Karnataka 2PU-PCMB - Model Question Paper 2014-15
Karnataka 2PU-PCMB - Model Question Paper 2014-15
Karnataka 2PU-PCMB - Model Question Paper 2014-15
II P.U.C
MATHEMATICS (35)
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.
2.
3.
4.
If
5.
6.
Evaluate
7.
8.
Find the equation of the plane with the intercept 2, 3 and 4 on x, y and z axes
respectively.
9.
10.
/ find |
|.
, -
and ( )
) and
find (
PART-B
Answer any Ten questions:
10 2 = 20
11.
12.
13.
Prove that 2
14.
15.
Find
16.
If
17.
if
and ( )
. /
. /
)(
) using
.
show that
18.
Evaluate
19.
Evaluate
20.
21.
22.
If
are
23.
Find the vector equation of the line, passing through the points (
24.
and
.
.
that has magnitude 7
and
) and
PART-C
Answer any Ten questions:
10 3=30
25.
26.
Prove that
27.
/ | |
/
(
)(
)(
28.
Differentiate
29.
If
30.
If ( )
31.
Evaluate
32.
Evaluate
33.
34.
35.
36.
Prove that [
37.
with respect to x.
/find
is (a) Strictly increasing
[ ]
n 2i 3j 6k
r 3i 3j 5k
38.
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.
42.
If
43.
44.
45.
Using integration find the area bounded by the triangle whose vertices are
( ) ( )
( )
46.
47.
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
. /
PART-E
Answer any One question:
49.
50
Prove that |
1
( )
( )
when
10 = 10
)
( ) and hence
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
MATHEMATICS (35)
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
2.
3.
4.
If A=*
5.
If y=
6.
7.
8.
9.
10.
+, find |
2 .
|.
.
(
) with respect to x.
x 1
2z 3
3y
2
4 .
PART
10 2=20
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=
(
*
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.
21.
Find the area of parallelogram whose adjacent sides are given by the vectors
and .
22.
23.
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
10 3=30
26.
Simplify:
27.
Express matrix A= *
+
+ as the sum of a symmetric and skew-symmetric
matrix.
28.
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.
, if | |
| |
| |
35.
36.
If
and
then find (
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
39. Let
defined by ( )
, show that f
range of the function is invertible. Also find the inverse of f.
, where S is the
40.
41.
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.
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.
48.
with respect to
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)
(a)
Prove that
( )
( )
( )
( )
(b)
Prove that |
|=ab+bc+ca+abc
x = 5.
MATHEMATICS (35)
(ii)
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
2.
3.
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.
|=|
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
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.
)x
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
16.
If y= log7(logx), find
17.
Evaluate
dx
18.
Evaluate
)dx
19.
20.
=0
21.
22.
23.
24.
=9
P(X)
0.1
2k
2k
10 3=30
26.
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.
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.
-6
+4 +3 and
and
where
+2 +
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
Consider f : R+
{
[5, ) given by f (x) = 9x2+6x-5, Show that f is invertible with f-1 (y) =
40.
If A=[
41.
42.
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.
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.
48.
-x
=0
= 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
(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)
,
where
indicates the greatest integer not greater than . Also write the set of values of
, where the function is continuous.
MATHEMATICS (35)
(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.
4.
The greatest integer function a not differentiable at integral points give reason.
5.
6.
Evaluate
7.
If a is a non zero vector of magnitude a and a is a unit vector, find the value of .
8.
9.
10.
3
)
5
i j
sin(2 5x)dx
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.
13.
14.
Find the area of triangle whose vertices are (2,0), (-1,0) and (0,3) by using determinant.
15.
16.
If y= tan 1
17.
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.
22.
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
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.
28.
If x= asin
29.
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
dy
y
.
dx
x
sin x
with respect to x.
sin(a x)
5
32.
Evaluate
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.
36.
37.
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
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
42.
43.
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
46.
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
x 3 y 60
x y 10
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
x 3 3, if x 2
f x 2
x 1, if x 2
MATHEMATICS (35)
(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
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.
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
defined on
(
( )
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
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.
a and b
21.
If either
or
with an example.
22.
23.
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
28.
If
, find
.
]
/
0
+ as
*(
.
1
( )
( )
, 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.
34.
35.
)(
dx.
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
39.
If
40.
If
41.
, where
) , 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.
46.
47.
Derive the formula to find the shortest distance between the two skew lines
48.
PART E
1 10=10
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).
( )
( )
| |
|.
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
CLASS : II PUC
Chapter
Number
UNIT
TOPICS
(CHAPTERS)
Electric Charges And Fields
Electrostatic Potential And
Capacitance
Current Electricity
Moving Charges And
Magnetism
10 Wave Optics
11
14 Semiconductor Electronics
15 Communication System
TOTAL MARKS
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
PART B
II. Answer any FIVE of the following questions.
5 2 = 10
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.
Q. No
Marks
I.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
II.
(Since
1
1
1
1
1
1
1
V
13.
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.
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
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 ]
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
dW
dI
=LI
dt
dt
dW = L I dI
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.
t +
cos
2
= 2a cos cos t +
2
2
C+D
CD
cos
]
2
2
= 2a cos
[Using cosC+cosD=2cos
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.
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.
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
I dl
2
+ R2
.............. (1)
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.
BC
and
AC
sin i BC/AC BC v1 v1
sin r AE/AC AE v2 v 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
sin i n 2
(*) becomes
31.
32.
CIRCUIT DIAGRAM
I V CHARACTERISTIC CURVE
1
1
1
1
1
1
1
1
VI.
1
2
1
2
600 1012 200 12 106 J
2
1+1
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
(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
req
eq
1 2
3 2
+
=
+ eq 2.4 V
r1 r2
0.6 1.5 1
eq
R req
2.4
2
A
3 0.6 3
1+1
(with unit)
ALTERNATE METHOD: Applying Kirchhoffs rules also this problem can be solved.
1
1
6002 3602
1.273 H
2 (3.142) (60)
Lens in water,
(with unit)
) ;
(
)(
);
)(
37.
Z2 R 2
2f
Z R 2 XL2 L
L
1
1
fgw = 0.939 m
...(1)
1
(with unit)
1
1
Total energy required to separate all neutrons and protons in the coin
= Eb N
1
1
= 2.868 1022
1
(with unit)
2 Marks
3 Marks
5 Marks (Theory)
13
Nuclei
14
Semiconductor Electronics
12
11
15
Communication System
--
--
10
120
105
20
16
24
30
25
Current Electricity
15
13
10
Electromagnetic Induction
Alternating Current
Electromagnetic Waves
10
Wave Optics
Chapter Number
Unit
Weightage of marks
Atoms
12
II
III
IV
V
VI
VII
VII
I
11
IX
1Mark
Class : II PUC
CHAPTERS
TOTAL MARKS
Max. Marks: 70
PART A
I Answer the following
10 x 1 = 10
3.
4.
5.
6.
7.
How does the power of a lens vary with its focal length?
8.
9.
II.
PART B
Answer any FIVE of the following questions
52 = 10
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.
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.
VI.
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.
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.
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
1
1
1
1
21.
22.
1 each
= Bl x
d
------>(2)
dt
e = Blv
dx
v
dt
1 each
1 each
25.
Conduction band
Overlapping
Valence band
Conductors
Conduction band
Conduction band
1each
Valence band
Valence band
Semiconductors
Insulators
or
Conductors.
1each
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)
q
---->(2)
o
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
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
1
1
1
1
31.
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
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
1 1
1.097 x10 7 2
3.647 x10 -7 m
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
3 mark (SA2)
2 mark (SA1)
Topic
1 mark (VSA)
Chapter
Unit
Marks allotted
CLASS : II PUC
Teaching
Hours
10
16
24
30
25
Max. Marks: 70
PART A
I.
10 x 1 = 10
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
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
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.
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
emitted and final end products after beta decay of primary fragments are
44Ru99
58Ce140
and
1
2
3
4
5
6
7
10
II
11
12
13
ANSWERS
Answer the following
PART-A
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
1 mark
1 mark
1 mark each
2 marks
17
These
are
the
impure
semiconductors.
Electron density is not equal to the
hole density.
Conductivity is high
1 mark each
2 marks
Message signal
III
19
Amplitude
modulator
Power
amplifier
B
dx
dW
dV =
qo
E =
qA
o
dV
dx
1 mark
1 mark
1 mark
20
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
22
23
24
1 mark
1 mark
1 mark
1 mark each
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
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
26
2 marks
PART-D
Obtain an expression for electric field for an electric dipole along its axis.
1mark
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
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
1mark
0 2 I dl R
r3
0 2I R 2
B1=
along PX
4 R 2 X 2 3 2
V
30
p. d (2n 1)
31
1mark
1mark
1mark
2marks
2marks
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
2 marks
VBB I B R VBE
and
VCE VCC I C RL
with explanation
A
2 mark
RL
RIN
1 mark
VI
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
4 0 x 4 0 16 x
10 cm from +ve charge
2 marks
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
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
1 1 1
v u f
Solution:
Substitution
Calculation of v = 8.4 cm
37
38Sr
90
1 mark
1 mark
1 mark
1 mark
1 mark
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
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
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
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
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.
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.
7.
8.
1-Chloro-2-methylpropane
9.
Benzaldehyde
10.
Glycogen
5.
II.
PART -B
11.
12.
At anodic : Zn (s)
Zn +2 + 2eAt Cathodic :Cu 2+ + 2e -
Cu (s)
1
1
1
1
13.
2.303 100
log
t 87.5%
12.5
k=
2.303
x 0.9031 - - - (1)
t 87.5%
2.303
x 0.3010 - - - (2)
t 50%
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.
/
/
> 2O3
3O2
b)
22.
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.
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
1
1
5.8 x 76 x195
m=
100 x 5
= 171.9 g mol
-1
29
l l
x
A R
1
=1.15 x
2.5 x103
a) k =
1
1
1
1
b) i) painting
ii) Electrochemical method
Or any other suitable method
30
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
32
or Biphenyl
Fittig reaction
2
1
1
1
1
1
1
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
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 :
1
1
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.
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.
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.
Part-D
IV. Answer any three of the following, each question carries five marks
27.
28.
5 X 3=15
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
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)
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.
36.
2
1
c) Name the heterocyclic N-containing base present only in DNA but not in RNA.
1.
2.
3.
4.
5.
6.
7.
9.
10.
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.
1
1
1
1
1
14.
15.
1
1
i)
16.
17.
1
1
1
1
18.
III.
19.
1
1
1
1
is less than
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.
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
25.
3d8
4s
ii) On approach of Cl ligands;
4p
SP3 hybridization
2-
1
1
(No. of corner particles) +
(No. of facial particles)
8
2
1
1
=
x8+
x6 =1+3=4
8
2
=
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)
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:
R-CN + 4 (H)
Na/alcohol
R-CH2 -NH2
b)
273-278K
C6 H5 -NH2 + NaNO2 + 2 HCl
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 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
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
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
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
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
2
2
2
1
4x5=20
dilNaOH
H2O
2
2
1
2
1
2
2
2
1
3
2
2
2
1
2
2
1
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
m
1
13
t1/2 =
t1/2 =
1
.
(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
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
O
ll
CH2 O C C17H35
O
ll
CH O C C17H+353NaOH
3C17H35COONa + CH OH
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
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)
1
1
E C of Co3+ = 3d6 or
3d
4s
4p
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
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
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
k=
or t =
t1/2 =
31
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
1
1
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
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
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
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
36
CH2OH
H
H
OH
CH2OH
O
H
O
OH
H
OH
H
OH
H
H
OH
OH
37
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
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
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
Coordination compounds
32
28
Total of Group-II
Group-III
Organic
Hours
10
11
27
28
12
29
13
30
31
11
36
14
28
8
15
32
33
12
13
Amines
14
Biomolecules
15
Polymers
16
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
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.
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=
(3)
(2)
(4)
(1)
H2 S oxidation
(2)
(2)
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)
(2)
(3)
(2)
Scheme of Valuation
Q.N
O
VALUE POINT
MARK
S
Two
Invertase
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
13
protection)
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
complexes
ANY ONE SUITABLE ANSWER
15
16
17
18
Ex: Table salt, sugar, vegetable oils, OR any other suitable example
PART-C
19
Al2O3. +x H2O.
20
4NO + 6H2O
500k,9bar
2NO + O2
2NO2
1
1
21
(i)
Statement
2KClO3 Mno2 2KCl + 3O2
22
(i)
1
1
(ii)
23
24
Availability of d- orbitals
25
26
Diamagnetic
dsp2 Hybridisation
(i)
(ii)
(iii)
1
1
PART -D
27
(a) Up to a = 4 /3 OR r=
1
28
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
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
FeCl3 + 3H2O
Hydrolysis
AS2 S3 +3H2O
Fe(OH)3 + 3HCl.
1
1
PART-V
32
1
(a)
Step-1
+ Br -
+OH - fast
(CH3)3 COH
(b) Alkylhalide reacts with anyl halide gives alkylarenes when treated with
sodium indry ether
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
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
1
37
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
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
Coordination compounds
32
28
Total of Group-II
Group-III
Organic
Hours
10
11
27
28
12
29
13
30
31
11
36
14
28
8
15
32
33
12
13
Amines
14
Biomolecules
15
Polymers
16
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
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.
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=
(3)
(2)
(4)
(1)
H2 S oxidation
(2)
(2)
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)
(2)
(3)
(2)
Scheme of Valuation
Q.N
O
VALUE POINT
MARK
S
Two
Invertase
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
13
protection)
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
complexes
ANY ONE SUITABLE ANSWER
15
16
17
18
Ex: Table salt, sugar, vegetable oils, OR any other suitable example
PART-C
19
Al2O3. +x H2O.
20
4NO + 6H2O
500k,9bar
2NO + O2
2NO2
1
1
21
(i)
Statement
2KClO3 Mno2 2KCl + 3O2
22
(i)
1
1
(ii)
23
24
Availability of d- orbitals
25
26
Diamagnetic
dsp2 Hybridisation
(i)
(ii)
(iii)
1
1
PART -D
27
(a) Up to a = 4 /3 OR r=
1
28
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
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
FeCl3 + 3H2O
Hydrolysis
AS2 S3 +3H2O
Fe(OH)3 + 3HCl.
1
1
PART-V
32
1
(a)
Step-1
+ Br -
+OH - fast
(CH3)3 COH
(b) Alkylhalide reacts with anyl halide gives alkylarenes when treated with
sodium indry ether
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
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
1
37
1
1
1