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The two coherent sources with intensity ratio β produce interference. The fringe visibility will be

Options

  1. A2 β 1 + β
  2. B2 β
  3. C2 1 + β
  4. Dβ 1 + β

Correct answer

A. 2 β 1 + β

Step-by-step solution

We know that : Fringe visibility = I m a x - I m i n I m a x + I m i n β = a 1 a 2 Substituting the values from question: = a 1 + a 2 2 − a 1 − a 2 2 a 1 + a 2 2 + a 1 − a 2 2 = 4 a 1 a 2 2 a 1 2 + a 2 2 = 2 a 1 a 2 a 1 a 2 2 + 1 = 2 β β + 1

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