SUBJECTS XI STD WT -9 JEE QP

PHYSICS WORK, ENERGY & POWER AND COLLISIONS (FULL CHAPTER)

CHEMISTRY THERMODYNAMICS (FULL CHAPTER)
MATHS SEQUENCES AND SERIES (S1-S4)
TOTAL MARKS – 300 DURATION – 3 Hrs
EACH QUESTION CARRIES 4 MARKS. (-1 MARK) FOR WRONG ANSWER.

PHYSICS
1. A raindrop of mass 1 g falling from a height of 1 km hits the ground with a speed of 50 m s-1. If the
resistive force is proportional to the speed of the drop, then the work done by the resistive force is (Take
g = 10 ms-2)
a) 10 J b) -10 J c) 8.75 J d) -8.75 J
2. The angle between force F = 3 iˆ + 4 ĵ - 5 k̂ ) unit and displacement d = (5 iˆ +4 ĵ +3 k̂ ) unit is
a) cos-1 (0.16) b) cos-1 (0.32) c) cos-1 (0.24) d) cos-1 (0.64)
3. Figure shows four situations in which a force is applied to a block. If all four cases, the force has the
same magnitude, and the displacement of the block is to the right and of the same magnitude. Which of
the following cases work done by the applied force on the block is zero?

a) (i) b) (ii) c) (iii) d) (iv)

4. The momentum of a body is increased by 25%. The kinetic energy is increased by about
a) 25 % b) 5 % c) 56 % d) 38 %
5. A running man has half the kinetic energy than a boy of half his mass has. The man speed up by 1.0 ms-1
and then he has the same energy as the boy. The original speed of the man and boy respectively are
a) 2.4 ms-1, 1.2 ms-1 b) 1.2 ms-1, 4.4 ms-1
c) 2.4 ms-1, 4.8 ms-1 d) 4.8 ms-1, 2,\.4 ms-1
6. A force F acting on an object varies with distance x as shown in the figure. The work done by the force
in moving the object form x = 0 to x = 20 m is

a) 500 J b) 1000 J c) 1500 J d) 2000 J

7. A block of mass 10 kg is moving in x –direction with a constant speed of 10 ms-1. It is subjected to a
retarding force Fr = -0.1 x J m-1 during its travel form x = 20 m to x = 30 m. Its final kinetic energy will
be
a) 250 J b) 275 J c) 450 J d) 475 J
8. A bolt of mass 0.2 kg falls from the ceiling of an elevator moving down with an uniform speed of 5 ms-1.
It hits the floor of the elevator (length of the elevator = 5 m) and does not rebound. The amount of heat
produced by the impact is (Take g = 10 ms-2)
a) 5 J b) 10 J c) 15 J d) 20 J
9. In a shotput event an athlete throws the shotput of mass 20 kg with an initial speed of 2 ms-1 at 45o from
a height 3 m above ground. Assuming air resistance to be negligible and acceleration due to gravity to be
10 ms-2, the kinetic energy of the shotput when it just reaches the ground will be
a) 2.5 J b) 5 J c) 255 J d) 640 J
10. A 15 g ball is shot from a spring gun whose spring has a force constant 600 N m-1. The spring is
compressed by 5 cm. The greatest possible horizontal range of the ball for this compression (Take g = 10
ms-2)
a) 6 m b) 8 m c) 10 m d) 12 m
11. An adult weighing 600 N raises the centre of gravity of his body be 0.25 m while taking each step of 1 m
length in jogging. If the jogs for 6 km, the energy utilized by him in jogging is
a) 9  106 J b) 9  105 J c) 6  106 J d) 6  105 J
12. A crane lifts a mass of 100 kg to a height of 10 m in 20 s. The power of the crane is (Take g = 10 m s-2)
a) 100 W b) 200 W c) 250 W d) 500 W
13. Two men with weights in the ratio 4:3 run up a staircase in time in the ratio 12:11. The ratio of power of
the first to that of second is
a) 4/3 b) 12/11 c) 48/33 d) 11/9
14. A particle of mass 1 g moving with a velocity v 1 = 3 iˆ - 2 ĵ ms-1 experiences a perfectly inelastic
collision with another particle of mass 2 g and velocity v 2 = 4 iˆ - 6 k̂ ms-1. The velocity (in ms-1) of the
particle is
a) 2.3 b) 4.6 c) 9.2 d) 6
15. A mass of 5 kg is moving along a circular path of radius 1 m. If the mass moves with 300 revolutions per
minute, its kinetic energy world be
a) 2502 J b) 100 2 J c) 52 J d) 0 J
16. A small block of mass M moves on a frictionless surface of an inclined plane, as shown in the figure.
The angle of the incline suddenly changes from 60o to 30o at point B. The block is initially at rest at A.
Assume that collisions between the block and the incline are totally inelastic. The speed of the block at
point B immediately after it strikes the second incline is

a) 60 m/s b) 45 m/s c) 30 m/s d) 75 m/s

17. A force of F = 2x iˆ +2 ĵ +3z2 k̂ N is acting on a particle. Find the work done by this force in displacing
the body from (1, 2, 3) m to (3, 6, 1) m.
a) -10 J b) 100 J c) 10 J d) 1 J
18. A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration.
What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8  10-4
J by the end of the second revolution after the beginning of the motion?
a) 0.18 m/s2 b) 0.2 m/s2 c) 0.1 m/s2 d) 0.15 m/s2
19. An electric lift with a maximum load of 2000 kg (lift + passengers) is moving up with a constant speed
of 1.5 ms-1. The frictional force opposing the motion is 3000 N. The minimum power delivered by the
motor to the lift in watts is (g = 10 ms-2)
a) 23000 b) 20000 c) 34500 d) 23500
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20. A metre stick weighing 600 g, is displaced through an angle of 60 in vertical plane as shown. The
change intis potential energy is (g = 10 ms-2)

a) 1.5 J b) 15 J c) 30 J d) 45 J
21. A particle has shifted along some trajectory in the x –y plane from point 1 whose radius vector,
r 1= iˆ +2 ĵ to point 2 with the radius vector, r 2=2 iˆ -3 ĵ . During that time the particle experienced force,
F = 3 iˆ +4 ĵ . Then the work performed by the force F will be ___ J.( r 1, r 2 and F are given in SI units).
22. A spring of constant 100 N/m is stretched by applying equal forces each of magnitude F at the two ends.
The energy stored in the spring is 200 J. Now spring is cut into two equal parts and one of the part is
stretched by applying equal forces each of magnitude F at the two ends. The energy stored in that part of
spring is __ J
23. A particle of mass 10/7 kg is moving in the positive direction of x-axis. At initial position x = 0, its
velocity is 1 ms-1, then its velocity at x = 10 m is (use the given graph) ____m/s.

24. A stone of 1 kg tied up with 10/3 m long string rotated in a vertical circle. If the ration of maximum and
minimum tension in string is 4 then speed of stone at highest point of circular path will be ___m/s. (g
=10 ms-2)
25. A 10 kg block is pulled in the vertical plane along a frictionless surface in the form of an arc of a circle
of radius 10 m. The applied force is of 200 N as shown in figure. If the block had started from rest at A,
the velocity at B would be __ m/s (Rounding off to the nearest integer)

CHEMISTRY
26. Warming of NH4 Cl with NaOH in a test tube is an example of
a) closed system b) Isolated system c) Open system d) None of these
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27. 4 moles of an ideal gas at 27 C are allowed to expand isothermally from an initial pressure of 12.0 atm to
a final pressure of 6.0 atm against a constant external pressure of 1.0 atm. Thus, work done will be
a) -1870.6 J b) +1870.6 J c) -18.47 J d) -831.5 J
28. Two moles of helium gas undergo a reversible cyclic process as shown in figure. Assuming gas to be
ideal, what is the net work done involved in the cyclic process?

a) -100 Rln4 b) +100 Rln4 c) +200 Rln4 d) -200 Rln4

29. For the combustion of n – octane C8H18 +  CO2 + H2O at 25o C (ignoring resonance in CO2)
a) H = E – 5.5  8.31  0. 298 in kJ/mol
b) H = E + 4.5  8.31  0. 298 in kJ/mol
c) H = E – 4.5  8.31  0. 298 in kJ/mol
d) H = E – 4.5 + 8.31  0. 298 in kJ/mol
30. One gram-atom of graphite and one gram-atom of diamond were separately burnt to CO2. The amount of
heat liberated was 393.5 kJ and 395.4 kJ respectively. It is apparent that
a) graphite has greater affinity for oxygen
b) diamond has greater affinity for oxygen
c) graphite is more stable than diamond
d) diamond is more stable than graphite
31. The enthalpy at 298 K of the reaction H2O2 (l)  H2O (l) + ½ O2 (g) is -23.5 kcal mol-1 and the enthalpy
of formation of H2O2(l) is -44.8 kcal mol-1. The enthalpy of formation of H2O(l) is
a) -68.3 kcal mol-1 b) 68.3 kcal mol-1 c) -91.8 kcal mol-1 d) 91.8 kcal mol-1
32. The  H of for CO2(g), CO(g), and H2O (g) are -393.5, -110.5, and -241.8 kJ mol-1 respectively. The
standard enthalpy change (in kJ) for the reaction CO2(g) + H2(g)  CO(g) + H2O (g) is
a) 524.1 b) 41.2 c) -262.3 d) -41.2
33. The process of evaporation of a liquid is accompanied by
a) an increase in entropy b) a decrease in entropy
c) no change in entropy d) no change in free energy
34. 5 mole of an ideal gas expand reversibly from a volume of 8 dm3 to 80 dm3 at a temperature of 27o C.
Calculate the change in entropy.
a) 70.26 JK-1 b) 82.55 JK-1 c) 95.73 JK-1 d) 107.11 JK-1
35. A swimming pool contains 1 × 105 L of water. How much energy in joules is required to raise the
temperature of water from 20°C to 25°C? The specific heat capacity of water is 4.184 J/°C g..
a) 3.248 × 106 kJ b) 20.92 × 106 kJ c) 2.092 × 106 kJ d) 2.092 × 108 kJ
36. 1.0 mole of a monoatomic ideal gas is expanded from state I to state II at 300 K. Thus, work done is

a) -1729 J b) +1728 J c) -75.8 J d) 17.07 J

37. Quantity of work (in joules) done by the gas if it expands against a constant pressure of 0.980 atm and the
change in volume (V) is 25.0 L, is
a) 24.5 J b) 2.48 J c) 2.48  103 J d) 0.0245 J
38. (H - U) for the formation of carbon monoxide (CO) from its elements at 298 K is (R = 8.314 J K-1
mol-1)
a) 2477. 57 mol-1 b) -1238.78 mol-1 c) 1238.78 J mol-1 d) -2477.57 J mol-1
39. For a particular reversible reaction, at temperature T, H and S were found to be both +ve. If Te is the
temperature at equilibrium, the reaction would be spontaneous when
a) Te >T b) T > Te c) Te is 5 times T d) T = Te
40. In view of the signs of r G for the following reactions
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PbO2 + Pb  2 PbO, rGo < 0

SnO2 +Sn  2 SnO, rGo > 0
which oxidation states are more characteristic for lead and tin?
a) For lead + 4, for tin + 2 b) For lead + 2, for tin + 2
c) For lead + 4, for tin + 4 d) For lead + 2, for tin + 4
41. U is equal to:
a) Isochoric work b) Isobaric work c) Adiabatic work d) Isothermal work
42. The word ‘standard’ in standard molar enthalpy change implies
a) Temperature 298 K b) Pressure 1 atm
c) Temperature 298 K and pressure 1 atm d) All temperatures and all pressures
43. The relationship between enthalpy and internal energy change is
a) U = H + PV b) H = U + PV c) H = U - PV d) PV = U + H
1 3
44. For hypothetical reversible reaction A2(g) + B2(g)  AB3 (g); H = -20kJ. If standard entropies of
2 2
A2, B2, and AB2 are 60, 40 and 50 J K-1 mol-1, respectively. The above reaction will be equilibrium at
a) 400 K b) 500 K c) 250 K d) 200 K
45. Since the enthalpy of elements in their natural state is taken to be zero, the heat of formation (fH) of
compounds
a) Is always negative b) Is always positive
c) May be negative or positive d) Is zero
46. Amongst the following, the total number of reaction/processes in which the entropy increases are:
a. 2 NaHCO3(s)  Na2CO3(s) + CO2(g) +H2O(g)
b. A liquid crystallizes into a solid.
c. Temperature of crystalline solid is raised from zero K to 100K.
d. Hard boiling of an egg.
e. Devitrification glass.
f. Stretching of a rubber band.
g. Desalination of water.
h. NH3(g, 10 atm)  NH3 (g, 1 atom)
47. Amongst the following, the total number of physical properties which are extensive are:
a. Density b. Viscosity c. Surface tension d. Dipole moment
e. Volume f. Refractive index g. G h. H
i. U j. S
48. Amongst the following in Q. 13 above, mention the total number of intensive physical properties.
49. At constant pressure and 17oc, the heat of formation of C2H4 is -2710 cal. What will be its heat of
formation at constant volume? (in kcals)
50. Bond dissociation energy of XY, X2 and Y2 (all diatomic molecules) are in the ratio of 1: 1: 0.5 and Hf
of XY is -100 kJ mol-1. The bond dissociation energy of X2 is 100x. Find the value of x.

MATHS
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51. Find the n term of G.P is
a) an=rn-1 b) an=arn-1 c) an=arn-2 d) none of these
52. The sum of the series 1 + 3 + 5 + 7 +… up to 100 terms is
a) 502 b) 1012 c) 1002 d) 512
53. The third term of a G.P is 7, the product of its first five terms is
a) 74 b) 75 c) 76 d) 73
54. If the ratio of H.M. to the G.M of two numbers is 6 : 10 then the ratio of the numbers is
a) 5 : 3 b) 3 : 1 c) 1 : 9 d) none of these
55. The first and last terms of an A.P are a and I respectively. If S be the sum of all the terms of the A.P. then
the common difference is
I 2  a2 I 2  a2 I 2  a2 I 2  a2
a) b) c) d)
2S  ( I  a) 2S  I  a 2S  I  a 2S  I  a
56. The first term, common difference and the last term of an AP are 12, 6 and 252 respectively. Find the
sum of all the terms of this A.P
a) 5412 b) 5410 c) 5101 d) 5411
57. Find the first four terms of an AP, whose first term is – 2 and the common difference is – 2
a) -2, -4, -6, -8 b) -2, -3, -5, -6 c) -2, -4, -9, -6 d) none of these
58. Sum of first 5 terms of an A.P. is one fourth of the sum of next five terms. If the first term is 2, then the
common difference of the A.P is
a) 6 b) -6 c) 3 d) none of these
59. If the first term of an A.P is -5 and the common difference is 2, then the sum of first 6 terms is
a) 0 b) 5 c) 6 d) 15
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60. Compute the 16 term of HP if the 6 and 11 term of HP are 10 and 18, respectively.
a) 70 b) 50 c) 90 d) none of these
61. Determine the 4 of the harmonic progression 6, 4, 3 …
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a) 12/7 b) 12/5 c) 12/8 d) none of these

62. Find the formula for sum of squares of n Natural numbers ___
n(n  1)(2n  1) n(n  1)(2n  1)
a) b)
6 6
n(n  1)(2n  1)
c) d) None of these
6
63. The sum of the first n positive integers is given by __
a) n (n+1)/2 b) n (n-1)/2 c) n (n+1) d) n (n-1)
64. The sum of n terms of an AP is given by __.
a) Sn = n/2 [2a + (n -1) d] b) Sn = n/2 [2a + (n +1) d]
c) Sn = n/2 [2a - (n -1) d] d) Sn = n/2 [2a - (n +1) d]
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65. Find the n term in an A.P is
a) an=a+(n-1)d b) an=a+(n+1)d c) an=a+(n-2)d d) an=a+(n-3)d
66. If a, b, c are in AP, then b is known as arithmetic mean is equal to __.
a) (a+ c)/2 b) a +c, c) a –c, d) c –a
67. Find the sum of a first n terms of a G.P formula (r<1) ___
a(1  r n ) a(1  r n ) a(1  r n )
a) Sn  b) Sn  c) Sn  d) None of these
1 r 1 r 2r
68. The sum of an infinite geometric series is given be __
a a 2a
a) S  b) S  c) S  d) None of these
1 r 2r 2r
69. Which of the following is an example of a finite sequence?
a) 1, 2, 3,…. 100 b) 1, 2, 4, 8, 16 … c) 2, 5, 8, 11, … d) 1, 1/2, 1/4, 1/8,…
 a b c
70. If a, b and c are in HP, then , , are in
bc ca ab
a) AP b) GP c) HP d) cannot be determined uniquely
71. If 3, 7, 11…, 35 is an AP, what is the common difference?
72. The first term of an A.P is 1 and the sum of first 15 terms is 225, find the common difference.
73. If 2, 6, 18…, 486 is a GP, what is the common ratio?
74. The sum of 15 terms of an A.P. is 600, and the common difference is 5; find the first term.
75. The 6th term of an A.P. is 18 and the 9th term is 12 then t15 of the series is