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Separation between same-order bright fringes of two wavelengths

The same question, asked 2 times: 26 Apr 2025 S1*, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    26 Apr 2025 S1

    36
    In Young's double slit experiment, the distance between the slits is 2 mm and the slits are 1 m away, from the screen. Two interference patterns can be obtained on the screen due to light of wavelength ' λ1\lambda_{1} ' and ' λ2\lambda_{2} ' respectively. The separation on the screen between the 3rd 3^{\text{rd~}} order bright fringes on the two interference patterns is (λ2=1.5λ1\lambda_{2}= 1.5\lambda_{1})

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  2. Question 2

    16 Apr 2026 S1

    143
    In Young's double slit experiment, the distance between the slits is 3 mm and the slits are 2m away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength 480 nm and 600 nm respectively. The separation on the screen between the 5th5^{th} order bright fringes on two interference patterns is

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