Assertion :Average value of ac over a complete cycle is always zero Reason: Avergae value of ac is always defined over half cycle

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Since AC is a sine wave function, its average over a complete cycle comes out to be zero. The first statement is pretty clearly true. If you perform a simple average of a sinusoid over one full cycle it comes out zero. As you observe, it does not make sense to try to average a periodic function over only half of its period, so the second statement does not look correct. If, however, you make an RMS calculation over the half period it will be the correct RMS value. So the second statement is not clearly right or wrong, but rather seems just vague as to what it means.

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Similar questions

Q. Assertion :Average value of ac over a complete cycle is always zero. Reason: Average value of ac is always defined over half cycle.

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Assertion: The mass of Chlorine is 35.5 u

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Assertion (A) Order of the reaction can be zero or fractional.

Reason (R) We cannot determine order from balanced chemical equation.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

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