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Question
Two particles, carrying charges −q and +q and and of mass m each, are fixed at the ends of a light rod of length a to form a dipole. The rod is clamped at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is slightly tilted and then released. Neglecting gravity, find the time period of small oscillations.
Solution
Consider the rod to be a simple pendulum
Time period of a simple pendulum,
(where l = length and a' = acceleration)
Now
∴ The time period,
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