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JEE Main20199 Jan 2019Morning ShiftPhysicsWave OpticsActual

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16 . The intensity of the waves are in the ratio:

Options

  1. A25 : 9
  2. B16 : 9
  3. C5 : 3
  4. D4 : 1

Correct answer

A. 25 : 9

Step-by-step solution

I m a x = I 1 + I 2 2 I m i n = I 1 - I 2 2 ⇒ I m a x I m i n = ( I 1 + I 2 ) 2 ( I 1 - I 2 ) 2 ⇒ 16 1 = ( I 1 + I 2 ) 2 ( I 1 - I 2 ) 2 ⇒ 4 1 = I 1 + I 2 I 1 - I 2 ⇒ I 1 I 2 = 25 9

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