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Physics · PYQ NEET UG 2016(2)

हिन्दी

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio \( \frac{I_{\max} - I_{\min}}{I_{\max} + I_{\min}} \) will be

  1. \( \frac{2\sqrt{n}}{(n+1)^2} \)
  2. \( \frac{\sqrt{n}}{n+1} \)
  3. \( \frac{2\sqrt{n}}{n+1} \)
  4. \( \frac{\sqrt{n}}{(n+1)^2} \)

Correct answer · Option 3

\( \frac{2\sqrt{n}}{n+1} \)

Explanation

Given \( \frac{I_1}{I_2} = n \), so \( \frac{a_1}{a_2} = \sqrt{n} \). \( \frac{I_{\max} - I_{\min}}{I_{\max} + I_{\min}} = \frac{(a_1+a_2)^2 - (a_1-a_2)^2}{(a_1+a_2)^2 + (a_1-a_2)^2} = \frac{4a_1a_2}{2(a_1^2+a_2^2)} = \frac{2\frac{a_1}{a_2}}{1 + (a_1/a_2)^2} = \frac{2\sqrt{n}}{n+1} \).
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