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Question: A uniform vertical electric field E is established in the space between two large parallel plates. A...

A uniform vertical electric field E is established in the space between two large parallel plates. A small conducting sphere of mass m is suspended in the field from a string of length L. If the sphere is given a + q charge and the lower plate is charged positively, the period of oscillation of this pendulum is-

A

2πLg2\pi\sqrt{\frac{L}{g}}

B

2πLg+(qE/m)2\pi\sqrt{\frac{L}{g + (qE/m)}}

C

2πLg−(qE/m)2\pi\sqrt{\frac{L}{g - (qE/m)}}

D

2πL[g2−(qE/m)2]1/22\pi\sqrt{\frac{L}{\lbrack g^{2} - (qE/m)^{2}\rbrack^{1/2}}}

Answer

2πLg−(qE/m)2\pi\sqrt{\frac{L}{g - (qE/m)}}

Explanation

Solution

T =