JEE Main 2023 — Rotational Motion Question with Solution
JEE Main 2023 (06 Apr Shift 2)
Question
A ring and a solid sphere rotating about an axis passing through their centres have same radii of gyration. The axis of rotation is perpendicular to plane of ring. The ratio of radius of ring to that of sphere is . The value of is _____.
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Show full solutionCorrect answer: 5
Step-by-step explanation
The moment of inertia of the ring about an axis perpendicular to the plane of ring is .
The moment of inertia of the sphere is
It is given that
From equation (i)
From the question, it can be written that
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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.