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Assertion: the power density from a point source falls as the inverse square of distance. Reason: the field amplitude falls as the inverse first power.

  • 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

Power density goes as the square of the field, so an amplitude falling as the first power gives a density falling as the square. Both follow from the energy spreading over a sphere of growing area, so the reason is a legitimate explanation.

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