Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $\frac{I_{m a x} - I_{m i n}}{I_{m a x} + I_{m i n}}$ will be:

Option 1 -

$\frac{\sqrt[]{2 x}}{x + 1}$

Option 2 -

$\frac{\sqrt[]{2 x}}{2 x + 1}$

Option 3 -

$\frac{2 \sqrt[]{2 x}}{2 x + 1}$

Option 4 -

$\frac{2 \sqrt[]{2 x}}{x + 1}$

2 Views | Posted 2 months ago

Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

2 months ago

Correct Option - 3

Detailed Solution:

$\frac{l_{m a x}}{l_{m i n}} = \frac{{(\sqrt[]{\frac{l_{1}}{l_{2}}} + 1)}^{2}}{{(\sqrt[]{\frac{l_{1}}{l_{2}}} - 1)}^{2}} \Rightarrow \frac{l_{m a x} - l_{m i n}}{l_{m a x} + l_{m i n}} = \frac{2 . \sqrt[]{\frac{l_{1}}{l_{2}}}}{\frac{l_{1}}{l_{2}} + 1} = \frac{2 \sqrt[]{2 x}}{2 x + 1}$

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Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $\frac{I_{m a x} - I_{m i n}}{I_{m a x} + I_{m i n}}$ will be:

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Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio I m a x − I m i n I m a x + I m i n will be:

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Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $\frac{I_{m a x} - I_{m i n}}{I_{m a x} + I_{m i n}}$ will be: