Demo 2 — IISER Physics MCQs with Solutions

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time . On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time . The time taken by her to walk up on the moving escalator will be (a)(b) (c)(d)

Two cars and start from a point at the same time in a straight line and their positions are represented by and . At what time do the cars have the same velocity? (a)(b) (c)(d)

If the velocity of a particle is , where and are constants, then the distance travelled by it between 1 and 2 is (a)(b) (c)(d)

A particle of unit mass undergoes one‐ dimensional motion such that its velocity varies according to , where and are constants and is the position of the particle. The acceleration of the particle as a function of , is given by (a) (c)

A stone falls freely under gravity. It covers distances and in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between and is (a) and (b) (c) (d)

The motion of a particle along a straight line is described by equation where is in metre and in second. The retardation of the particle when its velocity becomes zero is (a) 24 (b) zero (c) 6 (d) 12

A boy standing at the top of a tower of 20 height drops a stone. Assuming the velocity with which it hits the ground is (a) 10.0 (b) 20.0 (c) 40.0 (d) 5.0

A particle covers half of its total distance with speed and the rest half distance with speed . Its average speed during the complete journey is (a)(b) (c)(d)

A particle moves a distance in time according to equation . The acceleration of particle is proportional to (a)(b) (c)(d)

A ball is dropped from a high-rise platform at starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed . The two balls meet at . What is the value of ? Take (a)(b) (c) 40 (d) 60

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is and that covered in the first 20 seconds is , then (a)(b) (c)(d)

A bus is moving with peed of straight road. A scooterist wishes to overtake the bus in 100 . If the bus is at adistance of 1 km from the scooterist, with what speed should the scooterist chase the bus? (a) 40 (b) 25 (c) 10 (d) 20

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 to 20 while passing through adistance 135 in second. The value of is (a) 12 (b) 9 (c) 10 (d) 1.8

The distance travelled by a particle starting from rest and moving with an acceleration , in the third second is (a)(b) (c) 6 (d) 4

A car moves from to with a uniform speed and returns to with a uniform speed . The average speed for this round trip is (a)(b) (c)(d)

The position of a particle with respect to time along ‐axis is given by where is in metres and in seconds. What will be the position of this particle when it achieves maximum speed along the direction? (a) 54 (b) 81 (c) 24 (d) 32

Two bodies (of mass 1 ) and (of mass 3 are dropped from heights of 16 and 25 , respectively the ratio of the time taken by them to reach the ground is (a) 4/5 (b) 5/4 (c) 12/5 (d) 5/12

A car runs at a constant speed on a circular track of radius 100 , taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is (a) 10 (b) (c)(d)

A particle moves along a straight line . At a time (in seconds) the distance (in metres) of the particle fr om is given by How long would the particle travel before coming to rest? (a) 16 (b) 24 (c) 40 (d) 56

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? Given (a) more than 19.6 (b) at least 9.8 (c) any speed less than 19.6 (d) only with speed 19.6

If a ball is thrown vertically upwards with speed , the distance covered during the last seconds of its ascent is (a)(b) (c)(d)

A particle is thrown vertically upward. Its velocity at half of the height is 10 , then the maximum height attained by it (a) 8 (b) 20 (c) 10 (d) 16

Motion of a particle is given by equation . The value of acceleration of the particle at is (a) 10 (b) 32 (c) 23 (d) 16

A car moving with peed o can be stopped by applying brakes after at least 2 . If the same car is moving with aspeed of 80 , what is the minimum stopping distance? (a) 4 (b) 6 (c) 8 (d) 2

A rubber ball is dropped from a height of 5 on a plane. On bouncing it rises to 1.8 . The ball loses its velocity on bouncing by a factor of (a)(b) (c)

The position of a particle varies with time, (t) as . The acceleration will be zero at time is equal to (a)(b) zero (c)(d)

If a car at rest accelerates uniformly to a speed of 144 in 20 , it covers a distance of (a) 1440 cm (b) 2980 cm (c) 20 (d) 400

A body dropped from a height with initial velocity zero, strikes the ground with a velocity 3 . Another body of same mass dropped from the same height with an initial velocity of 4 . The final velocity of second mass, with which it strikes the ground is (a) 5 (b) 12 (c) 3 (d) 4

The acceleration of a particle is increasing linearly with time as . The particle starts from origin with an initial velocity . The distance travelled by the particle in time will be (a)(b) (c)(d)

The water drops falls at regular intervals from a tap 5 above the ground. The third drop is leaving the tap at instant the first drop touches the ground. How far above the ground is the second drop at that instant? (a) 3.75 (b) 4.00 (c) 1. (d) 2.50