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The locus of the points (in the xy-plane...

The locus of the points (in the `xy`-plane) where the electric field due to a dipole (dipole axis is along `x`-axis and its equatorial is along `y`-axis) is perpendicular to its axis, is

A

straight line perpendicular to the axis

B

circle

C

parabola

D

straigth line having inclination `theta=tan^(-1)sqrt(2)` with the axis

Text Solution

Verified by Experts

The correct Answer is:
D
For the given points
`theta=alpha=pi//2impliesalpha=pi//2-theta`
As `tanalpha=(tantheta)/2` (Refer Notes)
`impliestan((pi)/2-theta)=(tantheta)/2`
`impliestantheta=sqrt(2)`
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