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24 September, 06:57

A flat screen is located 0.63 m away from a single slit. Light with a wavelength of 550 nm (in vacuum) shines through the slit and produces a diffraction pattern. The width of the central bright fringe on the screen is 0.053 m. What is the width of the slit?

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  1. 24 September, 09:02
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    1.308 * 10^ (-5) m

    Explanation:

    We apply the condition for a single slit experiment:

    y = (λ * D) / a

    Where y = half width of fringe

    λ = wavelength of light

    D = distance of slit from screen

    a = width of slit

    We need to find a, so we make a the subject of formula:

    a = (λ * D) / y

    From the question:

    λ = 550 nm = 550 * 10^ (-9) m

    D = 0.63 m

    y = 0.053 / 2 = 0.0265 m

    Therefore:

    a = (550 * 10^ (-9) * 0.63) / 0.0265

    a = 1.308 * 10^ (-5) m

    The width of the slit is 1.308 * 10^ (-5) m
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