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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+A2A1A2)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 Assertion
Assume 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+A2
  • Minimum amplitude = A1A2
Since intensity is proportional to the square of amplitude.
ImaxImin=(A1+A2A1A2)2
Upon substituting this ratio = 25 and solving,
We get, A1A2=32
Hence both assertion and reason are true, reason is the correct explanation,
Hence option A.

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