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Questions  

A point electric dipole of moment p1=(3i^+j^)  is held fixed at the origin. Another point electric dipole of moment p2  held at the point A(+a, 0, 0) will have minimum potential energy, if its orientation is given by the vector

a
3i^+j^
b
i^−3j^
c
23i^−j^
d
i^−23j^

detailed solution

Correct option is C

For minimum P.E on P→  it should be held along the direction ofelectric field at that pointEaxil=+2k(3P)a3  Eequi=kPa3θ=tan−1(EequiEaxial)=kPa32k3Pa3=tan−1(−123)Eequal  is ‘-ve’ due to opposite direction of P∴  direction of dipole 23i−j^

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