STANDARDPhysics-Rotational Motion

STANDARD Physics Moment of Inertia MCQ Question

Type: MCQ-conceptual-Medium

The moment of inertia of a solid sphere of mass M and radius R about a tangent to the sphere is

Question diagram
A

2/5 MR²

B

6/5 MR²

C

4/5 MR²

D

7/5 MR²

Correct Answer

Option D

Detailed Explanation

The moment of inertia of the solid sphere about any diameter is (2/5)MR². Using the theorem of parallel axes, the moment of inertia about a tangent is I_tangent = I_diameter + MR² = (2/5)MR² + MR² = (7/5)MR².

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