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When the temperature of a body increases from t to t + $∆$ t, its moment of inertia increases from I to I + $∆$ l. The coefficient of linear expansion of the body is α. The ratio $∆$ I/I is

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∆t/t

2∆t/t

α ∆t

2α∆t

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detailed solution

Correct option is D

from I=MR2,ΔlI=2×ΔRR,ΔII=2αΔT

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When the temperature of a body increases from t to t + ∆t, its moment of inertia increases from I to I + ∆l. The coefficient of linear expansion of the body is α. The ratio ∆I/I is

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When the temperature of a body increases from t to t + $∆$ t, its moment of inertia increases from I to I + $∆$ l. The coefficient of linear expansion of the body is α. The ratio $∆$ I/I is