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. if both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
C. if Assertion is true, but the Reason is false.
D. if both Assertion and Reason are false

Answer

c

Explanation

We know that for an electric dipole,
`E_("axial")=(1)/(4 piepsilon_(0))((2p)/(r^(3)))`
and `E_("equatioinal")= (1)/(4pi epsilon_(0))(P/(r^(3)))`
Hence, from Eq.(1) and (2)
`(E_("axial"))/(2)=E_("equational")`
Hence, `E_("equatioinal")=(E )/(2)`
Reason is false as electric field due to dipole varies inversely as cube of distance i.e., `E prop (1)/(r^(3))`.