A metallic solid sphere is rotating about its diameter. If the temperature is increased by 200C, the percentage increase in its moment of inertia is(coefficient of linear expansion of metal =10−5per 0C)

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A metallic solid sphere is rotating about its diameter. If the temperature is increased by $20^{0} C,$ the percentage increase in its moment of inertia is(coefficient of linear expansion of metal $= 10^{- 5} per^{0} C$ )

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0.2%

0.1%

0.03%

0.04%

answer is D.

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Detailed Solution

I= M $R^{2}$

$I_{t} = M {(R + R α T)}^{2}$

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