An electric dipole has a fixed dipole moment

Question:

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

  1. $60^{\circ}$

  2. $90^{\circ}$

  3. $30^{\circ}$

  4. $45^{\circ}$


Correct Option: 1

Solution:

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