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Two charges of each magnitude 0 . 01 C and separated by a distance of 0 . 4 mm constitute an electric dipole. If the dipole is placed in an uniform electric field E → of 10 dyne · C - 1 making 30 ∘ angle with E → , the magnitude of torque acting on dipole is:

Options

  1. A4 . 0 × 10 - 10   N   m
  2. B1 . 0 × 10 - 8   N   m
  3. C1 . 5 × 10 - 9   N   m
  4. D2 . 0 × 10 - 10   N   m

Correct answer

D. 2 . 0 × 10 - 10   N   m

Step-by-step solution

The formula to calculate the dipole moment is given by p ⇀ = q d ⇀       . . . 1 Substitute the values of the known parameters into equation (1) to calculate the dipole moment. p ⇀ = 0 . 01   C × 0 . 4   mm × 1   m 10 3   mm =   4 . 0 × 10 - 6   C · m The formula to calculate the torque on the dipole in the electric field is given by | τ → | = | p → × E → |       . . . 2 Substitute the value

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