If E_a be the electric field strength of a short dipole at a point on its axial line and E_e that on the equatorial line at the same distance, then

Given data: Dipole 

Concept used: Electric dipole

Detailed solution:

Expression for electric field strength at a point on the axial line is 

$E_a=\frac{1}{4\pi {\in }_0}\frac{2\overrightarrow{p} }{r^3}$

Expression for electric field strength at a point on the equatorial line is

$E_e=\frac{1}{4\pi {\in }_0}\frac{\overrightarrow{p} }{r^3}$

From the above two equations

$E_a=2E_e$