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In Young's double-slit experiment, the ratio of intensities of a bright band and a dark band is 16 : 1 . The ratio of amplitudes of interfering waves will be

Options

  1. A16 : 1
  2. B4 : 1
  3. C3 : 1
  4. D5 : 3

Correct answer

D. 5 : 3

Step-by-step solution

Since I m a x . I m i n . = 16 1 ( I 1 + I 2 ) 2 ( I 1 − I 2 ) 2 = 16 1 I 1 + I 2 = 4 I 1 − 4 I 2 A 1 + A 2 = 4 A 1 − 4 A 2 3 A 1 = 5 A 2 ⇒ A 1 A 2 = 5 3

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