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JEE Rotational Motion PYQs with Solutions

32 previous year questions from Rotational Motion (JEE Main & Advanced NSEP) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

32 questionsNSEPAnswers + solutions

About Rotational Motion PYQs

Rotational Motion has 32 previous year questions in the Quantrex Academy JEE Main & Advanced NSEP bank. The 32 questions in this list come from Olympiad workbook (32). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Rotational Motion questions with solutions

1

A sphere of radius R made up of Styrofoam (light polystyrene material) has a cavity of radius R / 2 . The centre of the cavity is situated at a distance of R / 2 from the centre

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2

A ball A of mass 1 kg moving at a speed of 5 ~m / s strikes tangentially another ball B initially at rest. The ball A then moves at right angles to its initial direction at a

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3

Consider two point masses m_1 and m_2 connected by a light rigid rod of length r_0 . The moment of inertia of the system about an axis passing through their centre of mass and

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4

Two point masses m_1 and m_2 are connected at the ends of a light rigid rod of length l . The moment of inertia of the system about an axis through their centre of mass and

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5

A particle at rest explodes into two fragments of masses m_1 and m_2 (m_1>m_2) which move apart with nonzero velocities. If λ_1 and λ_2 are their de Broglie wavelengths

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6

A ball of mass m hits directly another ball of mass M at rest and is brought to rest by the impact. One third of the kinetic energy of the ball is lost due to the collision. The

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7

Two particles A and B of equal masses have velocities v_A =2 + and v_B =- +2 . The particles move with accelerations a_A =-4 - and a_B =-2 +3 respectively. The centre of mass of

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8

Rocket fuel is capable of giving an exhaust velocity of V_ rel =2.4 ~km / s in the absence of any external forces. The fuel required per kg of the payload to provide an exhaust

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9

Two bodies of equal masses moving with equal speeds make a perfectly inelastic collision. If the speed after the collision is reduced to half, the angle between their velocities

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10

A uniform solid drum of radius R and mass M rolls without slipping down a plane inclined at an angle θ . Its acceleration along the plane is

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11

Two balls A and B moving in the same direction collide. The mass of B is p times that of A. Before the collision the velocity of A was q times that of B . After the collision A

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12

A uniform circular disc rotating at a fixed angular velocity ω about an axis normal to its plane and passing through its centre has kinetic energy E . If the same disc rotates

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13

A string of length l , tied to the top of a pole, carries a ball at its other end as shown. On giving the ball a single hand blow perpendicular to the string, it acquires an

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14

A large horizontal uniform disc can rotate freely about a rigid vertical axis passing through its centre O . A man stands at rest at the edge of the disc at a point A . The mass

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15

A star undergoes a supernova explosion. Just after the explosion, the material left behind forms a uniform sphere of radius 8000 km with a rotation period of 15 hours. This

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16

A ball of mass m_1 travels horizontally along the x -axis in the positive direction with an initial speed of v_0 . It collides with another ball of mass m_2 that is originally at

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17

A solid hemisphere is cemented on the flat surface of a solid cylinder of same radius R and same material. The composite body is rotating about the axis of the cylinder of length

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18

A body of mass 10 kg at rest explodes into two fragments of masses 3 kg and 7 kg . If the total kinetic energy of two pieces after explosion is 1680 J , the magnitude of their

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19

Two masses move on a collision path as shown. Before the collision the object with mass 2M moves with a speed v making an angle θ= ^ -1 (3)/(5) to the x -axis while the object

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20

A thin uniform metallic rod of length L and radius R rotates with an angular velocity ω in a horizontal plane about a vertical axis passing through one of its ends. The density

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21

A ball A (mass m_1 ) moving with velocity v experiences an elastic collision with another stationary ball B ( mass m_2 ). Each ball flies apart symmetrically relative to the

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22

A solid cylinder of mass m is rolling without slipping on a rough horizontal surface, under the action of a horizontal force F such that the line of action of F passes through

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23

A circular disc of radius R=10 ~cm is uniformly rolling on a horizontal surface with a velocity v=4 ~ms^ -1 of centre of mass without slipping, the time taken by the disc to have

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24

In a certain machine two steel plates are separated by a hardened steel cylindrical roller (see fig). In operation, the plates move back and forth horizontally, perpendicular to

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25

A thin uniform rod of mass M is bent in to four adjacent semicircles of radius of curvature R lying in same plane. Moment of inertia of the bent rod about an axis through one end

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26

A number n of identical balls, each of mass m and radius r , are stringed like beads at random and at rest along a smooth, rigid horizontal rod of length L mounted between

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27

A small block A of mass 2 kg is attached to a spring of force constant 1200 Nm^ -1 , and rests on a smooth horizontal surface at x=0 as shown in figure. A second block B of mass 1

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28

A long uniform rod of length L and mass M is pivoted vertically on a horizontal, friction less pivot at its lower end. The rod is released from rest in its vertical position OA

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29

A can is a hollow cylinder of radius R and height h . Its ends are sealed with circular sheets of the same material. The can is made of thin sheet metal of areal mass density σ

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30

A lawn roller is a solid cylinder of mass M and radius R . As shown in the figure, it is pulled at its center by a horizontal force F and rolls without slipping on a horizontal

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31

A block B of mass 0.5 kg moving, on a horizontal frictionless table at 2.0 ~ms^ -1 , collides with a massless pan P (at origin O ) and sticks to it. The pan is connected at the

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32

A deuteron of mass M moving at speed v collides elastically with an α - particle of mass 2 M , initially at rest. The deuteron is scattered through 90^ ^ ^ ∘ from initial

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Main Rotational Motion list

The larger JEE Rotational Motion list is under Physics (632 questions).

Related JEE NSEP chapters

Rotational Motion in other exams