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Q.

The temperature of a thin uniform rod increases by Δt. If moment of inertia be I about an axis perpenducular to its length then its moment of inertia increases by

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a

zero

b

2αIΔt

c

αIΔt

d

α²IΔt

answer is C.

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Detailed Solution

Moment of inertia I = KMl²
$\frac{∆ I}{I} = 2 \frac{∆ l}{l} = 2 α ∆ t ∆ I = 2 α I ∆ t$

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