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Time period of a simple pendulum is $T$. The angular displacement for amplitude is $\beta$. How much time the bob of pendulum will take to move from equilibrium position $O$ to $A$, making an angle $\alpha$ at the support
  • A$T\,{\sin ^{ - 1}}\left( {\frac{\alpha }{\beta }} \right)$
  • B$T\,{\sin ^{ - 1}}\left( {\frac{\beta }{\alpha }} \right)$
  • C$\frac{T}{2\pi }\,{\sin ^{ - 1}}\left( {\frac{\alpha }{\beta }} \right)$
  • D$\frac{T}{\pi }\,{\sin ^{ - 1}}\left( {\frac{\alpha }{\beta }} \right)$
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