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Time Period Independent of Amplitude

If a positive...

Question

If a positively charged pendulum is oscillating in a uniform electric field as shown in Figure. Its
time period of SHM as compared to that when it was uncharged.

A

Will increase

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B

Will decrease

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C

Will not change

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D

Will first increase then decrease

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Solution

The correct option is C Will increase
The Time Period of pendulum, T= $2 π \frac{\sqrt{l}}{\sqrt{g_{e f f}}}$
where $g_{e f f} = g - \frac{q E}{m}$
when E comes to in picture then $g_{e f f}$ decreases . Therefore, Time period increases.
Hence, Option A is answer.

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