Question

Two coherent light sources having intensity in the ratio 2:1 produce an interference pattern. Then the value of \( \frac{I_{\text{max}} - I_{\text{min}}}{I_{\text{max}} + I_{\text{min}}} \) will be:

• A. \( \frac{2\sqrt{2x}}{x+1} \)
• B. \( \frac{\sqrt{2x}}{2x+1} \)
• C. \( \frac{2\sqrt{2x}}{2x+1} \)
• D. \( \frac{\sqrt{2x}}{x+1} \)

Hint:

For interference patterns, the intensity ratio is related to the maximum and minimum intensities by the equation \( \frac{I_{\text{max}} - I_{\text{min}}}{I_{\text{max}} + I_{\text{min}}} \).

Answer 1

The Correct Option is C

For coherent light sources, the intensity ratio gives the relationship between the maximum and minimum intensities. Using the formula for interference and the given intensity ratio, we get the value of \( \frac{I_{\text{max}} - I_{\text{min}}}{I_{\text{max}} + I_{\text{min}}} \) as \( \frac{2\sqrt{2x}}{2x+1} \). Thus, the correct answer is option (3).