An electric dipole has a fixed dipole moment p, which makes angle θ with respect to x -axis. When subjected to an electric field E_1= E i, it…

An electric dipole has a fixed dipole moment $\displaystyle \overrightarrow{\mathrm{p}}$, which makes angle $\displaystyle \theta$ with respect to $\displaystyle x$-axis. When subjected to an electric field $\displaystyle \overrightarrow{\mathrm{E}}_1=\mathrm{E} \hat{i}$, it experiences a torque $\displaystyle \overrightarrow{\mathrm{T}}_1=\tau \hat{k}$. When subjected to another electric field $\displaystyle \overrightarrow{\mathrm{E}}_2=\sqrt{3} \mathrm{E}_1 \hat{j}$ it experiences a torque $\displaystyle \overrightarrow{\mathrm{T}}_2=-\overrightarrow{\mathrm{T}}_1$. The angle $\displaystyle \theta$ is :