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Two coherent monochromatic light beams of amplitude 3 and 5 units are superposed. The maximum and minimum possible intensities in the resulting beams are in the ratio

Options

  1. A4: 2
  2. B16: 1
  3. C8: 2
  4. D4: 2 .

Correct answer

B. 16: 1

Step-by-step solution

It is given that the amplitudes A₁ and A₂ are in the ratio A₁ A₂ = 3 5 After superposition the maximum and minimum intensities will be in the ratio I_ I_ = (A₁+A₂ )^2 (A₁-A₂ )^2 = (3+5)^2 (3-5)^2 = 8^2 (-2)^2 = 64 4 = 16 1

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