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An electric dipole is formed by two equal and opposite charges q with separation d . The charges have same mass m. It is kept in a uniform electric field E . If it is slightly rotated from its equilibrium orientation, then its angular frequency ω is:

Options

  1. A2 q E m d
  2. B2 q E m d
  3. Cq E 2 m d
  4. Dq E m d

Correct answer

B. 2 q E m d

Step-by-step solution

τ = p E sin ⁡ θ For small angle, τ = p E   θ α = τ I = p E I   θ ∵   α   = ω 2 θ Angular frequency = p E I = q d   E m d 2 4 + m d 2 4 = 2 q E m d

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