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4 November, 19:57

You shine light with a wavelength of 400 nm at two small slits (I and II) and observe an interference pattern on a screen. What is the difference in path lengths between the light that travels from slit I to the first dark fringe of the pattern and the light that travels from slit II to the same dark fringe?

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  1. 4 November, 20:58
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    2 x 10⁻⁷ m

    Explanation:

    Since the light from two slits interfere to form dark fringe on the screen,

    the path difference must be odd multiple of λ / 2.

    Since it is the first dark fringe the factor of odd multiple must be one.

    So path difference must be

    (2n + 1) x λ / 2.

    for first dark fringe

    n = 0

    path difference = λ / 2

    400 x 10⁻⁹ / 2 m

    = 2 x 10⁻⁷ m
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