RE-NEET2026Physics-Rotational Motion

RE-NEET 2026 Physics Moment of Inertia MCQ Question

Type: MCQ-numerical-Hard-Class 11

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere B of radius r < R and mass m < M. Assume that the line joining their centres lies along the horizontal. The moment of inertia of the system calculated about a vertical axis passing through the centre of A is Iₐ and that calculated about a vertical axis passing through the centre of B is Iᵦ. The difference Iₐ - Iᵦ is:

Question diagram
A

(m-M)(R⁺r)²

B

(m-M)(R⁻r)²

C

0

D

(M⁻m)(R⁺r)²

Correct Answer

Option A

Detailed Explanation

The moment of inertia depends on the mass distribution and the distance from the axis. The difference in moments of inertia is due to the different radii and masses of the spheres.

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