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  4. A simple pendulum of time period T is suspended above a large horizontal metal sheet with uniformly distributed positive charge. If the bob is given some negative charge, its time period of oscillation will be

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Q. A simple pendulum of time period $T$ is suspended above a large horizontal metal sheet with uniformly distributed positive charge. If the bob is given some negative charge, its time period of oscillation will be

Electric Charges and Fields

Solution:

Effective weight $m g^{\prime}=m g+q E$
or $g^{\prime}=\left(g+\frac{q E}{m}\right)$
$T=2 \pi \sqrt{\frac{l}{g}}$
As $g$ increases, time period decreases.
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