The magnitude of electric field intensity at point `B(2,0,0)` due to dipole of dipole moment, `vec(p)=hat(i)+sqrt(3)hat(j)` kept at origin is (assume that the point `B` is at large distance from the dipole and `k=(1)/(4pi epsilon_(0)))`

Options

A. `(sqrt(13)k)/(8)`
B. `(sqrt(13)k)/(4)`
C. `(sqrt(7)k)/(8)`
D. `(sqrt(7)k)/(4)`

Answer

C

Explanation

The dipole is inclined at an angle `tan^(-1)(sqrt(3))= 60^(@)` to `x`-axis whereas the given point line on x-axis. Also, `p=2`
`E=(kp)/(r^(3))sqrt(1+3cos^(2)theta)=k(sqrt(7))/(8)`