The time period of a simple pendulum of lengt | vedclass

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(C) The effective acceleration $g_{eff}$ of a simple pendulum in an elevator descending with an acceleration $a = \frac{g}{3}$ is given by $g_{eff} =

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$2\pi \sqrt{\frac{3L}{2g}}$

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(C) The effective acceleration $g_{eff}$ of a simple pendulum in an elevator descending with an acceleration $a = \frac{g}{3}$ is given by $g_{eff} = g - a$.Substituting the given values,we get $g_{eff} = g - \frac{g}{3} = \frac{2g}{3}$.The formula for the time period $T$ of a simple pendulum is $T = 2\pi \sqrt{\frac{L}{g_{eff}}}$.Substituting $g_{eff} = \frac{2g}{3}$ into the formula,we get $T = 2\pi \sqrt{\frac{L}{2g/3}} = 2\pi \sqrt{\frac{3L}{2g}}$.

The time period of a simple pendulum of length $L$ as measured in an elevator descending with acceleration $\frac{g}{3}$ is

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