Ftre - 2014 Sample - Paper Class 11 Paper 2 PDF

FIITJEE Talent Reward Exam-2014
for student presently in

Class 11 PAPER–2
Time: 3 Hours Maximum Marks: 207
Instructions:
Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet
before attempting the paper. Wrong CODE or no CODE will give wrong results.
1. This Question paper consists of 2 sections. All questions will be multiple choice single correct out of four
choices with marking scheme in table below:
Marking Scheme for each question

Section Subject Question no.
correct answer wrong answer
Physics Q. 1 to 8 +3 –1
SECTION – I Chemistry Q. 9 to 16 +3 –1
Mathematics Q. 17 to 24 +3 –1
Q. 25 to 34 +3 –1
Physics
Q. 35 to 37 +5 –2
Q. 38 to 47 +3 –1
SECTION – II Chemistry
Q. 48 to 50 +5 –2
Q. 51 to 60 +3 –1
Mathematics
Q. 61 to 63 +5 –2
2. Answers have to be marked on the OMR sheet.

3. The Question Paper contains blank spaces for your rough work. No additional sheets will be provided for
rough work.
4. Blank papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices, in
any form, are not allowed.
5. Before attempting paper write your Registration Number, Name, Answer Sheet No. and Test Centre in
the space provided at the bottom of this sheet.
Note: Please check this Question Paper contains all 63 questions in serial order. If not so, exchange with the correct Question Paper.
Registration Number : _____________________________________________________________
Name of the Candidate : _____________________________________________________________
Answer Sheet No. : _____________________________________________________________
Test Centre : _____________________________________________________________
FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016. Ph: 011-46106000, 26569493, Fax: 011-26513942.
[
website: www.fiitjee.com
FTRE-2014-PCM-XI-Paper-2-(SAMPLE PAPER)-2
Section-I Physics
Comprehension Passage Comprising of 3 Questions (1 – 3)
Straight Objective Type
A 2 kg block hangs without vibrating at the bottom end of a spring with a force constant of 800 N/m. The
top end of the spring is attached to the ceiling of an elevator car. The car is rising with an upward
acceleration of 10 m/s2. When the acceleration suddenly ceases at time t = 0, the car moves upward with
constant speed. (g = 10 m/s2)
1. What is the angular frequency of oscillation of the block after the acceleration ceases?
(A) 10 2 rad/s (B) 20 rad/s
(C) 20 2 rad/s (D) 32 rad/s
2. The amplitude of the oscillation is

(A) 7.5 cm (B) 5 cm
(C) 2.5 cm (D) 1 cm
3. The initial phase angle observed by a rider in the elevator, taking downward direction to be

positive and positive extreme position to have phase constant, is equal to
2

(A) zero (B) rad
2
3
(C)  rad (D) rad
2
Space for rough work
[
Comprehension Passage Comprising of 5 Questions (4 – 8)

Frictional forces are forces in nature that are not always unnecessary. For example, the force of friction
between the tires of a car and the road is the reason why the tires can grip without slipping. The frictional
force between two surfaces depends on the nature of the materials with which the surfaces are made.
Such dependences are exhibited through the use of a dimensionless quantity known as the coefficient of
friction. If the two surfaces in contact are not moving with respect to each other, the maximum force of
friction acting between the surfaces is proportional to the normal force between the two surfaces, with the
constant of proportionality being the coefficient of friction  s .
In the given figure, the coefficients of friction for contact between the inclined surface and the four boxes
A, B, C and D are equal to 0.2, 0.5, 2 and 5 respectively. All the boxes have same mass (M).
4. A person has to push the four boxes on the incline. What is the most efficient way to arrange the
boxes to minimize the force required to push?
(A) Glued the boxes one above the other with box A at the bottom
(B) Glued the boxes up one above the other with box D at the bottom
(C) Align the boxes touching each other with box B in front
(D) Align the boxes touching each other with box C in front
5. The box A is glued to the top of box B and others are removed. What is the effect on the
maximum angle that the incline can have before the two boxes slide down by themselves?
Compare it to the case when A alone is kept on the incline.
(A) It would remain the same (B) It would decrease by a factor of 1.5
(C) it would increase (D) It would decrease by a factor other than 1.2
6. If all the blocks placed on incline in order ABCD with D at top placed in contact initially and
released from rest, then at the instant normal force between -
(A) A and B = 2 mgsin (B) B and C = 3 mgsin
(C) C and D = 4 mgsin (D) C and D = zero
7. If all the blocks placed on incline in order DCBA with A at top of incline placed in contact and
released from rest, then after that instant
(A) All the blocks can not be in contact.
(B) All the blocks will always in contact.
(C) Contact between blocks will depend on angle of inclined plane with horizontal
(D) A and B will be in contact while C & D will not be in contact.
8. In the above problem 4, if tan   7.7 , then (Where  is angle of inclination of inclined plane with
horizontal)
(A) All the blocks will move with different accelerations.
(B) All the blocks will move with same acceleration
(C) A and B will have same acceleration while C and D will have different acceleration while
(D) ABC will have same acceleration while D will have different acceleration.
[
Chemistry
Comprehension Passage comprising of 3 Questions (9 – 11)
 3 
A sample consisting of 1 mol of a monoatomic perfect gas  Cv  R  is taken through the cycle as
 2 
shown.
1 2
Pressure, P/atom
1.00
0.50 3
22.44 44.88
Volume, V/L
9. Temperature at points (1), (2) and (3) are respectively

(A) 273 K, 546 K, 273 K (B) 546 K, 273 K, 273 K
(C) 273 K, 273 K, 273 K (D) 546 K, 546 K, 273 K
10. H for the overall cycle is:

(A) 5.67  103 J (B) 5.67  103 J
(C) 11.34  103 J (D) zero
11. E for the process 1  2  is:

(A) 0.00 J (B) 3.40  103 J
(C) 3.40 J (D) 3.40  103 J
[

The apparatus shown consists of three temperature jacketed 1.000 L bulbs connected by stopcocks.
o
Bulb A contains a mixture of H2O(g), CO2(g) and N2(g) at 25 C and a total pressure of 564 mm Hg. Bulb
o
B is empty and is held at a temperature of 70 C. Bulb C is also empty and is held at a temperature
of 190o C. The stopcocks are closed, and the volume of the lines connecting the bulbs is zero. CO2
sublimes at 78 C, and N2 boils at 196o C.
12. The stopcock between A and B is opened and the system is allowed to come to equilibrium. The
pressure in A and B is now 219 mm Hg. Select correct alternate:
(A) A contains CO2(g) and N2(g) and B contains CO2(g), N2(g) and H2O(s)
(B) A contains CO2(g) and B contains N2(g) and H2O(l)
(C) A contains CO2(g), N2(g) and H2O(s) and B contains CO2(g) and N2(g)
(D) A contains H2O(g) and B contains H2O(g), N2(g) and CO2(g)
13. How many moles of H2O are in the system?

(A) 0.026 mol (B) 0.0013 mol
(C) 0.013 mol (D) 0.13 mol
14. Both stopcocks are opened and the system is again allowed to come to equilibrium. The
pressure throughout the system is 33.5 mmHg. Select correct alternate:
(A) Each bulb contains N2(g), H2O(s) and CO2(g)
(B) Each bulb contains N2(g), H2O(g) and CO2(g)
(C) Each bulb contains N2(g), H2O(g) and CO2(s)
(D) A contains N2(g), B contains N2(g) and H2O(s); C contains N2(g) and CO2(s)
15. How many moles of N2 are in the system?

(A) 0.022 mol (B) 0.011 mol
(C) 0.018 mol (D) 0.036 mol
16. How many moles of CO2 are in the system?

(A) 0.022 mol (B) 0.011 mol
(C) 0.018 mol (D) 0.036 mol
[
Mathematics
If f  x   9 sin x  4cosec x for 0  x   & g  x   4 sin x  9cosec x for 0  x   , then answer the
following problems.
17. Minimum value of f  x  is

(A) 9 (B) 12
(C) 13 (D) None of these
18. Minimum value of g  x  is

(A) 9 (B) 12
(C) 13 (D) None of these
19. If number of values of x for f  x  is minimum is “m” & number of values of x for g  x  is minimum
is “n” then,  m  n  is equal to
(A) 1 (B) 2
(C) 3 (D) 4
[

Two straight lines rotate about two fixed points (–a, 0) and (a, 0) respectively. If they start from their
position of coincidence such that one rotates at the rate double that of the other and the locus of point of
intersection of lines is the curve S = 0, then
20. The point (a, 0) always lies

(A) Inside the curve (B) Outside the curve
(C) On the curve (D) Cannot be determined
21. The point (–a, 0) always lies

(A) Inside the curve (B) Outside the curve
(C) On the curve (D) None of these
22. Locus of the curve is

(A) Circle (B) Straight line
(C) Parabola (D) Ellipse
23. Distance of the point (a, 0) from the variable point on the curve is
(A) 0 (B) 2a
(C) 3a (D) 4a
24. Distance of point (–a, 0) from the variable point on the curve is
(A) 0 (B) 2a
(C) 3a (D) None of these
[
Section-II
Physics
Physics contains 13 multiple choice questions numbered 25 to 37. Each question has 4 choices
(A), (B), (C) and (D), out of which ONLY ONE is correct.
25. A smooth chain AB of mass m rests against a surface in the R

form of a quarter of a circle of radius R. If it released from rest, A
the velocity of the chain after it comes over the horizontal part
of the surface is :
(A) 2gR (B) gR
B
 2
(C) 2gR  1   (D) 2gR  2   
 
26. A car of mass m is moving on rough horizontal circular track of radius R with tangential
acceleration a, then friction force on car when speed of car is v –
mv 2
(A) (B) ma
R
mv 2
(C) ma  (D) None of these
R
27. A car is moving with speed 10 m/s. At an instant driver see a wall in front of him at some
distance, he applies hard brakes to avoid accident. Distance of car when driver applies brake
from wall is 100 m and friction coefficient between car tyres and ground = 0.2 (Assume straight
line motion of car)
(A) Distance of car from wall at t = 6 sec. 24 m
(B) Distance of car from wall at t = 6 sec. 26 m
(C) Distance of car from wall after t = 8 sec. 25 m
(D) Distance of car from wall after t = 8 sec. 84 m
[
28. A block A of mass 20 kg is placed over block B of mass

10 kg which is kept on smooth horizontal surface. A force A
F = 40 N is applied on A towards left while F = 10 N on B 40 N 20 kg   0.2
towards right. [Friction coefficient between A & B is 0.2]
(A) Friction force between A & B is 40 N B
10 kg 10 N
(B) Friction force between A & B is 20 N
(C) Friction force between A & B is zero
(D) Friction force between A & B is 60 N smooth
29. A block of mass 10 kg is placed on rough horizontal surface. The block can slide on rough
3
surface with which of the given forces (coefficient of friction between block & surface = and
4
2
take g = 10 m/s )
(A) 50 N (B) 65 N
(C) 40 N (D) must be greater than 75 N
2
30. A body is thrown at an angle 0 with horizontal such that it attains a speed equal to times the
3
speed of projection when the body is at half of its maximum height. Find the angle 0 .
 2  2
(A) sin1  (B) tan1 
 3   3 
   
 2  2
(C) cos 1  (D) cot 1 
 3   3 
   
31. A wedge of mass m is moved with constant acceleration a.

A block of mass ‘m’ attached with the wedge by light a
spring moves with an acceleration a’ w.r.t. ground. When
the wedge is stopped suddenly, neglecting friction a'
between the contacting surfaces, the acceleration of the
block just after this m
(A) a ' (B) a ' a
m
(C) a ' a (D) a
[
32. If a block of mass ‘m’ placed on triangular wedge of same mass m

which is placed on horizontal smooth surface so that wedge can move m
freely. When block moves from top to bottom of triangular wedge as
shown in fig. Then work done on block by normal force which is
l
acting on Q block due to triangular wedge – m
(A) zero
(B) positive 
(C) negative
(D) may be zero or positive smooth
33. In the system shown in the diagram all surfaces are smooth; pulley and strings are ideal. If
 
a A and aB are the acceleration of the two blocks, then just after the system is released from rest,
then choose the incorrect statement:
B A
 
(A) a A  aB
 
(B) a A  aB
(C) Acceleration of A relative to B is vertically downwards
(D) Normal force exerted by B on A is zero
AT  BT 2
34. Pressure p, volume V and temperature T for a certain gas are related by p  , where A
V
and B are constants. The work done by the gas as its temperature changes from T1 to T2 while
pressure remains constant is
B
(A) A   T2  T1  (B) A  T2  T1   B  T2 2  T12 
2
A 2 B 2 B 3
(C)
T
 
3

T2  T12  T23  T113  (D) A  T2  T1    T2  T1 
3
[
35. The maximum attainable temperature of ideal gas in the process

P  P0  V 2
where P0 and  are +ve constants
1/2 1/ 2
2 P0  P0  2 P0  2 P0 
(A)   (B)  
3nR  3  2nR  3 
1/2 1/2
2nR  2 P0  2 P0  P0 
(C)   (D)  
P0  3  nR  2 
36. A train moves towards a stationary observer with speed 34 m/s. The train sounds a whistle and
its frequency registered by the observer is f 1. If the train’s speed is reduced to 17 m/s, the
frequency registered is f 2. If the speed of sound is 340 m/s, then the ratio f 1/f 2 is
(A) 18/19 (B) 1/2
(C) 2 (D) 19/18
37. Two identical point like sound sources emitting sound in same phase of P
wavelength 1m are located at points P and Q as shown in figure. All
sides of the polygon are equal and of length 1m. The intensity of sound
at M due to source P above is l0. What will be the intensity of sound at Q M
point M when both the sources are on?
(A) 4 I0 (B) 0
9
(C) I0 (D) 3 I0
4
[
Chemistry
Chemistry contains 13 multiple choice questions numbered 38 to 50. Each question has 4
choices (A), (B), (C) and (D), out of which ONLY ONE is correct.
38. Which is not true about chemical equilibrium?

(A) It is dynamic in nature
(B) Free energy change G  0
(C) Equilibrium state can’t be affected by altering concentration
(D) Catalyst can change the state of equilibrium
1
39. For the reaction NOBrg  NOg  Br2g Kp = 0.25 atm1/2 at 190oC. If NOBr, NO and Br2 are
2
placed in a vessel (closed) at partial pressure 0.5 atm, 0.4 atm and 0.2 atm respectively, which is
not true about it.
(A) At equilibrium partial pressure of NOBr is less than 0.5 atm
(B) At equilibrium partial pressure of NO is less than 0.4 atm
(C) At equilibrium partial pressure of Br2 is less than 0.3 atm
(D) All of them
40. The equilibrium of which of the following reaction will not be disturbed by addition of an inert gas
at constant volume.
(A) H2g  I2g  2HIg (B) N2 O 4g  2NO2g
(C) COg  2H2g  CH3 OHg (D) All of them
41. If the shortest wavelength of H atom in Lyman series is x, then longest wavelength in Balmer
series of He+ is:
9x 36x
(A) (B)
5 5
x 5x
(C) (D)
4 9
42. Magnetic moments of V (Z = 23), Cr (Z = 24) and Mn (Z = 25) are x, y, z. Hence:

(A) x  y  z (B) x  y  z
(C) x  z  y (D) z  y  x
BaCl2
43. Salt A  S  B   white ppt.
A is paramagnetic in nature and contains about 55% K. Thus A is:
(A) K2O (B) K2O2
(C) KO2 (D) K2SO4
[
44. The relative thermal stabilities of alkali metal halides are such that:
(A) CsCl > RbCl > KCl > NaCl > LiCl (B) LiCl > NaCl > KCl > RbCl > CsCl
(C) CsCl > RbCl > KCl > NaCl > LiCl (D) CsCl < RbCl > KCl < NaCl > LiCl
o
45. For the reaction N2O4 (g)  2NO2  g , Kc is 6.10  103 at 25 C. Hence, Kc for the equilibrium
reaction,
1
NO2 g  N2O 4 g is:
2
(A) 1.64  102 (B) 81.97
(C) 3.14 (D) 12.80
46. What is enthalpy change when 1 L of 1 M H2SO4 is completely neutralized by 1 L of 1 M

Ca(OH)2?
(A) 13.7 kcal (B) 27.4 kcal
(C) 1.37 kcal (D) 2.74 kcal
47. [Ag+] in saturated AgCl in presence of 0.1 M KCl is [Given: Ksp (AgCl) = 1 10 10 ]:
(A) 1 10 5 M (B) 1 10 20 M
10
(C) 1 10 M (D) 2  1010
48. H2SO4 is 98% by weight of solution. Hence, it is:

(A) 1 molal (B) 10 molal
(C) 50 molal (D) 500 molal
49. Select correct statement about stability of cations:

(A) Ge 4   Sn4   Pb4  (B) Ge2   Sn2   Pb2 
(C) Pb2   Pb 4  , Sn4   Sn2  (D) All are correct statements
50. Lead pencil contains:

(A) lead (B) graphite
(C) alloy of lead and tin (D) alloy of led and graphite
[
Mathematics
Mathematics contains 13 multiple choice questions numbered 51 to 63. Each question has 4
choices (A), (B), (C) and (D), out of which ONLY ONE is correct.
51. The perpendicular distances p1, p2, p3 of points  a2 , 2a  ,  ab, a  b  , b2 , 2b  respectively from
straight line x  y tan   tan2   0 are in
(A) A.P. (B) G.P.
(C) H.P. (D) A.G.P.
x2 y2
52. If parabola y 2  4aex and ellipse   1 have same length of latus rectum then

a2 a2 1  e2 
value of eccentricity of ellipse “e” is
1
(A) (B) 2 1
2
3
(C) 2  2 (D)
2
53. If the line y  mx meets the lines x  2y  1  0 and 2x  y  3  0 at the same point, then m is
equal to
(A) 1 (B) –1
(C) 2 (D) –2
54. In the xy plane, the length of the shortest path from (0, 0) to (12, 16) that does not go inside the
2 2
circle  x  6    y  8   25 is
(A) 10 3 (B) 10 5
5
(C) 10 3  (D) 10  5
3
[
55. The complete set of real values of ‘a’ for which atleast one tangent to the parabola y 2  4ax
becomes normal to the circle x 2  y 2  2ax  4ay  3a2  0 is
(A) [1, 2] (B)  2, 3 
(C) R (D) R  0
56. A certain polynomial P  x  , x  R , when divided by x  5 , x  4 and x  3 leaves remainder 5,

4, 3 respectively. The remainder, when P  x  is divided by  x  5  x  4  x  3  is
(A) x 2  1 (B) x
(C) 2x 2  4  3 (D) 12
dy 1
57. If y  x 2  ln x then at x   is
dx 2
(A) 3 (B) +1
(C) 3 (D) doesn’t exist
3 1 3 3
58. In a ABC , if cos A cosB cos C  and sin A sinB sinC  ,
8 8
then tan A  tanB  tanC is
3 3 34
(A) (B)
3 1 3 1
6 3 3 2
(C) (D)
3 1 3 1
    1
59. The sum of all the solutions of equation cos .cos     .cos      ,    0, 6 is
 3 3  4
(A) 15 (B) 30
100
(C) (D) None of these
3
[
60.  
If A   , then number of elements in P P P  P  A     is { P  A  denotes power set of A}
(A) 0 (B) 4
(C) 8 (D) 16
61. If log  a  b   loga  logb is true for a, b  R then minimum value of “a” is
(A) 1 (B) 2
(C) 4 (D) 8
62. If f  x   ax 7  bx 3  cx  5 , a, b, c are real constants and f  7   7 , then range of

f  7   17cos x is
(A) [–34, 0] (B) [0, 34]
(C) [–34, 34] (D) None of these
a2 b2
63. Let a and b be two roots of x 2  3x  5  0 . If t  and s  are two roots of
b2 a2
x 2  mx  1  0 , then m is
5 5
(A)  (B) 
2 3
5 5
(C) (D)
2 3
[
FIITJEE Talent Reward Exam-2014

for student presently in
Class 11 PAPER–2
ANSWER KEYS
SECTION – I SECTION – II
(PCM) (PCM)
(COMPREHENSION PASSAGE)
Q. No Answer Q. No Answer Q. No Answer
1. B 25. C 49. D
2. C 26. D 50. B
3. B 27. C 51. B
4. A 28. B 52. B
5. C 29. B 53. B
6. D 30. A 54. C
7. B 31. A 55. D
8. B 32. C 56. B
9. A 33. C 57. D
10. D 34. B 58. A
11. B 35. A 59. B
12. A 36. D 60. D
13. B 37. C 61. C
14. D 38. C 62. A
15. B 39. A 63. B
16. D 40. D
17. B 41. A
18. C 42. C
19. C 43. C
20. A 44. B
21. C 45. D
22. A 46. B
23. B 47. C
24. D 48. D
[

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FIITJEE Talent Reward Exam-2014

for student presently in

Time: 3 Hours Maximum Marks: 207

Marking Scheme for each question

2. Answers have to be marked on the OMR sheet.

Registration Number : _____________________________________________________________

Name of the Candidate : _____________________________________________________________

Answer Sheet No. : _____________________________________________________________

Test Centre : _____________________________________________________________

2. The amplitude of the oscillation is

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Comprehension Passage Comprising of 5 Questions (4 – 8)

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9. Temperature at points (1), (2) and (3) are respectively

10. H for the overall cycle is:

11. E for the process 1  2  is:

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Comprehension Passage comprising of 5 Questions (12 – 16)

13. How many moles of H2O are in the system?

15. How many moles of N2 are in the system?

16. How many moles of CO2 are in the system?

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17. Minimum value of f  x  is

18. Minimum value of g  x  is

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Comprehension Passage comprising of 5 Questions (20 – 24)

20. The point (a, 0) always lies

21. The point (–a, 0) always lies

22. Locus of the curve is

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25. A smooth chain AB of mass m rests against a surface in the R

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28. A block A of mass 20 kg is placed over block B of mass

31. A wedge of mass m is moved with constant acceleration a.

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32. If a block of mass ‘m’ placed on triangular wedge of same mass m

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35. The maximum attainable temperature of ideal gas in the process

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38. Which is not true about chemical equilibrium?

42. Magnetic moments of V (Z = 23), Cr (Z = 24) and Mn (Z = 25) are x, y, z. Hence:

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46. What is enthalpy change when 1 L of 1 M H2SO4 is completely neutralized by 1 L of 1 M

48. H2SO4 is 98% by weight of solution. Hence, it is:

49. Select correct statement about stability of cations:

50. Lead pencil contains:

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56. A certain polynomial P  x  , x  R , when divided by x  5 , x  4 and x  3 leaves remainder 5,

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62. If f  x   ax 7  bx 3  cx  5 , a, b, c are real constants and f  7   7 , then range of

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FIITJEE Talent Reward Exam-2014

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