MHT CET · Physics · Wave Optics
The two coherent sources produce interference with intensity ratio 'b'. In the interference pattern, the ratio \(\frac{I_{\text {max }}+I_{\text {min }}}{I_{\text {max }}-I_{\text {min }}}\) will be
- A \(\frac{1+b}{\sqrt{b}}\)
- B \(\frac{1+b}{2 \sqrt{b}}\)
- C \(\frac{2 \sqrt{\mathrm{~b}}}{1+\mathrm{b}}\)
- D \(\frac{2 \sqrt{\mathrm{~b}}}{(1+\mathrm{b})^2}\)
Answer & Solution
Correct Answer
(B) \(\frac{1+b}{2 \sqrt{b}}\)
Step-by-step Solution
Detailed explanation
\( \frac{I_1}{I_2} = b \) \( \frac{I_{\text{max}} + I_{\text{min}}}{I_{\text{max}} - I_{\text{min}}} = \frac{(\sqrt{I_1} + \sqrt{I_2})^2 + (\sqrt{I_1} - \sqrt{I_2})^2}{(\sqrt{I_1} + \sqrt{I_2})^2 - (\sqrt{I_1} - \sqrt{I_2})^2} \)
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