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

Answer: (a). (A) Solid sphere, tangent: 2/5MR² + MR² = 7/5MR² (II). (B) Hollow sphere, tangent: 2/3MR² + MR² = 5/3MR² (I). (C) Ring about diameter: 1/2MR² (IV). (D) Disc about diameter: 1/4MR² (III). So the answer is (a).

Match List-I with List-II Choose the correct answer from the options… | JEE Main 2022 (28 Jun, Shift 1)

Q114JEE Main 2022 · 28 JUN · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Match List-I with List-II

Choose the correct answer from the options given below:

	List-I		List-II
(A)	Moment of inertia of solid sphere of radius R about any tangent.	(I)	$\frac{5}{3}MR^2$
(B)	Moment of inertia of hollow sphere of radius (R) about any tangent.	(II)	$\frac{7}{5}MR^2$
(C)	Moment of inertia of circular ring of radius (R) about its diameter.	(III)	$\frac{1}{4}MR^2$
(D)	Moment of inertia of circular disc of radius (R) about any diameter.	(IV)	$\frac{1}{2}MR^2$

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Answer: (a)

(A) Solid sphere, tangent: $\frac{2}{5}MR^2 + MR^2 = \frac{7}{5}MR^2$ (II).
(B) Hollow sphere, tangent: $\frac{2}{3}MR^2 + MR^2 = \frac{5}{3}MR^2$ (I).
(C) Ring about diameter: $\frac{1}{2}MR^2$ (IV).
(D) Disc about diameter: $\frac{1}{4}MR^2$ (III).
So the answer is (a).

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Moment of Inertia & Radius of Gyration question from JEE Main 2022 (28 Jun, Shift 1)

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