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Fringe width or position of the nth bright fringe from wavelength, slit separation and screen distance

This type of question, asked 6 times: 2021 Paper 9, 2021 Paper 23, 2021 Paper 25, 25 Jan 2023, 5 Apr 2024, 28 Jan 2025. All 6 questions below, oldest first.

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  1. Question 1

    2021 Paper 9

    12
    In Young's double slit arrangement, slits are separated by a gap of 0.5 mm0.5\text{ }mm, and the screen is placed at a distance of 0.5 m0.5\text{ }m from them. The distance between the first and the third bright fringe formed when the slits are illuminated by a monochromatic light of 5890Å5890\text{Å} is :-

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  2. Question 2

    2021 Paper 23

    25
    In a Young's double slit experiment, the slits are separated by 0.3 mm0.3\text{ }mm and the screen is 1.5 m1.5\text{ }m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4 cm2.4\text{ }cm. The frequency of light used is ____×1014 Hz\_\_\_\_ \times10^{14}\text{ }Hz.

  3. Question 3

    2021 Paper 25

    3
    In a Young's double slit experiment two slits are separated by 2 mm2\text{ }mm and the screen is placed one meter away. When a light of wavelength 500 nm500\text{ }nm is used, the fringe separation will be:

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  4. Question 4

    25 Jan 2023

    14
    In Young's double slits experiment, the position of 5th 5^{\text{th~}} bright fringe from the central maximum is 5 cm5\text{ }cm. The distance between slits and screen is 1 m1\text{ }m and wavelength of used monochromatic light is 600 nm600\text{ }nm. The separation between the slits is:

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  5. Question 5

    5 Apr 2024

    21
    In Young's double slit experiment, carried out with light of wavelength 5000Å5000\text{Å}, the distance between the slits is 0.3 mm0.3\text{ }mm and the screen is at 200 cm200\text{ }cm from the slits. The central maximum is at x=0 cmx = 0\text{ }cm. The value of xx for third maxima is .......... mmmm.

  6. Question 6

    28 Jan 2025

    25
    A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a screen with 10th 10^{\text{th~}} bright fringe having its centre at a distance of 10 mm from the central maximum. Distance of the centre of the same 10th 10^{\text{th~}} bright fringe from the central maximum when the source of light is replaced by another source of wavelength 660 nm would be _____\_\_\_\_\_ mm .