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MHT CET202617 April 2026Evening ShiftPhysicsWave OpticsActual

In Young's experiment, the intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources is 36 : 1 . The ratio of the amplitudes of the two individual sources will be

Options

  1. A4 : 7
  2. B5 : 7
  3. C7 : 5
  4. D7 : 4

Correct answer

C. 7 : 5

Step-by-step solution

Let the amplitudes of the two sources be A₁ and A₂ . The maximum intensity I_ max is proportional to (A₁ + A₂)^2 and the minimum intensity I_ min is proportional to (A₁ - A₂)^2 . Given I_ max I_ min = 36 1 (A₁ + A₂)^2 (A₁ - A₂)^2 = 36 1 Taking the square root of both sides: A₁ + A₂ A₁ - A₂ = 6 1 A₁ + A₂ = 6A₁ - 6A₂ 5A₁ = 7A₂ A₁ A₂ = 7 5 The ratio of the amplitudes of the two individual sources is 7 : 5 . Answer: 7 : 5

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