Question

Assertion :Ratio of maximum intensity and minimum intensity in interference is 25 : 1. Hence amplitude ratio of two waves should be 3 : 2. Reason: ImaxImin=(A1+A2A1−A2)2

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionAssume there are two waves of amplitudes A1 and A2 with no loss of generality assume A1>A2.These two waves upon being superimposed would give us waves:Maximum amplitude = A1+A2Minimum amplitude = A1−A2Since intensity is proportional to the square of amplitude.ImaxImin=(A1+A2A1−A2)2Upon substituting this ratio = 25 and solving,We get, A1A2=32Hence both assertion and reason are true, reason is the correct explanation,Hence option A.

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