JEE Main 2023PhysicsRotational MotionHardNumerical

JEE Main 2023 — Rotational Motion Question with Solution

JEE Main 2023 (12 Apr Shift 1)

Question

For rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is x5. The value of x is _____.

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

The rotational kinetic energy is given by 

Krot=Iω22=13MR2ω2.

The total kinetic energy is given by 

Ktot=12mv2+13MR2ω2=mR2ω22+13MR2ω2=56MR2ω2

Thus, the ratio is 

KrotKtot=13MR2ω256MR2ω2=25

Comparing with the given value,

x5=25⇒x=2

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About this question

This is a previous-year question from JEE Main 2023, 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.