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When the temperature of a body increases from t to t + Δt, its moment of inertia increases from I to I + ΔI. The coefficient of linear expansion of the body is α. The ratio 2ΔI/I is equal to(a) Δt/t (b) 2Δt/t (c) α Δt (d) 2α Δt |
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Answer» Correct Answer is: (d) 2α Δt I = ∑mr2 I + ΔI = ∑m[r(1 + α Δt)]2 or I + ΔI = ∑[mr2 (1 + 2α Δt)] = I(1 + 2 Δt) or ΔI/I = 2α Δt. |
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