MHT CET 2025 Physics question

The moment of inertia of a solid sphere of mass 'm' and radius 'R' about its diametric axis is 'I'. Its moment of inertia about a tangent in the plane is

(A)2.5 I
(B)3.0 I
(C)3.5 ICorrect
(D)4 I

Answer: (C)

Solution

For a solid sphere about a diameter . A tangent is parallel to a diameter at distance R, so by the parallel-axis theorem I_t=I+mR^2=\dfrac25mR^2+mR^2=\dfrac75mR^2. Expressed in terms of I:

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Question ID VK-102641