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Ratio of wavelengths when a bright fringe of one coincides with a dark fringe of the other

The same question, asked 4 times: 3 May 2023 S1, 10 May 2023 S1*, 11 May 2024 S1*, 20 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    3 May 2023 S1

    18
    In an interference experiment, the nnth bright fringe for light of wavelength λ1\lambda_1 coincides with the mmth dark fringe for light of wavelength λ2\lambda_2. The ratio λ1λ2\frac{\lambda_1}{\lambda_2} is

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  2. Question 2

    10 May 2023 S1

    16
    In biprism experiment, if 5th5^\text{th} bright band with wavelength λ1\lambda_1 coincides with 6th6^\text{th} dark band with wavelength λ2\lambda_2, then the ratio λ1/λ2\lambda_1/\lambda_2 is

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  3. Question 3

    11 May 2024 S1

    34
    In biprism experiment, if 5th bright band with wavelength λ1\lambda_1 coincides with 6th dark band with wavelength λ2\lambda_2 then the ratio λ2λ1\frac{\lambda_2}{\lambda_1} is

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  4. Question 4

    20 Apr 2026 S1

    142
    In an interference experiment, the mthm^{th} bright fringe for light of wavelength λ1\lambda_1 coincides with the nthn^{th} dark fringe for light of wavelength λ2\lambda_2 . The ratio λ2λ1\dfrac{\lambda_2}{\lambda_1} is

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