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Question

The electric force on a point charge situated on the axis of a short dipole is F. If the charge is shifted along the axis to double the distance, the electron force acting will be:

A
4F
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B
F2
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C
F4
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D
F8
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Solution

The correct option is D F8
Consider the D.M. is P.
Let charge q is placed at the distance r from the dipole.
Electric field due to the dipole at an axial point is

E=14πε02pr3

Force on a charge q placed at distance r is

F=qE=14πε02pqr3

If we doubled the distance

F=14πε02pq(2r)3

F=14πε02pqr3(18)

F=F8

Hence,option D is the correct answer.

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