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24 February, 23:21

A grating whose slits are 3.2x10^-4 cm apart produces a third-order fringe at a 25.°0 angle. What is the wavelength of light that is used?

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  1. 24 February, 23:22
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    The light used has a wavelenght of 4.51*10^-7 m.

    Explanation:

    let:

    n be the order fringe

    Ф be the angle that the light makes

    d is the slit spacing of the grating

    λ be the wavelength of the light

    then, by Bragg's law:

    n*λ = d*sin (Ф)

    λ = d*sin (Ф) / n

    λ = (3.2*10^-4 cm) * sin (25.0°) / 3

    = 4.51*10^-5 cm

    ≈ 4.51*10^-7 m

    Therefore, the light used has a wavelenght of 4.51*10^-7 m.
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