If the magnitude of intensity of electric field at a distance x on axial line and at a distance y on equatorial line on a given dipole are equal, then x : y is

Options

A. `root(3)(2) :1`
B. `1:2`
C. `1:sqrt(2)`
D. `1:1`

Answer

A

Explanation

`root(3)(2):1`
`E_(1) = (2krho)/x^(3) (therefore x gt gt a)`
`E_(2) = (kp)/y^(3)` magnitude `(therefore y gt gt a)`
But `E_(1) =E_(2)`
`therefore (2kp)/x^(3) = (kp)/y^(3)`
`therefore 2 = x^(3)/y^(3)`
`therefore 2^(1//3) = x/y`