Choose the correct answer from the options given below: List-I List-II (a) MI of the rod (length L, Mass M, about an axis ⊥ to the rod passing through the midpoint) (i) 8ML²/3 (b) MI of the rod (length L, Mass 2M, about an axis ⊥ to the rod passing through one of its end) (ii) ML²/3 (c) MI of the rod (length 2L, Mass M, about an axis ⊥ to the rod passing through its midpoint) (iii) ML²/12 (d) MI of the rod (Length 2L, Mass 2M, about an axis ⊥ to the rod passing through one of its end) (iv) 2ML²/3 (a) (a)-(ii), (b)-(iii), (c)-(i), (d)-(iv) (b) (a)-(ii), (b)-(i), (c)-(iii), (d)-(iv) (c) (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i) (d) (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

Answer: (c). (a) (ML²)/(12) (iii). (b) ((2M)L²)/(3) = (2ML²)/(3) (iv). (c) (M(2L)²)/(12) = ML²/3 (ii). (d) ((2M)(2L)²)/(3) = (8ML²)/(3) (i). So the answer is (c).

Choose the correct answer from the options given below: List-I… | JEE Main 2021 (27 Jul, Shift 1)

Q130JEE Main 2021 · 27 JUL · SHIFT 1Medium

Moment of Inertia & Radius of Gyration

Choose the correct answer from the options given below:

List-I	List-II
(a) MI of the rod (length L, Mass M, about an axis $\perp$ to the rod passing through the midpoint)	(i) $8ML^2/3$
(b) MI of the rod (length L, Mass 2M, about an axis $\perp$ to the rod passing through one of its end)	(ii) $ML^2/3$
(c) MI of the rod (length 2L, Mass M, about an axis $\perp$ to the rod passing through its midpoint)	(iii) $ML^2/12$
(d) MI of the rod (Length 2L, Mass 2M, about an axis $\perp$ to the rod passing through one of its end)	(iv) $2ML^2/3$

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Answer: (c)

(a) $\frac{ML^2}{12}$ (iii).
(b) $\frac{(2M)L^2}{3} = \frac{2ML^2}{3}$ (iv).
(c) $\frac{M(2L)^2}{12} = \frac{ML^2}{3}$ (ii).
(d) $\frac{(2M)(2L)^2}{3} = \frac{8ML^2}{3}$ (i).
So the answer is (c).

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Moment of Inertia & Radius of Gyration question from JEE Main 2021 (27 Jul, Shift 1)

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