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WBJEE · Physics · Wave Optics

In Young's double slit experiment with a monochromatic light, maximum intensity is 4 times the minimum intensity in the interference pattern. What is the ratio of the intensities of the two interfering waves?

  1. A \(1 / 9\)
  2. B \(1 / 3\)
  3. C \(1 / 16\)
  4. D \(1 / 2\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1 / 9\)

Step-by-step Solution

Detailed explanation

\(\left(\sqrt{I_1}+\sqrt{I_2}\right)^2=4\left(\sqrt{I_1}-\sqrt{I_2}\right)^2\) \(\sqrt{l_1}+\sqrt{I_2}=2\left(\sqrt{l_1}-\sqrt{I_2}\right), 3 \sqrt{I_2}=\sqrt{I_1}, \frac{l_2}{I_1}=\frac{1}{9}\)