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Assertion: the potential of an infinite line charge cannot be referred to infinity. Reason: the field of such a line falls as the inverse first power of distance.

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

Answer: D

Integrating an inverse first power field gives a logarithm, which grows without bound, so infinity cannot serve as a reference. Had the field fallen as the inverse square the integral would have converged, as it does for a point charge.

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