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Motion in Two Dimensions — NEET UG Physics PYQs

227 previous year questions from Motion in Two Dimensions with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

227 questionsPhysicsSolutions on every page
1

A particle moving with uniform speed in a circular path maintains:

NEET 2024 Solution View → 2

A bob is whirled in a horizontal plane by means of a string with an initial speed of rpm. The tension in the string is T . If speed becomes 2 while keeping the same radius, the ten

NEET 2024 Solution View → 3

A particle is executing uniform circular motion with velocity v and acceleration a . Which of the following is true?

NEET 2023 Solution View → 4

A ball is projected from point A with velocity 20 ~m ~s ⁻¹ at an angle 60^ to the horizontal direction. At the highest point B of the path (as shown in figure), the velocity v ~m ~

NEET 2023 Solution View → 5

A bullet is fired from a gun at the speed of   280   m   s - 1 in the direction 30 ° above the horizontal. The maximum height attained by the bullet is ( g = 9

NEET 2023 Solution View → 6

A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m ^2 about an axis passing through its centre. Starting from rest, its angular velocity after 3 ~s is

NEET 2023 Solution View → 7

A ball is projected with a velocity, 10   m   s - 1 , at an angle of 60 ° with the vertical direction. Its speed at the highest point of its trajectory will be

NEET 2022 Solution View → 8

A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ above the horizontal. The maximum height attained by the ball during its motion is (g=10 ~m / s ^2 )

NEET 2022 Solution View → 9

A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the same speed at an angle θ to

NEET 2021 Solution View → 10

A ball is thrown vertically downward with a velocity of 20   m   s - 1 from the top of a tower. It hits the ground after some time with a velocity of 80   m   s

NEET 2020 Solution View → 11

A person sitting in the ground floor of a building notices through the window, of height 1 . 5   m , a ball dropped from the roof of the building crosses the window in 0 . 1 &

NEET 2020 Solution View → 12

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

AIIMS 2019 Solution View → 13

A projectile has a maximum range of 16 ~km . At the highest point of its motion, it explodes into two equal masses. One mass drops vertically downwards. The horizontal distance cov

AIIMS 2019 Solution View → 14

A disc of radius 2 ~m is rotating with angular is to be put on the disc. Friction coefficient between disc and block is _ K =0.3 , then find the maximum distance from axis where th

AIIMS 2019 Solution View → 15

A projectile of mass 1 kg is projected with a speed of 10 ~m / s at an angle of 60^ from the horizontal when projectile is at its highest point, its magnitude of angular momentum (

JIPMER 2019 Solution View → 16

A particle is projected at an angle of 30^ from the horizontal with a speed of 10 ~m / s on the earth. It's time of flight, range, velocity of impact are respectively T , R , V . I

JIPMER 2019 Solution View → 17

If object starts from rest and covers angle of 60 rad in 10 sec in circular motion magnitude of angular acceleration will be

JIPMER 2019 Solution View → 18

If three objects are thrown with velocity 2 g H 3 , 2 gH , g H 3 , then find the ratio of their maximum heights.

JIPMER 2019 Solution View → 19

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 ~m apart and of same height of 200 ~m with the same velocity of 25 ~m /

NEET 2019 Solution View → 20

The speed of a swimmer in still water is 20   m   s - 1 . The speed of river water is 10   m   s - 1 and is flowing due east. If he is standing on the south ban

NEET 2019 Solution View → 21

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60 ° with horizontal, it can travel a distance x 1 along the plane. But, when the incli

NEET 2019 Solution View → 22

Two particles A and B are moving in uniform circular motion in concentric circles of radii r A and r B with speed v A and v B , respectively. Their time period of rotation is the s

NEET 2019 Solution View → 23

A particle starting from rest, moves in a circle of radius ' r '. It attains a velocity of v ₀ ~m / s in the n ^ th round. Its angular acceleration will be

NEET 2019 Solution View → 24

A disc of radius 2 ~m is rotating with angular is to be put on the disc. Friction coefficient between disc and block is _ K =0.3 , then find the maximum distance from axis where th

NEET 2019 Solution View → 25

A projectile has a maximum range of 16 ~km . At the highest point of its motion, it explodes into two equal masses. One mass drops vertically downwards. The horizontal distance cov

NEET 2019 Solution View → 26

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

NEET 2019 Solution View → 27

If three objects are thrown with velocity 2 g H 3 , 2 gH , g H 3 , then find the ratio of their maximum heights.

NEET 2019 Solution View → 28

If object starts from rest and covers angle of 60 rad in 10 sec in circular motion magnitude of angular acceleration will be

NEET 2019 Solution View → 29

A projectile of mass 1 kg is projected with a speed of 10 ~m / s at an angle of 60^ from the horizontal when projectile is at its highest point, its magnitude of angular momentum (

NEET 2019 Solution View → 30

A particle is projected at an angle of 30^ from the horizontal with a speed of 10 ~m / s on the earth. It's time of flight, range, velocity of impact are respectively T , R , V . I

NEET 2019 Solution View → 31

Assertion : For angular projection, when angle of projection = ⁻¹(1) , the horizontal range is four times the maximum height. Reason : The horizontal range of projectile is directl

AIIMS 2018 Solution View → 32

A particle is projected from the ground with an initial speed of v at an angle with horizontal. The average velocity of the particle between its point of projection and highest poi

AIIMS 2018 Solution View → 33

Assertion : For a projectile the time of flight of a body becomes n times the original value if its speed is made n times. Reason : This is due to the range of the projectile which

AIIMS 2018 Solution View → 34

What is the range of a projectile thrown with velocity 98 ~m / s with angle 30^ from horizontal ?

JIPMER 2018 Solution View → 35

Assertion : For a projectile the time of flight of a body becomes n times the original value if its speed is made n times. Reason : This is due to the range of the projectile which

NEET 2018 Solution View → 36

Assertion : For angular projection, when angle of projection = ⁻¹(1) , the horizontal range is four times the maximum height. Reason : The horizontal range of projectile is directl

NEET 2018 Solution View → 37

A particle is projected from the ground with an initial speed of v at an angle with horizontal. The average velocity of the particle between its point of projection and highest poi

NEET 2018 Solution View → 38

What is the range of a projectile thrown with velocity 98 ~m / s with angle 30^ from horizontal ?

NEET 2018 Solution View → 39

A projectile is given an initial velocity of i +2 j . The cartesian equation of its path is (Take g=10 ~m ~s ⁻² )

AIIMS 2017 Solution View → 40

A wheel starts rotating from rest at time t=0 with a angular acceleration of 50 radians / s ^2 . The angular acceleration ( ) decreases to zero value after 5 seconds. During this i

AIIMS 2017 Solution View → 41

The x and y coordinates of a particle moving in a plane are given by x(t)=a (p t) and y(t)=b (p t) where a, b( a) and p are positive constants of appropriate dimensions and t is ti

JIPMER 2017 Solution View → 42

A wheel starts rotating from rest at time t=0 with a angular acceleration of 50 radians / s ^2 . The angular acceleration ( ) decreases to zero value after 5 seconds. During this i

NEET 2017 Solution View → 43

A projectile is given an initial velocity of i +2 j . The cartesian equation of its path is (Take g=10 ~m ~s ⁻² )

NEET 2017 Solution View → 44

The x and y coordinates of a particle moving in a plane are given by x(t)=a (p t) and y(t)=b (p t) where a, b( a) and p are positive constants of appropriate dimensions and t is ti

NEET 2017 Solution View → 45

A stone projected with a velocity u at an angle with the horizontal reaches maximum height H₁ . When it is projected with velocity u at an angle ( 2 - ) with the horizontal, it rea

JIPMER 2016 Solution View → 46

A body is whirled in a horizontal circle of radius 25 cm . It has an angular velocity of 13 rad / s . What is its linear velocity at any point on circular path?

JIPMER 2016 Solution View → 47

A stone projected with a velocity u at an angle with the horizontal reaches maximum height H₁ . When it is projected with velocity u at an angle ( 2 - ) with the horizontal, it rea

NEET 2016 Solution View → 48

A body is whirled in a horizontal circle of radius 25 cm . It has an angular velocity of 13 rad / s . What is its linear velocity at any point on circular path?

NEET 2016 Solution View → 49

A string 0.5 ~m long is used to whirl a 1 ~kg stone in a vertical circle at a uniform velocity of 5 ~m ~s ⁻¹ . What is the tension in the string when the stone is at the top of the

AIIMS 2015 Solution View → 50

The radii of circular paths of two particles of same mass are in ratio 6: 8 then what will be velocities ratio if they have a constant centripetal force?

AIIMS 2015 Solution View → 51

What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes an angle 2 with the horizontal?

JIPMER 2015 Solution View → 52

One end of a massless spring of constant 100 ~N / m and natural length 0.5 m is fixed and the other end is connected to a particle of mass 0.5 kg lying on a frictionless horizontal

JIPMER 2015 Solution View → 53

A projectile is fired with a velocity u at angle with the ground surface. During the motion at any time it is making an angle with the ground surface. The speed of particle at this

JIPMER 2015 Solution View → 54

Two stones of masses m and 2 m are whirled in horizontal circles, the heavier one in radius r 2 and the lighter one in radius r . The tangential speed of lighter stone is n times t

NEET 2015 Solution View → 55

The radii of circular paths of two particles of same mass are in ratio 6: 8 then what will be velocities ratio if they have a constant centripetal force?

NEET 2015 Solution View → 56

A string 0.5 ~m long is used to whirl a 1 ~kg stone in a vertical circle at a uniform velocity of 5 ~m ~s ⁻¹ . What is the tension in the string when the stone is at the top of the

NEET 2015 Solution View → 57

A projectile is fired with a velocity u at angle with the ground surface. During the motion at any time it is making an angle with the ground surface. The speed of particle at this

NEET 2015 Solution View → 58

One end of a massless spring of constant 100 ~N / m and natural length 0.5 m is fixed and the other end is connected to a particle of mass 0.5 kg lying on a frictionless horizontal

NEET 2015 Solution View → 59

What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes an angle 2 with the horizontal?

NEET 2015 Solution View → 60

An arrow is projected into air. Its time of flight is 5 ~s and range 200 ~m . What is the maximum height reached by it? (Take g=10 ~m ~s ⁻² )

AIIMS 2014 Solution View → 61

A projectile is fired from the surface of the earth with a velocity of 5   m   s - 1 and angle θ with the horizontal. Another projectile fired from another planet wi

NEET 2014 Solution View → 62

An arrow is projected into air. Its time of flight is 5 ~s and range 200 ~m . What is the maximum height reached by it? (Take g=10 ~m ~s ⁻² )

NEET 2014 Solution View → 63

A particle is projected from the ground with an initial speed of ' v ' at angle with horizontal. The average velocity of the particle between its point of projection and height poi

AIIMS 2013 Solution View → 64

A ball of mass m is tied up with string and rotated along a horizontal circle of radius r . At an instant, its velocity is v , and tension in string is T , the force required for c

AIIMS 2013 Solution View → 65

A body is thrown with a velocity of 9.8 ~m / s making an angle of 30^ with the horizontal. It will hit the ground after a time

JIPMER 2013 Solution View → 66

The velocity of a projectile at the initial point A is (2 i +3 j ) m / s . Its velocity (in m / s ) at point B is

NEET 2013 Solution View → 67

A ball of mass m is tied up with string and rotated along a horizontal circle of radius r . At an instant, its velocity is v , and tension in string is T , the force required for c

NEET 2013 Solution View → 68

A particle is projected from the ground with an initial speed of ' v ' at angle with horizontal. The average velocity of the particle between its point of projection and height poi

NEET 2013 Solution View → 69

A body is thrown with a velocity of 9.8 ~m / s making an angle of 30^ with the horizontal. It will hit the ground after a time

NEET 2013 Solution View → 70

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is

NEET 2012 Solution View → 71

Given, =2 k and r =2 i +2 j . Find the linear velocity.

AIIMS 2011 Solution View → 72

Velocity-time curve for a body projected vertically upwards is

JIPMER 2011 Solution View → 73

A particle moves in a circle of radius 5 ~cm with constant speed and time period 0.2 s . The acceleration of the particle is

NEET 2011 Solution View → 74

A missile is fired for maximum range with a initial velocity of 20 ~m / s . If g=10 ~m / s ^2 , the range of the missile is

NEET 2011 Solution View → 75

A projectile is fired at an angle of 45^ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection is

NEET 2011 Solution View → 76

Given, =2 k and r =2 i +2 j . Find the linear velocity.

NEET 2011 Solution View → 77

Assertion : In javelin throw, the athlete throws the projectile at an angle slightly more than 45^ . Reason : The maximum range does not depend upon angle of projection.

AIIMS 2010 Solution View → 78

Two projectiles of same mass have their maximum kinetic energies in ratio 4: 1 and ratio of their maximum heights is also 4: 1 then what is the ratio of their ranges ?

AIIMS 2010 Solution View → 79

A particle has initial velocity (3 i +4 j ) and has acceleration (0.1 i +0.3 j ) . Its speed after 10 ~s is

NEET 2010 Solution View → 80

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

NEET 2010 Solution View → 81

Assertion : In javelin throw, the athlete throws the projectile at an angle slightly more than 45^ . Reason : The maximum range does not depend upon angle of projection.

NEET 2010 Solution View → 82

Two projectiles of same mass have their maximum kinetic energies in ratio 4: 1 and ratio of their maximum heights is also 4: 1 then what is the ratio of their ranges ?

NEET 2010 Solution View → 83

A particle of mass (m ) moves with constant speed along a circular path of radius (r ) under the action of force (F ). Its speed is

AIIMS 2008 Solution View → 84

Assertion : When the velocity of projection of a body is made (n ) times, its time of flight becomes (n ) times. Reason : Range of projectile does not depend on the initial velocit

AIIMS 2008 Solution View → 85

A projectile is thrown in the upward direction making an angle of 60^ with the horizontal direction with a velocity of 147 ~ms ⁻¹ . Then the time after which its inclination with t

JIPMER 2008 Solution View → 86

A particle of mass (m ) moves with constant speed along a circular path of radius (r ) under the action of force (F ). Its speed is

NEET 2008 Solution View → 87

Assertion : When the velocity of projection of a body is made (n ) times, its time of flight becomes (n ) times. Reason : Range of projectile does not depend on the initial velocit

NEET 2008 Solution View → 88

The direction of the angular velocity vector is along

AIIMS 2007 Solution View → 89

A ball is thrown vertically upward. It has a speed of 10 ~m / s when it has reached one-half of its maximum height. How high does the ball rise? (Take, g=10 ~m / s ^2 )

JIPMER 2007 Solution View → 90

A wheel has angular acceleration of 3.0 rad / sec ^2 and an initial angular speed of 2~ rad / sec . In a time of 2 sec it has rotated through an angle (in radian) of:

NEET 2007 Solution View → 91

The direction of the angular velocity vector is along

NEET 2007 Solution View → 92

A river is flowing from west to east with a speed of 5 ~m / min . A man can swim in still water with a velocity 10 ~m / min . In which direction should the man swim so, as to take

JIPMER 2006 Solution View → 93

A car runs at a constant speed on a circular track of radius 100 ~m , taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respe

NEET 2006 Solution View → 94

For angles of projection of projectile at angle (45^ - ) and (45^ + ) , the horizontal range described by the projectile are in the ratio of:

NEET 2006 Solution View → 95

The maximum range of a gun on horizontal terrain is 16 km , if g=10 ~m / s ^2 . What must be the muzzle velocity of the shell?

JIPMER 2005 Solution View → 96

A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolutions in 44 seconds, what is the magnitude and

NEET 2005 Solution View → 97

Two boys are standing at the ends A and B of a ground where AB =a . The boy at B starts running in a direction perpendicular to AB with velocity v₁ . The boy at A starts running si

NEET 2005 Solution View → 98

The circular motion of a particle with constant speed is:

NEET 2005 Solution View → 99

The direction of the angular velocity vector is along

AIIMS 2004 Solution View → 100

The earth of mass =6 10²⁴ ~kg revolves around the sun with an angular velocity of 2 10⁻⁷ rad / s in a circular orbit of radius 1.5 10^8 ~km . The force exerted by the sun on earth

JIPMER 2004 Solution View → 101

A stone is thrown with an initial speed of 4.9 ~m / s from a bridge in vertically upward direction. It falls down in water after 2 sec . The height of bridge is

JIPMER 2004 Solution View → 102

The direction of the angular velocity vector is along

NEET 2004 Solution View → 103

A particle moves along a circle ( 20 ) m with constant tangential acceleration. If the velocity of the particle is 80 ~m / s at the end of the second revolution after after motion

NEET 2003 Solution View → 104

At the uppermost point of a projectile, its velocity and acceleration are at an angle of

AIIMS 2002 Solution View → 105

A particle (a) is dropped from a height and another particle (b) is projected in the horizontal direction with a speed of 5 ~ms ⁻¹ from the same height, then the correct statement

NEET 2002 Solution View → 106

At the uppermost point of a projectile, its velocity and acceleration are at an angle of

NEET 2002 Solution View → 107

A particle is revolving in a circle of radius R . If the force acting on it is inversely proportional to R , then the time period is proportional to

AIIMS 2001 Solution View → 108

Assertion : Centripetal force does no work. Reason : Force and displacement are perpendicular to each other.

AIIMS 2001 Solution View → 109

Assertion : Work done in uniform circular motion is zero. Reason : Force is always directed along displacement.

AIIMS 2001 Solution View → 110

A particle is revolving in a circle of radius R . If the force acting on it is inversely proportional to R , then the time period is proportional to

NEET 2001 Solution View → 111

Assertion : Work done in uniform circular motion is zero. Reason : Force is always directed along displacement.

NEET 2001 Solution View → 112

Assertion : Centripetal force does no work. Reason : Force and displacement are perpendicular to each other.

NEET 2001 Solution View → 113

A particle is projected up from a point at an angle with the horizontal direction. At any time t , if p is the linear momentum, y is the vertical displacement, x is horizontal disp

NEET Solution View → 114

Two trains, which are moving along different tracks in opposite directions towards each other, are put on the same track due to a mistake. Their drivers, on noticing the mistake, s

NEET Solution View → 115

A ball is thrown horizontally from a height with a certain initial velocity at time t=0 . The ball bounces repeatedly from the ground with the coefficient of restitution less than

NEET Solution View → 116

Three vectors P → , Q → and R → are shown in the figure. Let, S be any point on the vector R → . The distance between the points P and S is b R → . The general relation among vecto

NEET Solution View → 117

Two balls A and B are projected from the same position with horizontal velocity 20 m s - 1 and 5 m s - 1 as shown. The separation between these two bodies at the moment their veloc

NEET Solution View → 118

A particle is projected up from a point at an angle with the horizontal direction. At any time t , if p is the linear momentum, y is the vertical displacement, x is horizontal disp

NEET Solution View → 119

In case of projectile motion, which one of the following figures represent variation of horizontal component of velocity ( u _ x ) with time t ? (assume that air resistance is negl

NEET Solution View → 120

Assertion (A) The velocity of a projectile at a point on its trajectory is equal to the slope at that point. Reason (R) The velocity vector at a point always along the tangent to t

NEET Solution View →
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