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Moment of inertia of a solid sphere about its
\( \mathrm{P} \) geometrical axis is given by \( \mathrm{I}=\frac{2}{5} \mathrm{MR}^{2} \) where

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\( \mathrm{M} \) is mass and \( \mathrm{R} \) is radius. Find out the time rate by which its moment of inertia is changing keeping density constant at the moment \( \mathrm{R}=1 \mathrm{~m} \), \( M=1 \mathrm{~kg} \) and rate of change of radius w.r.t. time is \( 2 \mathrm{~ms}^{-1} \)
(1) \( 4 \mathrm{~kg} \mathrm{~ms}^{-1} \)
(2) \( 2 \mathrm{~kg} \mathrm{~m}^{2} \mathrm{~s}^{-1} \)
(3) \( 4 \mathrm{~kg} \mathrm{~m}^{2} \mathrm{~s}^{-1} \)
(4) None of these
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