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An electric dipole of mass m, charge q, and length (l ) is placed in a uniform electric field ( E = E ₀ i ). When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations will be:

Options

  1. A( 1 2 m l 2 q E₀ )
  2. B(2 ~m l qE ₀ )
  3. C( 1 2 2 ~m l qE ₀ )
  4. D(2 ~m l 2 qE ₀ )

Correct answer

D. (2 ~m l 2 qE ₀ )

Step-by-step solution

=P E₀ If is small aligned & =- (P E₀ ) I & =m ( l 2 )^2 2= m l^2 2 T & =2 m l^2 2 P E₀ =2 m l^2 2 q / E₀ T & =2 m l 2 q E₀ aligned

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