An electric dipole is placed along x-axis at the origin O. A point P is at a distance of 20 cm from this origin such that OP make an angle ` (pi)/3` with the x-axis . If electric field at P makes an angle ` theta ` with x-axis , then the value of ` theta ` is

Options

A. `(pi)/3`
B. `(pi)/3 + tan^(-1)""(sqrt(3))/(2)`
C. `(3pi)/(2)`
D. `tan^(-1)""(sqrt(3))/(2)`

Explanation

If the direction of ` vecE` makes an angle ` phi` with OP and OP makes an angle `alpha ` with the dipole axis then ,
`tan phi =(1)/(2) tan alpha or, tan ""( theta -(pi)/(3))=(1)/(2) tan""(pi)/(3)=(sqrt(3))/(2)`
`:. theta =(pi)/(3)+tan^(-1)""(sqrt(3))/(2)`