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Assertion: a wave is totally reflected from a perfect conductor. Reason: the tangential electric field must vanish at its surface.

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

Answer: B

The only way to satisfy the boundary condition is to add a reflected wave whose tangential field cancels the incident one at the surface, and that requires a coefficient of minus one. The condition and the total reflection are two aspects of the same fact.

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