JEE Main · 2022 · 28 Jun 2022 · Shift 1 · Rotational Mechanics

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Match List-I with List-II:
List-I: (A) M.I. of a solid sphere of radius R about any tangent (B) M.I. of a hollow sphere of radius R about any tangent (C) M.I. of a circular ring of radius R about its diameter (D) M.I. of a 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:

(A)A-II, B-I, C-IV, D-III✓ Correct
(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)

Solution

Moments of inertia: solid sphere about a tangent

= \frac{7}{5} M R^{2}

, hollow sphere about a tangent

= \frac{5}{3} M R^{2}

, ring about a diameter

= \frac{1}{2} M R^{2}

, disc about a diameter

= \frac{1}{4} M R^{2}

. With List-II I

= \frac{5}{3} M R^{2}

, II

= \frac{7}{5} M R^{2}

, III

= \frac{1}{4} M R^{2}

, IV

= \frac{1}{2} M R^{2}

, the match is A-II, B-I, C-IV, D-III.

JEE Main · 2022 · 28 Jun 2022 · Shift 1 · Single correct option

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JEE Main · 2022 · 28 Jun 2022 · Shift 1 · Rotational Mechanics

Solution

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