MCQ
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
    $T\,{\sin ^{ - 1}}\left( {\frac{\beta }{\alpha }} \right)$
  • $\frac{T}{2\pi }\,{\sin ^{ - 1}}\left( {\frac{\alpha }{\beta }} \right)$
  • D
    $\frac{T}{\pi }\,{\sin ^{ - 1}}\left( {\frac{\alpha }{\beta }} \right)$

Answer

Correct option: C.
$\frac{T}{2\pi }\,{\sin ^{ - 1}}\left( {\frac{\alpha }{\beta }} \right)$
c

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