AP EAMCET · PHYSICS · Wave Optics
Two coherent light sources having intensity in the ratio \(2 \mathrm{x}\) produce an interference pattern. Then the value of \(\frac{I_{\max }-I_{\min }}{I_{\max }+I_{\min }}\) will be
- A \(\frac{2 \sqrt{2 x}}{x+1}\)
- B \(\frac{\sqrt{2 x}}{2 x+1}\)
- C \(\frac{2 \sqrt{2 x}}{2 x+1}\)
- D \(\frac{\sqrt{2 x}}{x+1}\)
Answer & Solution
Correct Answer
(C) \(\frac{2 \sqrt{2 x}}{2 x+1}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \frac{I_1}{I_2}=2 x \\ & I_{\max }=\left(\sqrt{I_1}+\sqrt{I_2}\right)^2 \\ & I_{\min }=\left(\sqrt{I_1}-\sqrt{I_2}\right)^2 \\ & \frac{I_{\max }-I_{\min }}{I_{\max }+I_{\min…
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