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  • A Simple Pendulum oscillating in dir has Period T. The bob of the Pendulum is completely immersed in a non-viscous liquid. The density of the liquid is <img alt="\left(\frac{1}{20}\right)" src="htt

A Simple Pendulum oscillating in dir has Period T. The bob of the Pendulum is completely immersed in a non-viscous liquid. The density of the liquid is \left(\frac{1}{20}\right) th of the material of the bob. If the bob is inside liquid all the time, it's period of oscillation in this liquid

Option: 1

T^{\prime}=\frac{2 \sqrt{5} T}{\sqrt{19}}


Option: 2

T^{\prime}=\frac{3 \sqrt{5} T}{\sqrt{17}}


Option: 3

T^{\prime}=\frac{2 \sqrt{4} T}{\sqrt{11}}


Option: 4

T^{\prime}=\frac{5 \sqrt{2} T}{\sqrt{19}}


Answers (1)

best_answer

T=2 \pi \sqrt{\frac{l}{g}}

For liquid,

$$ g^{\prime}=2\left[1-\frac{\text { pliquid }}{p \text { body }}\right]

$$ \begin{aligned} & g^{\prime}=g\left[1-\frac{1}{20}\right]=\frac{19}{20} g \\ \end{aligned}

$$ \begin{aligned} & \frac{T^{\prime}}{T}=\frac{2 \pi \sqrt{\frac{l}{(19 / 20) g}}}{2 \pi \sqrt{\frac{l}{g}}} \\ & T^{\prime}=\frac{2 \sqrt{5} T}{\sqrt{19}} \end{aligned}

Posted by

Rishabh

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