An electric dipole is placed at the origin `O` and is directed along the `x`-axis. At a point `P`, far away from the dipole, the electric field is parallel to `y`-axis. `OP` makes an angle `theta` with the `x`-axis then

Options

A. `tan theta = sqrt(3)`
B. `tan theta = sqrt(2)`
C. `theta = 45^(@)`
D. `tan theta = (1)/(sqrt(2))`

Answer

2

Explanation

`alpha + theta = 90^(@)`
`alpha = 90^(@) - theta `
`tan alpha = tan(90 - theta)`
`(1)/(2) tan theta = cot theta `
`tan^(2) theta = 2 rArr tan theta = sqrt(2)`