Question

A dipole of dipole moment 'P' and moment of inertia I is placed in a uniform electric field \(\overrightarrow{E}\). If it is displaced slightly from its stable equilibrium position, the period of oscillation of dipole is

• A. \(\sqrt\frac{PE}{1}\)
• B. \(2\pi\sqrt\frac{1}{PE}\)
• C. \(\frac{1}{2\pi}\sqrt\frac{PE}{1}\)
• D. \(\pi\sqrt\frac{1}{PE}\)

Answer 1

The Correct Option is B

The period of oscillation of a dipole in a uniform electric field is given by the formula: \[ T = 2\pi \sqrt{\frac{I}{PE}} \] Where \(T\) is the period of oscillation, \(I\) is the moment of inertia, \(P\) is the dipole moment, and \(E\) is the electric field. This equation represents simple harmonic motion where the restoring torque is proportional to the angular displacement.

The correct option is (B): \(2\pi\sqrt\frac{1}{PE}\)