A uniform disc of mass $M$ and radius $R$ is suspended in vertical plane from a point on its periphery. Its time period of oscillation is ........
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(d)

It is the case of a physical pendulum.

$T=2 \pi \sqrt{\frac{I_{\text {c.o.m. }}}{m g L_{\text {com }}}}$

$I_{\text {com }}=\frac{M R^2}{2}+M R^2=\frac{3}{2} M R^2$

$L_{\text {com }}=R$

$T=2 \pi \sqrt{\frac{3 R}{2 g}}$

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