Two monochromatic light beams have intensities in the ratio 1:9. An...

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

Options

A $8: 1$
B $9: 1$
C $3: 1$
D $4: 1$

Correct answer

D. $4: 1$

Step-by-step solution

\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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