A given charge is situated at a certain distance from an electric dipole in the end-on position experiences a force `F` If the distance of the charge is doubled, the force acting on the charge will be

Options

A. `2 F`
B. `(F)/(2)`
C. `(F)/(4)`
D. `(F)/(8)`

Answer

4

Explanation

`E = (1)/(4 pi in_(0)) .(2 p)/(r^(3))`
`F = qE i.e. F prop (1)/(r^(3)) , F' prop (1)/((2r)^(3))`
`(F')/(F) = (1)/(8) rArr F' = (F)/(8)`