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COMEDK2017PhysicsWaves and Sound

Two coherent light beams of intensity I and 4 I are superpose(d) The maximum and minimum possible intensities in the resulting beam are

Options

  1. A9 I and I
  2. B9 I and 3 I
  3. C5 I and I
  4. D5 I and 3 I

Correct answer

A. 9 I and I

Step-by-step solution

Given, intensity of two coherent light beams, I₁=I and I₂=4 I After superposition of two light beams, Maximum intensity, aligned I _ &= ( I ₁ + I ₂ )² &=I₁+I₂+2 I₁ I₂ &=I+4 I+2 I 4 I =9 I aligned Minimum intensity, aligned I_ &= ( I₁ - I₂ )² &=I₁+I₂-2 I₁ I₂ &=I+4 I-2 I 4 I =I aligned

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