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15 December, 16:13

In a double slit experiment, if the separation between the two slits is 0.050 mm and the distance from the slits to a screen is 2.5 m, find the spacing between the first-order and second-order bright fringes when coherent light of wavelength 600 nm illuminates the slits.

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  1. 15 December, 17:48
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    30 cm

    Explanation:

    Hi! Lets find the angles for the first and second order maxima

    The first order maximum will occur for Ф=0

    The second order maximum will satisfy the following relationship:

    sinФ = λ/d

    Where λ = 600 x 10^-9 m and d = 5 x 10^-5 m

    Therefore:

    sinФ = 0.012

    And the vertical distance bewteen the first and second will be given by:

    l = (2.5 m) tanФ

    But since 2.5 m>>0.05 mm; sinФ≈tanФ

    Therefore:

    l = (2.5 m) sinФ

    l = 0.03 m = 30 cm
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