Jee Model Test-10

H Y D E R A B A D I N S T I T U T E O F E X C E L L E N C E – V I K A R A B A D

HYDERABAD INSTITUTE OF EXCELLENCEVIKARABAD

Jr. IIT Date: 05-09-2015Time: 3 Hours Max. Marks: 360

PART-B PHYSICS 31. An object is acted on by a retarding force of 10N and at a particular instant its kinetic

energy is 6J. The object will come to rest after it has travelled a distance of

1) 2) 3) 4)

Sol: According to work energy theorem 32. By applying the brakes without causing a skid, the driver of a car is able to stop his

car with in a distance of 5 m, if it is going at 36 kmph. If the car were going at 72 kmph, using the same brakes, he can stop the car over a distance of 1) 10 m 2) 2.5 m 3) 2 m 4) 40 m

Sol: 33. A bullet fired into a trunk of a tree loses ¼ of its kinetic energy in travelling a distance

of 5 cm. Before stopping it travels a further distance of 1) 150 cm 2) 1.5 cm 3) 1.25 cm 4) 15 cm

Sol:

34. A bead of mass starts from rest from “A" to move in a vertical plane along a smooth fixed quarter ring of radius 5m, under the action of a constant horizontal force F=5N as shown. The speed of bead as it reaches point “B” is

1) 14.14

2) 7.07

3) 5

4) 25

Sol: Applying the work –energy theorem, we get

Horizontal force displacement + Vertical force displacement

35. A motor boat is going in a river with a velocity . If the resisting

force due to stream is then the power of the motor boat is 1) 100 W 2) 50 W 3) 46 W 4) 23 WSol:

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JEE-MAINS MODEL-10


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36. A man carries a load of 50 kg through a height of 40 m in 25 seconds. If the power of the man is 1568 W, his mass is 1) 5 kg 2) 1000 kg 3) 200 kg 4) 50 kg

Sol: 37. An electric motor creates a tension of 4500 newton in a hoisting cable and reels it at

the rate of 2 m/s. What is the power of the motor?1) 15 KW 2) 9 KW 3) 225 W 4) 9000 KWSol:

38. A juggler throws continuously balls at the rate of three in each second, each with a velocity of 10 ms-1. If the mass of each ball is 0.05 kg his power is 1) 2 W 2) 50 W 3) 0.5 W 4) 7.5 W

Sol: 39. The work done to accelerate a body from 30 ms-1 to 60 ms-1 is three times the work

done to accelerate it from 10 ms-1 to ‘v’. The value of ‘v’ in ms-1 is

1) 30 2) 3) 4)

Sol: 40. A block of mass 4kg is initially at rest on a horizontal frictionless surface. A

horizontal force newtons acts on it, when the block is at x=0. The maximum kinetic energy of the block between x=0 and x=2m is1) 6 J 2) 8 J 3) 9 J 4) 10 JSol:

41. A block of mass 4 kg slides on a horizontal frictionless surface with a speed of 2 m/s. It is brought to rest in compressing a spring in its path. If the force constant of the spring is 400 N/m, by how much the spring will be compressed

1) 2) 2) 4)

Sol: K.E of block is converted into elastic P.E in spring 42. A body slides down a fixed curved track that is one quadrant of a circle of radius, R,

as in the figure. If there is no friction and the body starts from rest, its speed at the bottom of the track is1) 5gR

2)

3)

4)

Sol: Loss of P.E=gain in K.E;

43. A 1kg mass at rest is subjected to an acceleration of 5 and travels 40m. The average power during the motion is 1) 40 W 2) 8 W 3) 50 W 4) 200 W

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Sol: 44. If the power of the motor of a water pump is 3kW, then the volume of water in litres

that can be lifted to a height of 10m in one minute by the pump is 1) 1800 2) 180 3) 1800 4) 18

Sol:

45. A particle moves with a velocity m/s under the influence of a constant

force N. The instantaneous power applied to the particle is 1) 100 W 2) 40 W 3) 140 W 4) 170 WSol:

46. A man has twice the mass of a boy and has half the kinetic energy of the boy. The ratio of the speeds of the man and the boy must be1) 2:1 2) 4:1 3) 1:4 4) 4:2

Sol: 47. A rubber ball falling from a height of 5m rebounds from a hard floor from a hard

floor to a height of 3.5m The % loss of energy during the impact is 1) 20% 2) 30% 3) 43% 4) 50%

Sol: percentage loss of energy 48. When a long spring is stretched by x c, its P.E is U. If the spring is stretched by Nx

cm, the P.E stored in it will be

1) 2) NU 3) 4)

Sol: 49. An elastic spring is compressed between two blocks of masses 1 kg and 2kg resting

on a smooth horizontal table as shown. If the spring has 12J of energy and suddenly released, the velocity with which the larger block of 2 kg moves will be1) 2 m/s2) 4 m/s3) 1 m/s4) 8 m/s

Sol: 50. A block of mass 2kg is initially at rest on a horizontal frictionless surface A

horizontal force newton acts on it, when the block is at x=0. The maximum kinetic energy of the block between x=0 m and x=3m in joule is 1) 24 2) 20 3) 18 4) 15

Sol:

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51. A freely falling body takes 4s to reach the ground. One second after release, the percentage of its potential energy, that is still retained is 1) 6.25 % 2) 25% 3) 37.5% 4) 93.75%

Sol: 52. Two identical blocks A and B, each of mass ‘m’ resting on smooth floor are

connected by a light spring of natural length L and the spring constant I, with the spring at its natural length. A third identical block C (mass m) moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is:

1) 2) 3) 4)

Sol:

53. A bock of mass on a smooth horizontal surface with a velocity meets the spring of spring constant k=100 N/m fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as it returns the original position respectively are

1)

2)

3)

4)

Sol: K.E of block is converted into elastic P.E in spring i.e 54. A chain AB of length L is lying in a smooth horizontal tube so that a fraction h of its

length L, hangs freely and touches the surface of the table with its end B. At a certain moment, the end A of the chain is set free. The velocity of end A of the chain, when it slips out of tube, is

1)

2)

3) 4)

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Sol:

55. System shown in fig is released from rest with mass 2kg in contact with the ground. Pulley and spring are massless and the friction is absent everywhere. The speed of 5kg block when 2kg block leaves the contact with the ground is (force constant of the spring k=40 N/m and g=10 m/s2)

1)

2)

3)

4)

Sol:

56. The potential energy of a particle of mass m is given by for x<0 and

for . If total mechanical energy of the particle is E. Then its speed at is

1) zero 2) 3) 4) Sol:

57. A 1kg block situated on a rough inclined plane is connected to spring of a spring constant 100 Nm-1 as shown in fig. The block is released from rest with the spring in the upstretched position. The block moves 10cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that

the spring has a negligible mass and the pulley is frictionless. 1) 0.1252) 1.253) 5.24) 4.5

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K=100 N/m

37°

1KG


Sol: 58. A light spring o force constant ‘K’ is held between two blocks of masses ‘m’ and

‘2m’. The two blocks and the spring system rests on a smooth horizontal floor. Now the blocks are moved towards each other compressing the spring by ‘x’ and suddenly released. The relative velocity between the blocks when the spring attains its natural length will be

1) 2) 3) 4)

Sol:

59. Power supplied to a particle of mass 2kg varies with time as W. Here t is ion second. If velocity of particle at t=0 is v=0, the velocity of particle at time t=2s will be

1) 1 m/s 2) 4 m/s 3) 2 m/s 4) m/s

Sol: 60. A car of mass M accelerated starting from rest. Velocity of the car is given by

where P is the constant power supplied by the engine. The position of car as a function of time is given as

1) 2) 3) 4)

Sol:

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Jee Model Test-10

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