A) \[pE\sin \theta ,\,-pE\cos \theta \]
B) \[pE\sin \theta ,-2\,pE\cos \theta \]
C) \[pE\sin \theta ,-2pE\cos \theta \]
D) \[pE\cos \theta ,-pE\sin \theta \]
Correct Answer: A
Solution :
[a] Here, |
Torque \[\tau =pE\sin \theta \] |
Potential energy of the dipole \[U=-\int_{{}}^{{}}{\tau \,d\theta }\] |
\[=-\int_{\pi /2}^{0}{pE\sin \theta d\theta =pE[\cos \theta -0]}\] |
\[=-pE\cos \theta \] |
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