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MHT CET20226 Aug 2022Morning ShiftPhysicsWave OpticsActual

Two waves having amplitudes in the ratio 5:1 produce interference. The ratio of the maximum to minimum intensity is

Options

  1. A6: 4
  2. B25: 1
  3. C3: 2
  4. D9: 4

Correct answer

D. 9: 4

Step-by-step solution

Let the amplitudes be 5 x and x respectively. The resultant waves will have maximum amplitude when both are in phase Therefore, amplitudes should add up to 5 x+x=6 x During destructive interference, the waves are out of phase Therefore, the resultant amplitude is x-5 x=-4 x Maximum intensity ( maximum amplitude )^2=36 x^2 Minimum intensity ( minimum amplitude )^2=16 x^2 The ratio of the maximum to minimum intensity = 36 16 = 9 4

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