A simple pendulum consists of a small sphere of mass \( m \) \( \mathrm{P} \) suspended by a thr...

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A simple pendulum consists of a small sphere of mass \( m \)
\( \mathrm{P} \) suspended by a thread of length I. The sphere carries a

W positive charge \( q \). The pendulum is placed in a uniform electric field of strength \( E \) directed vertically upwards. With what period will the pendulum oscillate if the electrostatic force acting on the sphere is less that the gravitational force?
Assume the oscillations to be small
(A) \( T=2 \pi\left(\frac{I}{g}\right)^{1 / 2} \)
(B) \( T=2 \pi\left(\frac{m l}{q E}\right)^{1 / 2} \)
(C) \( T=2 \pi\left[\frac{l}{\left(g-\frac{q E}{m}\right)}\right]^{1 / 2} \)
(D) \( T=2 \pi\left[\frac{l}{\left(g+\frac{q E}{m}\right)}\right]^{1 / 2} \)
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