An electric dipole is placed in uniform electric field as shown in the figure. The dipole is slightly rotated about its centre and released. Select the correct statement

The motion of dipole is oscillatory but not SHM.

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The motion of dipole is SHM.

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The motion of dipole is neither oscillatory nor SHM.

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The motion of dipole is oscillatory.

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Solution

The correct options are
B The motion of dipole is SHM.
D The motion of dipole is oscillatory.

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Q. An electric dipole of momentum

\to p

is placed in a uniform electric field. The dipole is rotated through a very small angle

θ

from equilibrium and is released, find the time period of simple harmonic motion.

An electric dipole of momentum $\to p$ is placed in a uniform electric field. The dipole is rotated through a very small angle from equilibrium and is released. Prove that it executes simple harmonic motion with frequency $f = \frac{1}{2 π} \sqrt{\frac{p E}{I}}$ . Where, $I =$ moment of inertia of the dipole.