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A simple pendulum of length \( L \) is placed between the plates of a parallel plate capacitor having electric field \( E \), as shown in figure. Its bob has mass \( \mathrm{m} \) and charge \( \mathrm{q} \).
\( \mathrm{P} \) The"time period of the pendulum is given by :

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[JE Main-2019 (April)]
(1) \( 2 \pi \sqrt{\sqrt{g^{2}+\left(\frac{q E}{m}\right)^{2}}} \)
(2) \( 2 \pi \sqrt{\frac{L}{\left(g+\frac{q E}{m}\right)}} \)
(3) \( 2 \pi \sqrt{\frac{L}{\left(g-\frac{q E}{m}\right)}} \)
(4) \( 2 \pi \sqrt{\sqrt{g^{2}-\frac{q^{2} E^{2}}{m^{2}}}} \)
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