Two short electric dipoles A and B having dipole moment p_1 and p_2 respectively are placed with their axis mutually perpendicular as shown in the…

Two short electric dipoles $\displaystyle A$ and $\displaystyle B$ having dipole moment $\displaystyle \mathrm{p}_1$ and $\displaystyle \mathrm{p}_2$ respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric field at a point $\displaystyle x$ is making an angle of $\displaystyle 60^{\circ}$ with the line joining points O and $\displaystyle x$. The ratio of the dipole moments $\displaystyle \mathrm{p}_2 / \mathrm{p}_1$ is $\displaystyle \_\_\_\_$.