarenes

11

Alcohols, phenols and ethers

27

28

12

29

13

30

31

11

36

14

28
8
15

32

33

12

Aldehydes, ketones and carboxylic acids

13

Amines

14

Biomolecules

15

Polymers

16

Chemistry in everyday life

47

41

120

105

Total of Group-III
TOTAL

16

10

34

35

36

37

5
4

17,18

41
10

10

15

35

105

CHEMISTRY ( 34) NEW SCHEME


MODEL QUESTION PAPER NO.4
TIME 3HOURS 15 MINUTES

MAX.MARKS.70

Instructions :
i. The question paper has four parts. All the four parts are compulsory
ii. PART A carries 10 marks , each question carries one marks.
PART-B carries 10 marks . each question carries two marks
PARRT C carries 15 marks . each question carries three marks
PART-D carries 35 marks . each question carries five marks
iii) write balanced chemical equations and draw diagrams wherever necessary
iv) use log table and simple calculators if necessary
(use of scientific calculator is not allowed)
PART-A
I ANSWER ALL THE QUESTIONS. EACH QUESTION CARRIES ONE MARK 1X10=10
1.
2.
3.
4.

5.
6.
7.
8.
9.
10.

11.
12.
13.
14.

Define VantHaffs factor.


What are isotonic solutions ?
Mention the S.I unit for molar conductivity.
For the reaction A+B products .the rate becomes doubled when concentra on of only A is
increased by two times, the rate is increased by four times, when the concentration of B alone
is doubled what is the order of the reaction?
Name the enzyme used in the inversion of cane sugar
Name the method used for refining of Zirconium.
Complete the reaction XeF4+O2F2 A+O2
Identify A
What is a Recemic mixture-?
Name the product obtained when acetaldehyde reacts with Hydroxyl amine.
Name the nitrogenous base present in RNA only.
PART-B
II ANSWER ANY FIVE OF THE FOLLOWING EACH QUESTION CARRIES TWO MARKS.
5X2=10
MARKS
Silver forms CCP lattice and x-ray studies of its crystals show that the edge length of its unit
cell is 408.6 pm . calculate the density of silver ( Atomic mass of Ag= 107.9u)
What is corrosion? Mention a general method to prevent it.
Write the Arrhenius equation and mention what each term stands for.
Any two differences between lanthanides and Actinides.

15. How does Acetyl chloride react with Anisol in presence of anhydrous aluminum chloride
catalyst. Write the chemical equation of the reaction.
16. What are the effects of the electron withdrawing and electron donating groups on acidity of
carboxylic acids
17. What are antacids? Give an example.
18. What are food preservatives ? Give one example

PART C
III ANSWER ANY FIVE OF THE FOLLOWING EACH QUESTION CARRIES THREE MARKS
15

5X3=

19. How is pure alumina obtained from Bauxite by leaching process?


20. Write the reactions that takes place during the manufacture of nitric acid by Ostwalds process.
21. i) what happens when potassium chlorate is heated in presence of MnO2. write the equation for
the reaction also
ii) draw the structure of sulphuric acid.
22. i) How is chlorine prepared by using MnO2 ?
ii) complete the reaction
NH3+Cl2(excess)
23. d-block elements form co-ordination compounds . Give reasons.
24. How is potassium dichromate prepared from the chromite ore?
25. Mention the geometry, magnetic property and type of hybridization in [Ni(cn)4]2- complex.
26. Write any three postulates of Werners theory of complexes.
PART-D
IV ANSWER ANY THREE OF THE FOLLOWING . EACH QUESTION CARRIES FIVE MARKS
3X5= 15
27. a. calculate the packing efficiency in body centered cubic crystals
b. calculate the number of particles per unit cells in f.c.c.
28. a. the boiling point of benzene is 353.23K .when 1.80 g of a non volatile , non

(3)
(2)

electrolytic solute was dissolved in 90 g of benzene , the boiling point was


raised to 354.11 K calculate the molar mass of the solute [ Kb for benzene =2.53K.kg mol-1]
(3)
b. write two differences between ideal and non ideal solutions of two liquids
(2)
29. a). calculate the standard free energy change for the following reaction occurring in the galvanic
cell at 298K
3Mg(s) + 2Al3+ (aq) 3Mg2+(aq) +2 Al (s)

Given EMg2+/Mg = - 2.37 V and EAl3+/Al=-1.66V

(4)

b. what is primary battery?


30. a. Derive the integrated rate equation for the rate constant of a first order reaction (4)
b. what is pseudo first order reaction ?

(1)

31. a. complete and balance the following reactions


SO2 +

H2 S oxidation

FeCl3 + H2O hydrolysis

(2)

b. Mention two characteristics of enzyme catalysis

(2)

c. What is the sign of S for the adsorption of gas on solids ?

V ANSWER ANY FOUR OF THE FOLLOWING . EACH QUESTION CARRIES FIVE MARKS
4X5=20
32. a. Explain SN1 mechanism by taking tertiary butyl bromide as an example
b. What is Wurtz Fittings reaction ? Give an example

(3)
(2)

33. a. How is phenol manufactured by cumene process. Give the chemical equations of the reaction
involved .
(3)
b. How do you prepare ethanol by using the Grignard Reagent?
34. a. How is Benzol chloride converted into benzaldehyde ? Name the reaction

(2)
(3)

b. Write the chemical equation for the reaction between dilute NaOH and acetalhyde, mention the
name of the product formed .
(2)
35. a. Explain how is Hinbergs reagent is used to distinguish the primary, secondary and tertiary
amines
b. Write the chemical reactions involved in the conversion of aniline into phenol
36. a. What are carbohydrates ?and how are they classified ?

(2)
(3)

b. What is a peptide bond ? How many peptide bonds are present


in a tetra peptide ?

(2)

37. a. i) what are condensation polymers ? Give an example.


ii)Give the IUPAC name of the monomer of natural rubber.
b. What are Biodegradable polymers ? Give an example

(3)
(2)

Scheme of Valuation
Q.N
O

VALUE POINT

MARK
S

Two solutions having same osmotic pressure at a given temperature

Sm2 mol-1 or Scm2 mol-1

Two

Invertase

Van Arkel method

A=XeF6 or Xenonhexaflouride

A mixture containing two enantiomers in equal proportions will have zero optical
rotation.

Acetaldoxime

10

Uracil

1
PART -B

11

Formula d=zM
-------a3 NA substitution with correct answer(10.5 x 103 kgm-3)
OR

10.5 g cm-3
1
12

A metal is oxidized by loss of es and formation of oxides


Any one method of prevention of corrosion ( coating, painting, tinning, cathodic

13

protection)

Arrhenins Equation k=A.e-Ea/RT OR log ek=logeA Ea


---RT
Where k= rate constant, A=Arrhenius constant Ea= Activation energy, T= temperature,
R= gas constant (any one)

1
14

Lanthanides
1.Binding energies of 4f es are higher

Actinides
1. Binding energies of 5f es are

Lower
2. They do not form complexes easily

2. They have tendency to form

complexes
ANY ONE SUITABLE ANSWER
15

16

17

18

Electron with drawing group increases acidic strength

Electron donating group decreases acidic strength

Chemical substances which are used in the treatment of acidity

Ranitidine( (Zantac) OR ANY OTHER EXAMPLE

Chemical substances which prevent spoilage of food due to microbial growth

Ex: Table salt, sugar, vegetable oils, OR any other suitable example

PART-C
19

Al2O3 + 2 NaOH + 3H2O 2Na [ Al (OH)4]


2Na[Al(OH)4 + CO2 Al2O3. x H2O + 2NaHCO3
Al2O3. x H2O 1470k

Al2O3. +x H2O.

Each equation carries one mark

OR COMPLETE EXPLANATION IN THREE STEPS


3

20

4NH3+ 5O2 Pt/Rh

4NO + 6H2O

500k,9bar

2NO + O2

2NO2

3NO2 +H2O 2HNO3 + NO

1
1

OR COMPLETE EXPLANATION IN THREE STEPS

21

(i)
Statement
2KClO3 Mno2 2KCl + 3O2

OR SELF EXPLANATION ON REACTION


1

22

(i)

Heating MnO2 with conc. HCl


MnO2 + 4 HCl MnCl2 + Cl2+ 2H2O
OR
Self explanation on reaction\

1
1

(ii)

NH3 + Cl2(excess) NCl3 + 3HCl


2
1

23

24

Small size of metal ions

High ionic charges

Availability of d- orbitals

4FeCr2O4 + 8Na2CO3 7O2

Na2CrO4 + 2Fe2O3 +8CO2

2Na2CrO4 +2H+ Na2CrO7 + 2Na++H2O

Na2CrO7 +2KClK2Cr2O7 +2NaCl

OR COMPLETE EXPLANATION IN THREE STEPS

25

26

Square planner complex

Diamagnetic

dsp2 Hybridisation

(i)
(ii)
(iii)

Coordination compounds metals show two types of valencies primary


and secondary
Primary valencies are ionisable
Secondary valencies are non-ionisable
OR ANY OTHER POSTULATES

1
1

PART -D
27

(a) Up to a = 4 /3 OR r=

Packaing efficiency= volume offupied by 2 spheres x 100 %


Total volume of unit cell
Substitution and correct answer (68%)
(b) Total no. of particles due to corners 1/8x8=1
Total no.of particles due to faces 6x = 3 &
Total no.of particles per unit cell 3+1 = 4

1
28

(a) Formula : M2 = 1000x W2 x Kb

Substitution:
M2 = 1000 x 1.8 x 2.53
0.88 x 90

M2 = 58 g mol-1
[ NO UNIT DEDUCT ONE MARK]
(c) Ideal solution
Hmix =0
Vmix =0

non ideal solution


Hmix O
Vmix O

OR ANY OTHER DIFFERENCES


29

(a) E cell = ER --- EL


= -- 1.66+ 2.37
= 0.71 V
G = -- nF E cell
= -- 6x96500x 0.71
= - 411090 J OR - 411.09kJ
(b) Battery can not be reused

1
1
30

(a) RP
Rate = - d[R] = k[R] OR
dt
d[R] = - kdt
[R]
Integrating euation
Ln[R] = -kt+I --------------------(1)
To calculate I :
T=o, R=[R]0

ln[R]o =-kxo+I
OR
ln[R]0=I
substitutionequation (1)
ln [R] = -kt + ln [R]0
Rearranging
Ln[R] = - kt
OR
[R]0
K= 1/t. ln [R]0
OR
[R]
K= 2.303 log10 [R]0
t
[R]
(b) Order of reaction is one and molecularity is two or more than two

1
1
1

31

(a) i. SO2 + 2H2S doubel decomposition

FeCl3 + 3H2O

Hydrolysis

AS2 S3 +3H2O

Fe(OH)3 + 3HCl.
1

(b) Characteristics are


(i)
Highly efficient
(ii)
Highly specific in nature
OR
ANY OTHER REVELENT CHARACTERISTIC (FOR EACH ONE MARK)
(c) S decreases OR S is negative

1
PART-V
32

1
(a)

Step-1

+ Br -

(CH3)3 CBr slow


Step-2

+OH - fast

(CH3)3 COH

Mentioning first order kinetics

(b) Alkylhalide reacts with anyl halide gives alkylarenes when treated with
sodium indry ether
1

OR self-explanation with equation


1

2
(a) Explanation

33

OR
Step wise reaction carries
(b) HCHO+ CH3 Mg Br CH3CH2OBr
Methanal
CH3CH2OMgBr + HOH CH3CH2OH+Mg(OH)Br
Ethanol
34

(a)

H2
Pd-BaSO4

Benzoyl
chloride
Rosenmund reduction

Benzaldehyde

(b) 2CH3CHO dil NaOH CH3-CH-CH2CHO


OH

Ethanal
3-Hydroxybutanal
(ALDOL)

CH3-CH=CH-CHO
But-2 enal

2
35

(a) Hinsbergd reagent reacts with 1 amine gives a product which is soluble in
alkali
(b) Hinsbergs reagent reacts with 2 amine gives a product which is insoluble
in alkali
Hinsbergs reagemt doesnot react with 3 amine
C6H5NH2 + NaNO2+2HCl 273-278 k C6H5N2+Cl- + NaCl + 2H2O
C6H5N2+Cl- + H2OC6H5OH + N2 + HCl

1
1
1
1
1

36

(a) Optically active polyhydroxy aldehydes or ketones or the compounds which 1


produce such units on hydrolysis
2
Classified as monosaccharides, oligo saccharides, polysaccharides
(b) Elimination of a water molecule from two molecules of similar or different
amino acids and formation of CONH- bond
3 peptide bond

1
37

(a) i. condensation reaction between two different bifunctional or trifunctional


monomeric units
Nylon6,6 or Any other example
ii. isoperene or 2-methyl-1,3-butadiene
(b) polymers cause acute environmental problems and remain undegraded for
long time
Nylon-2-nylon-6 or any other example

1
1
1

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