If the temperature of a uniform rod is slightly increased by Δt, its moment of inertia I about a perpendicular bisector increase by
Moment of inertia of a uniform rod is

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when the temperature is increased by ∆t then increased length is
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the moment of inertia is
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there is only a slight change in length so a2 (∆T)2 value is very less, so we can ignore this term.
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Hence, the increase in moment of inertia is
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Hence, option C is the correct option.
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