Dipole Questions

An electric dipole of moment $\vec{p}$ is placed in an electric field of intensity $\vec{E}$. The dipole acquires a position such that the axis of the dipole makes an angle $\theta$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $\theta =90^{\circ }$, the torque and the potential energy of the dipole will respectively be:

An electric dipole is placed at an angle of $30^{\circ }$ with an electric field intensity $2\times 10^5\text{N/C}$. It experiences a torque equal to $4\text{N m}$. The charge on the dipole, if the dipole length is $2\text{cm}$, is: