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 :
