Two periodic waves of amplitudes A1 and A2 pass thorough a region. If A1 A2, the difference in the maximum and minimum resultant amplitude possible is

Question

Two periodic waves of amplitudes A1 and A2 pass thorough a region. If A1 > A2, the difference in the maximum and minimum resultant amplitude possible is

KollegeApply · Accepted Answer

2A2 We know resultant amplitude is given by A_{net} = \sqrt{A_1^2 + A_2^2 + 2 A_1 A_2 \cos\phi} For maximum resultant amplitude A_\max = A_1 + A_2 For minimum resultant amplitude A_\min = A_1 - A_2 So, the difference between Amax and Amin is A_\max - A_\min = A_1 + A_2 - A_1 + A_2 = 2 A_2

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