A) must be defined as \[-\int_{P}^{Q}{\overrightarrow{E}\,.\,d\,\overrightarrow{l}}\]
B) is zero
C) can have a non-zero value
D) Both (a) and (b) are correct
Correct Answer: D
Solution :
(d) Both (a) and (b) are correct Work done to move a unit charge along an equipotential surface from P to O, \[W=-\int_{P}^{Q}{\overrightarrow{E}\,.\,d\,\overrightarrow{l}}\] On equipotential surface \[\overrightarrow{E}\,\,\forall \,\,d\overrightarrow{l}\] \[W=-\int_{P}^{Q}{E\left( dl \right)}\,\cos \,90{}^\circ =0\]
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