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In biprism experiment, if the 5th bright band with wavelength 'λ1' coincides with the 6th dark band with wavelength 'λ2' then the ratio (λ2λ1) is ______

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Question

In biprism experiment, if the 5th bright band with wavelength 'λ1' coincides with the 6th dark band with wavelength 'λ2' then the ratio `(lambda_2/lambda_1)` is ______ 

Options

  • `9/7`

  • `11/10`

  • `7/9`

  • `10/11`

MCQ
Fill in the Blanks
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Solution

In the biprism experiment, if the 5th bright band with wavelength 'λ1' coincides with the 6th dark band with wavelength 'λ2' then the ratio `(lambda_2/lambda_1)` is `underline(10/11)`.

Explanation:

`y_5 = (5lambda_1D)/d`

`y_6^' = (11lambda_2D)/(2d)`

`5lambda_1 = (11lambda_2)/2`

`lambda_1/lambda_2 = 11/10`

∴ `lambda_2/lambda_1 = 10/11`

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