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Assertion: the integrating period of a digital voltmeter is made a whole number of mains periods. Reason: the average of a sinusoid over its own period is zero.

  • 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

Mains hum superimposed on the input averages exactly to nothing over a whole number of its own cycles, so the integrator sees only the wanted signal. This is the entire reason for the twenty millisecond period and the reason given is the correct one.

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