The time period of a simple pendulum measu

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The time period of a simple pendulum measured inside a stationary lift is found to be $T$. If the lift starts accelerating upwards with an acceleration $g/3$, the time period is

A

$T\sqrt 3 $

B

$T\sqrt 3 /2$

C

$T/\sqrt 3 $

D

$T/3$

The time period of a simple pendulum measured inside a stationary lift is found to be $T$. If the lift starts accelerating upwards with an acceleration $g/3$, the time period is

$T = 2\pi \sqrt {\frac{l}{g}} $ and $T' = 2\pi \sqrt {\frac{l}{{4g/3}}} $

$[As\;g' = g + a = g + \frac{g}{3} = \frac{{4g}}{3}$]

$T' = \frac{{\sqrt 3 }}{2}T$