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23 April, 01:48

Yung's experiment is performed with light of wavelength 502 nm from excited helium atoms. Fringes are measured carefully on a screen 1.10 m away from the double slit, and the center of the 20th fringe (not counting the central bright fringe) is found to be 10.2 mm from the center of the central bright fringe. What is the separation of the two slits?

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  1. 23 April, 03:00
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    1.082 mm

    Explanation:

    From the question, we can see that we were given The following

    Wavelength of the atoms, λ = 502 nm = 502*10^-9 m

    Radius of the screen away from the double slit, r = 1.1 m

    We know that Y (20) = 10.2 mm = 10.2*10^-3 m

    d = (20 * R * λ) / Y (20)

    d = (20 * 1.1 * 502*10^-9) / 10.2*10^-3

    d = 1.1*10^-5 / 10.2*10^-3

    d = 1.082 mm

    Therefore, we can say that the distance of separation between the two slits is 1.082 mm
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