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Q.

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

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a

3i^+j^

b

i^−3j^

c

23i^−j^

d

i^−23j^

answer is C.

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Detailed Solution

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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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