A particle of mass \( m \) and charge \( q \) is attached to a light rod of length \( L \). The ...

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A particle of mass \( m \) and charge \( q \) is attached to a light rod of length \( L \). The rod can rotate freely in the plane of paper about the other end, which is hinged at \( \mathrm{P} \). The entire assembly lies in a uniform electric field \( \mathrm{E} \) also acting in the plane of paper as shown. The rod is released from rest when it makes an angle \( \theta \) with the electric field direction. Determine the speed of the particle when the rod is parallel to the electric field.
\[
\text { - (A*) }\left(\frac{2 \mathrm{qEL}(1-\cos \theta)}{\mathrm{m}}\right)^{1 / 2}
\]
(B) \( \left(\frac{2 q E L(1-\sin \theta)}{m}\right)^{1 / 2} \)
- (C) \( \left(\frac{\mathrm{qEL}(1-\cos \theta)}{2 \mathrm{~m}}\right)^{1 / 2} \)
(D) \( \left(\frac{2 q E L \cos \theta}{m}\right)^{1 / 2} \)
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