An electric dipole has a fixed dipole moment\[\vec{p},\], which makes angle \[\theta \] with respect to x-axis. When subjected to an electric\[{{\vec{E}}_{1}}=E\hat{i},\] field It experiences a torque \[\vec{T}=\tau \hat{k}.\] When subjected to another electric field \[{{\vec{E}}_{2}}=\sqrt{3}{{E}_{1}}\hat{j}\] it experiences torque\[{{\vec{T}}_{2}}=-{{\vec{T}}_{1}}.\] The angle \[\theta \] is: [JEE Main 2017]