A solid conducting sphere of radius $R_1$ is surrounded by another concentric hollow conducting sphere of radius $R_2$. The capacitance of this assembly is proportional to
==>$ C \propto \frac{{{R_1}{R_2}}}{{({R_2} - {R_1})}}$
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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 $\theta = 90^o$ , the torque and the potential energy of the dipole will respectively be
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