A second's pendulum is placed in a space labo | vedclass

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(D) second's pendulum is a pendulum whose time period is $2 \, s$ on the surface of the Earth.In a space laboratory orbiting the Earth,the laboratory

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Infinite

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(D) second's pendulum is a pendulum whose time period is $2 \, s$ on the surface of the Earth.In a space laboratory orbiting the Earth,the laboratory and everything inside it are in a state of weightlessness.This means the effective acceleration due to gravity $(g_{eff})$ inside the orbiting laboratory is $0$.The formula for the time period of a simple pendulum is $T = 2\pi \sqrt{\frac{l}{g_{eff}}}$.Substituting $g_{eff} = 0$ into the formula,we get $T = 2\pi \sqrt{\frac{l}{0}} = \infty$.Therefore,the time period of the pendulum is infinite.

$A$ second's pendulum is placed in a space laboratory orbiting around the earth at a height $3R$,where $R$ is the radius of the earth. The time period of the pendulum is

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