Practice Test

Q1) Which of the following can be zero when a particle is in motion for some time ? Show Answer

Q2) If distance covered by a particle is zero, what can you say about its displacement ? Show Answer

Q3) An athlete completes one round of a circular track of radius r in 30 s. What will be his displacement at the end of 2 min 15 s ? Show Answer

Q4) The distance travelled by a body is directly proportional to the time taken. Then the speed of the body Show Answer

Q5) A body covers one half of a circular track of radius R. Then the distance and displacement of the body are respectively given as Show Answer

Q6) The numerical ratio of displacement to distance is Show Answer

Q7) The SI unit of retardation is Show Answer

Q8) A car covers the first half of the distance between two places at 60 km/h and the other half at 40 km/h. Then the average speed of the car is Show Answer

Q9) Which of the following decreases in motion along a straight line with constant retardation ? Show Answer

Q10) A body is moved along a straight line by a machine delivering constant power. The distance covered by the body in time t second is directly proportional to Show Answer

Q11) The displacement of a body is given to be proportional to the cube of time elapsed. Then the magnitude of the acceleration of the body is Show Answer

Q12) The area under acceleration-time graph rpresents Show Answer

Q13) A stone dropped from the top of a tower touches the ground in 4 seconds. Then the height of the tower is Show Answer

Q14) A car runs between two stations P and Q. From P to Q, it goes with a speed of 40 km/h and from Q to P it returns with a speed of 30 km/h. Then the average speed of the car between P and Q is Show Answer

Q15) A car travels the first one-third distance at a speed of 10 km/h, the next one-third distance at 20 km/h and the last one-third distance at 60 km/h. Then the average speed of the car is Show Answer

Q16) A boy walks on a straight road from his home to a market 4 km away with a speed of 5 km/h. Finding the market closed, he instantaneously turns and walks back with a speed of 6 km/h. Then the magnitude of average velocity is Show Answer

Q17) A machine is delivering constant power to drive a body along a straight line. What is the relation between the distance travelled by the body against time ? Show Answer

Q18) A body cycling along a circular track of radius 40 m completes half a revolution in 20 sec. Then the average velocity of the boy is Show Answer

Q19) When a body is in equilibrium, its acceleration is Show Answer

Q20) If two bodies are moving with velocity u and v at right angles to each other, then the relative velocity of one body w.r.t another body is Show Answer

Q21) A body travels along a straight road for the first half time with a velocity u and the second half time with a velocity v. Then the average velocity is given by Show Answer

Q22) A man travels along a straight road for he first half length with a velocity u and the second half length with a velocity v. Then the mean velocity is given by Show Answer

Q23) An aeroplane moves 300 m towards north, 400 m towards west and then 1200 m vertically upwards. Then its displacement from the initial position is Show Answer

Q24) Tripling the speed of a motor car multiplies the distance needed for stopping it by Show Answer

Q25) An athlete completes one round of a circular track of radius r in 40 seconds. What will be his displacement at the end of 2 min 20 sec ? Show Answer

Q26) A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second ? Show Answer

Q27) A car accelerates from rest at a constant rate 'A' for some time, after which it decelerates at a constant rate 'B' and comes to rest. If the total time elapsed is T, then the maximum velocity acquired by the car is Show Answer

Q28) A passenger sitting in a moving railway carriage throws a ball vertically upwards. The ball would fall in front of him if the train is moving with a/an Show Answer

Q29) A body cannot have a Show Answer

Q30) A stone is dropped into a well in which the level of water is H below the top of the well. If u is velocity of sound, the time t after which the splash is heard is given by Show Answer

Q31) A ball is projected with a velocity of 50 m/s from ground and another is dropped from a height of 200 m above the ground. When and where they will meet above the ground ? Show Answer

Q32) If the sum of two unit vectors is also a unit vector, then the magnitude of their difference will be Show Answer

Q33) The resultant of two equal forces is double of either of the force. Then the angle between them is Show Answer

Q34) If the horizontal range of projectile is equal to the maximum height reached, then the corresponding angle of projection is given by Show Answer

Q35) The horizontal range for a projectile is the same for angles of projection Show Answer

Q36) When the velocity of a projectile is doubled, then its time of flight Show Answer

Q37) When the maximum range of a projectile is R, then its maximum height is Show Answer

Q38) In case of a projectile, what is the angle between the instantaneous velocity and acceleration at the highest point ? Show Answer

Q39) At what angle to the horizontal should a ball be kicked to attain maximum height ? Show Answer

Q40) Which of the following remains constant for a projectile from the earth ? Show Answer

Q41) Which of the following does not affect the maximum height by a projectile ? Show Answer

Q42) During a projectile motion, the velocity Show Answer

Q43) The path of a projectile as seen from another projectile is a/an Show Answer

Q44) At the top of the trajectory of a particle, the acceleration is Show Answer

Q45) If range is double the maximum height of a projectile, then the angle of projection is given by Show Answer

Q46) The SI unit of centripetal acceleration is Show Answer

Q47) A constant force is acting perpendicular to the velocity of a particle. Which of the following is correct for this situation ? Show Answer

Q48) Velocity vector and acceleration vector in a uniform circular motion are related as : Show Answer

Q49) A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/h. Then the centripetal force is Show Answer

Q50) A particle revolves round a circular path. The centripetal acceleration of the particle is inversely proportional to Show Answer

Q51) When a body moves with a constant speed along a circle Show Answer

Q52) If both the speed and radius of circular path of a revolving body are doubled, the magnitude of centripetal force will be Show Answer

Q53) A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the radius r. Then the speed of the particle is Show Answer

Q54) A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, then the radial force acting on the particle is Show Answer

Q55) A body is revolving with a uniform speed v in a circle of radius r. Then the tangential acceleration is Show Answer

Q56) A particle performing circular motion has Show Answer

Q57) For a particle in circular motion, the centripetal acceleration Show Answer

Q58) The ratio of the angular speeds of minute's hand and hour's hand of a watch is Show Answer

Q59) A particle is moving along a circular path with a uniform speed. Through what angle does its angular velocity change when it completes half of the circular path ? Show Answer

Q60) A stone of mass M is tied to a string of length l and rotated in a circle with a constant speed V. If the string is released, the stone flies Show Answer

Q61) A particle moves along a circular path of radius r with uniform speed v. The angle described by the particle in one second is given by Show Answer

Q62) A particle covers equal distance around a circular path in equal intervals of time. Which of the following quantity connected with the motion of the particle remains constant with time ? Show Answer

Q63) The dimensions of angular acceleration is Show Answer

Q64) The dimensions of angular velocity are identical to that of Show Answer

Q65) Assertion :
The sum of the vectors can be zero.
Reason :
When they are equal and opposite. Show Answer

Q66) Assertion :
A body may have acceleration even when its velocity is zero.
Reason :
Acceleration is rate of change of velocity. Show Answer

Q67) The distance travelled varies with time for four different bodies as shown below. In which case does the acceleration of the body have a minimum value ? Show Answer

Q68) A motor drives a body along a straight line with constant force. The power P developed by the motor must vary with time t as shown in Show Answer

Q69) A ball is thrown vertically upwards. Which of the following graphs represents velocity-time graph of the ball during its flight (ignoring air resistance) ? Show Answer

Q70) Which of the following distance versus time graphs is not possible ? Show Answer

Q71) Which of the following velocity versus time graph is not possible ? Show Answer

Q72) ASSERTION (A) : Solar eclipse occurs once every 18 month.
REASON (R) : The angular diameter of the sun as seen from the earth is the same as the angular diameter of the moon. Show Answer

Q73) ASSERTION (A) : A person standing on a platform revolving with a constant angular velocity can decrease his angular velocity by lowering his stretch hands.
REASON (R) : If there are no torques acting on a system, its momentum is conserved. Show Answer

Q74) If the earth moves round the sun in a circular orbit of radius 150,000,000 km with an angular velocity of about 0.01745 rad/day. Its linear speed in km/s is approximately Show Answer

Q75) A slow-running pendulum clock can be speeded up by Show Answer

Q76) A weight suspended from a spring up and down. Which of the following would then be true ?
(I) Its acceleration is zero at the mid-point.
(II) Its acceleration is greatest at the end points.
(III) Velocity is minimum where acceleration is zero.
Select the correct answer from the codes given below : Show Answer

Q77) The height above the ground of a child on a swing varies from 1.00 m at his lowest point to 2.25 m at his highest point. The maximum speed (in m/s) of the child is approximately Show Answer

Q78) Two simple pendulums have the same period of oscillation. The necessary condition for this is Show Answer

Q79) If the length of second's pendulum is increased by 2 %, how many seconds will it lose per day ? Show Answer

Q80) If the length of a simple pendulum is being increased by 4-fold, time period of oscillation will be Show Answer

Q81) A swinging pendulum has its maximum acceleration at Show Answer

Q82) A pendulum beats faster than a standard pendulum. In order to bring it to the standard beat, the length of the pendulum is to be Show Answer

Q83) For a simple pendulum in simple harmonic motion, which of the following statements is/are correct ?
(I) The kinetic energy is maximum at the mean position.
(II) The potential energy is maximum at the mean position.
(III) Acceleration is maximum at the mean position.
Select the correct answer using the code given below : Show Answer