QJEEM21Ph10a0: JEE Main 2021 Physics - Class 11 JEEM21Ph10a0 Solution: Time period of a simple pendulum is T. The time taken to…

Question

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Time period of a simple pendulum is T. The time taken to complete

{5 \over 8}

oscillations starting from mean position is

{\alpha \over \beta }T

. The value of

\alpha

is _________.

Accepted Answer

{5 \over 8}

oscillation =

{1 \over 2}

oscillation +

{1 \over 8}

oscillation

From figure, A to B =

{1 \over 2}

oscillation and B to C is

{1 \over 8}

oscillation.

\therefore

\pi { + \,\theta = \omega t}

\Rightarrow

\pi { + {{\pi{} } \over 6}} = \omega t

\Rightarrow

{{7\pi {} } \over 6} = \left( {{{2\pi {} } \over T}} \right)t

\Rightarrow

t =

{{7T} \over {12}}

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