Assertion: The electric field due to dipole on its axis line at a distance `r` is `E`. Then electric field due to the same dipole on the equatorial line and at the same distance will be `(E )/(2)`
Reason: Electric field due to dipole varies inversely as the square of distance.

Options

A. Both assertin and reason are true and reason is the correct explanation of assertion
B. Both assertion and reason are true but reason is not the correct explanation of assertion
C. Assertion is true but reason is flase
D. Both assertion and reason are false

Answer

C

Explanation

We know that for an electric dipole
`E_(axial)=(1)/(4piepsilon_(0))(2P)/(R^(3))`
and `E_(equatorial)=(1)/(4piepsilon_(0))(P)/(r^(3))`
Hence from Eqs (i) and (ii) we get
`(E_(axil))/(2)=E_(equatorial)`
Hence, `E_(equatorial)=E//2`
Reason is flase as electric field due to dipole varies inversely as cube of distance i.e
`Eprop(1)/(r^(3))`