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A beam of light consisting of two wavelength `6300 A^(@)` and `lambda A^(@)` is used to obtain interference frings in a Young's double slit experiment. If `4^(th)` bright fringe of `6300 A^(@)` coincides with `5^(th)` dark fringe of `lambdaA^(@)`, the value of `lambda`(in`A^(@)`) is

A

`5200`

B

`4800`

C

`6200`

D

`5600`

Text Solution

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To solve the problem, we need to analyze the conditions given for the Young's double slit experiment with two different wavelengths of light. ### Step-by-Step Solution: 1. **Identify the Given Information:** - Wavelength 1, \( \lambda_1 = 6300 \, \text{Å} \) - Wavelength 2, \( \lambda_2 = \lambda \, \text{Å} \) - The 4th bright fringe of \( \lambda_1 \) coincides with the 5th dark fringe of \( \lambda_2 \). ...
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