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Assertion: the field is normal to an equipotential surface. Reason: no work is done in moving a charge along such a surface.

  • A.the assertion is true but the reason given for it is false
  • B.the assertion is false although the reason offered is a true statement in itself
  • C.both the assertion and the reason are true and the reason explains the assertion
  • D.both the assertion and the reason are true but the reason does not explain the assertion

Answer: C

Correct answer: both the assertion and the reason are true and the reason explains the assertion

Both are true and the reason gives the mechanism. Zero work along the surface means \( \mathbf{E}\cdot d\mathbf{l} = 0 \) for every displacement lying in it, which requires the field to have no component in the surface - that is, to be normal to it everywhere.

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