An electric dipole of moment $p$ is placed in the position of stable equilibrium in uniform electric field of intensity $E$. It is rotated through an angle $\theta $ from the initial position. The potential energy of electric dipole in the final position is
A$pE\cos \theta $
B$pE\sin \theta $
C$pE(1 - \cos \theta )$
D$ - pE\cos \theta $
AIPMT 1994, Medium
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D$ - pE\cos \theta $
d (d) Potential energy of dipole in electric field $U = - PE\cos \theta $; where $\theta$ is the angle between electric field and dipole.
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An electric dipole moment $\vec p = (2.0\hat i + 3.0\hat j)$ $\mu C. $ $m$ is placed in a uniform electric field $\vec E = (3.0\hat i + 2.0\hat k)$ $×$$10^5$ $N$ $C^{-1}$.
Assertion : If the distance between parallel plates of a capacitor is halved and dielectric constant is three times, then the capacitance becomes $6\,times$.
Reason : Capacity of the capacitor does not depend upon the nature of the material.