AIIMS2017Physics-Alternating Current

AIIMS 2017 Physics Average and RMS Values Assertion Reason Question

Type: Assertion Reason-conceptual-Medium-Class 12

Assertion: The average value of alternating emf is 63.39% of the peak value. Reason: The rms value of alternating emf is 70.72% of peak value.

A

If both assertion and reason are true and reason is correct explanation of assertion.

B

If both assertion and reason are true and reason is not correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option B

Detailed Explanation

The assertion is true because the average value of an alternating emf (electromotive force) is indeed approximately 63.39% of its peak value, which is derived from the relationship between average and peak values in sinusoidal waveforms. The reason is also true, as the root mean square (rms) value of an alternating emf is approximately 70.72% of the peak value, but it does not explain the assertion since the average and rms values describe different aspects of the waveform. Option A is incorrect because, although both statements are true, the reason does not clarify the assertion. Options C and D are incorrect as both statements are valid.

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