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Ratio of distances of bright fringes of given orders for two wavelengths

The same question, asked 3 times: 10 May 2023 S1*, 11 May 2024 S2*, 14 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S1

    34
    In Young's double slit experiment, the nthn^\text{th} maximum of wavelength λ1\lambda_1 is at a distance of y1y_1 from the central maximum. When the wavelength of the source is changed to λ2\lambda_2, n3th\frac{n}{3}^\text{th} maximum is at a distance of y2y_2 from its central maximum. The ratio y1y2\frac{y_1}{y_2} is

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  2. Question 2

    11 May 2024 S2

    36
    In Young's double slit experiment, the fifth maximum with wavelength 'λ1\lambda_1' is at a distance 'y1y_1' and the same maximum with wavelength 'λ2\lambda_2' is at a distance 'y2y_2' measured from the central bright band. Then y1y2\frac{y_1}{y_2} is equal to [DD and dd are constant]

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  3. Question 3

    14 May 2024 S1

    43
    In Young's double slit experiment, 8th maximum with wavelength 'λ1\lambda_1' is at a distance 'd1d_1' from the central maximum and 6th maximum with wavelength 'λ\lambda' is at a distance 'd2d_2'. Then d2d1\dfrac{d_2}{d_1} is

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