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JEE Main 2019 (9 Apr, Shift 1) · Simple Pendulum

Simple Pendulum question from JEE Main 2019 (9 Apr, Shift 1)

Q75JEE Main 2019 · 9 APR · SHIFT 1Medium

Simple Pendulum

A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 1/16 th of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is:

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Answer: (c)

$g_{eff} = g\left(1 - \frac{\sigma}{\rho}\right) = g\left(1 - \frac{1}{16}\right) = \frac{15g}{16}$ .
$T' = T\sqrt{\frac{g}{g_{eff}}} = T\sqrt{\frac{16}{15}}$ .
So the answer is (c) $4T\sqrt{\frac{1}{15}}$ .

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