JEE Main 2022PhysicsRotational MotionEasyMCQ

JEE Main 2022 — Rotational Motion Question with Solution

JEE Main 2022 (29 Jun Shift 1)

Question

A spherical shell of 1 kg mass and radius R is rolling with angular speed ω on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin O is a3R2ω. The value of a will be

 

Choose an option

Show full solutionCorrect option: C
Correct answer
C5

Step-by-step explanation

Angular momentum of a rotating and translating body is given by,

LO=mvR+Iω=mvR+23MR2ω

For rolling, v=ωR

  ⇒LO=mωR21+23=53mωR2

Therefore, the value of a=5.

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About this question

This is a previous-year question from JEE Main 2022, covering the Rotational Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.