JEE Main 2026 — Rotational Motion Question with Solution
JEE Main 2026 (24 January Shift 2)
Question
A uniform solid cylinder of length and radius has moment of inertia about its axis equal to . A small co-centric cylinder of length and radius carved from this cylinder has moment of inertia about its axis equals to . The ratio is .
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Show full solutionCorrect answer: 162
Correct answer
162
Step-by-step explanation
For solid cylinder:
Large cylinder: mass , so
Small cylinder (carved out): length L/2, radius R/3, mass
Large cylinder: mass , so
Small cylinder (carved out): length L/2, radius R/3, mass
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This is a previous-year question from JEE Main 2026, 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.