JEE Main 2026 — Rotational Motion Question with Solution
JEE Main 2026 (02 April Shift 2)
Question
Moment of inertia about an axis for a rod of mass kg and length m is same as that of a solid sphere of mass of kg and radius about an axis parallel to axis with separation of m as shown in figure below. The value of is given as . The value of is _______.
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Show full solutionCorrect answer: 15
Correct answer
15
Step-by-step explanation
Moment of inertia of the rod about axis passing through one of its ends:
Moment of inertia of the solid sphere about the same axis , using the parallel axis theorem :
Mass , radius , distance from the centre of the sphere to axis is .
Equating the two moments of inertia:
Comparing with :
Hence, .
Moment of inertia of the solid sphere about the same axis , using the parallel axis theorem :
Mass , radius , distance from the centre of the sphere to axis is .
Equating the two moments of inertia:
Comparing with :
Hence, .
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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.