NEET2023Physics-Rotational Motion

NEET 2023 Physics Moment of Inertia MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The ratio of radius of gyration of a solid sphere of mass M and radius R about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is :

A

5 : 3

B

2 : 5

C

5 : 2

D

3 : 5

Correct Answer

Option A

Detailed Explanation

The radius of gyration k for a solid sphere is k = √(2/5)R, and for a hollow sphere is k = √(2/3)R. The ratio is √(2/5)R / √(2/3)R = √(3/5) = 5:3.

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