question_answer

An electric dipole of moment p is placed in an electric field of intensity 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

A) \[pE\,\sin \theta ,\,-pE\,\cos \theta \]

B) \[pE\,\sin \theta ,\,-2pE\,\cos \theta \]

C) \[pE\,\sin \theta ,\,2pE\,\cos \theta \]

D) \[pE\,\cos \theta ,\,-pE\,\sin \theta \]