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NEET 2023 · Simple Pendulum

Simple Pendulum question from NEET 2023

Q47NEET 2023Easy

Simple Pendulum

A simple pendulum oscillating in air has a period of $\sqrt{3}\text{ s}$ . If it is completely immersed in non- viscous liquid, having density $\left(\frac{1}{4}\right)$ th of the material of the bob, the new period will be :-

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Answer: (c)

In a liquid: $g_{eff} = g\left(1 - \frac{\sigma}{\rho}\right) = g\left(1 - \frac{1}{4}\right) = \frac{3g}{4}$ .
$T' = \sqrt{3}\cdot\sqrt{\frac{4}{3}} = 2\text{ s}$
So the answer is (c) $2\text{ s}$ .

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