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Question

# Two coherent waves of amplitude A1 and A2 superpose and the ratio of the maximum intensity to minimum intensity is α. What is the value of A1A2?

A
1+α1α
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B
1α1+α
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C
α1α+1
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D
α+1α1
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Solution

## The correct option is D √α+1√α−1Let Imax and Imin are the maximum and minimum resultant intensities, respectively, then, ImaxImin=α We know that, I∝A2 ⇒AmaxAmin=√ImaxImin=√α We know that, Amax=A1+A2 and Amin=A1−A2 ⇒√α=A1+A2A1−A2 after doing componendo-dividendo on both sides, we get, A1A2=√α+1√α−1 Hence, (D) is the correct answer.

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