Wave Optics

JEE Main level, single correct, medium

44 of 191

Question 44 of 191

Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is

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Answer: (D) 4:14: 1

Imax⁡Imin⁡=(I1+I2)2(I1−I2)2⇒(4)2(2)2⇒164=4\frac{I_{\max }}{I_{\min }}=\frac{\left(\sqrt{I_1}+\sqrt{I_2}\right)^2}{\left(\sqrt{I_1}-\sqrt{I_2}\right)^2} \Rightarrow \frac{(4)^2}{(2)^2} \Rightarrow \frac{16}{4}=4

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