An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I . If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is

Question

An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I . If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is, pE I 1/2, pE I 3/2, I pE 1/2, p IE 1/2

MARKS App · Accepted Answer

τ = P × E = P E sin θ .... (i) - P E sin θ = I α [ I is the moment of inertia and α the angular acceleration] Since displacement is small sin θ = ∼ θ ∴ I α = - PE θ ⇒ α = - PE I θ The angular frequency of oscillation is given by ω = PE I The potential energy is lowest when the dipole moment is aligned with the field and highest when the two are antialigned.

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