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List-I shows four configurations, each consisting of a pair of ideal electric dipoles. Each dipole has a dipole moment of magnitude p , oriented as marked by arrows in the figures. In all the configurations the dipoles are fixed such that they are at a distance 2 r apart along the x direction. The midpoint of the line joining the two dipoles is X . The possible resultant electric fields E at X are given in List-II. C

Options

  1. AP 3, Q 1, R 2, ~S 4
  2. BP 4, Q 5, R 3, ~S 1
  3. CP 2, Q 1, R 4, ~S 5
  4. DP 2, Q 1, R 3, ~S 5

Correct answer

C. P 2, Q 1, R 4, ~S 5

Step-by-step solution

E_ net = -2 k P r^3 j E_ n e t = -P j 2 ₀ r^3 E _ net =0 2 P i 4 ₀ r ^3 - P j 4 ₀ r ^3 E _ net = 4 kP i r ^3 P 2, Q 1, R 4, ~S 5 Ans. (C)

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