Two particles, carrying charges \( -q \) and \( +q \) and having equal masses \( m \) each, are ...

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Two particles, carrying charges \( -q \) and \( +q \) and having equal masses \( m \) 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.
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