A solid body rotates about a fixed axis such that its angular velocity depends on \( \theta \) a....

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A solid body rotates about a fixed axis such that its
\( \mathrm{P} \)
angular velocity depends on \( \theta \) as \( \omega=k \theta^{-1} \) where \( k \) is
W
a positive constants. At \( t=0, \theta=0 \), then time dependence of \( \theta \) is given as
(1) \( \theta=k t \)
(2) \( \theta=2 k t \)
(3) \( \theta=\sqrt{k t} \)
(4) \( \theta=\sqrt{2 k t} \)


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