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 [2025]

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Solution

Q.
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 [2025]

1 8 : 1

2 9 : 1

3 3 : 1

4 4 : 1

Ans.
(4)

$\frac{I_{m a x}}{I_{m i n}} = \frac{{(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2}}{{(\sqrt{I_{1}} - \sqrt{I_{2}})}^{2}}$

$= \frac{{(1 + 3)}^{2}}{{(1 - 3)}^{2}} = \frac{16}{4} = 4$

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