An electric dipole has a fixed dipole moment $\overrightarrow{p}$, which makes angle θ with respect to x-axis. When subjected to an electric field $\overrightarrow{E_1}= E \hat i$, it experiences a torque $\overrightarrow{T_1}= \tau \hat {k}$. When subjected to another electric field $\overrightarrow{E_2}= \sqrt 3 E_1 \hat j$ it experiences a torque $\overrightarrow{T_2}= -\overrightarrow{T_1}$. The angle $\theta$ is :

Question

$\begin{array}{1 1} (1)\;30^{\circ} \\ (2)\; 45^{\circ} \\(3)\; 60^{\circ}\\ (4) 90^{\circ} \end{array}$