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Match List-I with List-II List-I A. Moment of inertia of solid sphere of radius R about any tangent B. Moment of inertia of hollow sphere of radius (R) about any tangent. C. Moment of inertia of circular ring of radius (R) about its diameter. D. Moment of inertia of circular disc of radius (R) about any diameter. List-II I. 5/3 MR² II. 7/5 MR² III. 1/4 MR² IV. 1/2 MR² Choose the correct answer from the options given below (1) A-II, B-I, C-IV, D-III (2) A-I, B-II, C-IV, D-III (3) A-II, B-I, C-III, D-IV (4) A-I, B-II, C-III, D-IV

1. A-II, B-I, C-IV, D-III
2. A-I, B-II, C-IV, D-III
3. A-II, B-I, C-III, D-IV
4. A-I, B-II, C-III, D-IV

Correct answer: A-II, B-I, C-IV, D-III

Solution

The correct option matches the moment of inertia formulas for each shape accurately: the solid sphere about a tangent is 5/3 MR² (A-II), the hollow sphere about a tangent is 7/5 MR² (B-I), the circular ring about its diameter is 1/2 MR² (C-IV), and the circular disc about any diameter is 1/4 MR² (D-III).

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