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 figure. The resultant electric field at a point \( x \) is making an angle of \( 60^\circ \) with the line joining points \( O \) and \( x \). The ratio of the dipole moments \( \frac{p_2}{p_1} \) is ______.
