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  4. A simple pendulum has time period T. The bob is given negative charge and surface below it is given positive charge. The new time period will be:

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Q. A simple pendulum has time period $T$. The bob is given negative charge and surface below it is given positive charge. The new time period will be:

AFMCAFMC 2004

Solution:

Opposite charges attract each other. For SHM a restoring force acts on the bob this restoring force is accompanied by electrical force. Hence, restoring force changes from $-m g \sin \theta$ to $-m g' \sin \theta$
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where $g'=g+\frac{F_{e}}{M}$.
Also $ T=2 \pi \sqrt{\frac{\text { displacement }}{\text { acceleration }}}$
Since, acceleration increases time period decreases.