Electrostatics: JEE Main 2017 Physics question

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