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29 September, 02:14

A diffraction grating having 500 lines/mm diffracts visible light at 30°. What is the light's wavelength?

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  1. 29 September, 02:37
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    The light's wavelength is 500 nm

    Explanation:

    mλ = d*sin (θm)

    where;

    λ is the visible light wavelength (nm) = ?

    d is the groove (slit) spacing (mm/lines) = 1/500mm

    θm is the angle of refraction

    m is is the diffraction order, for visible light range, m = 2

    λ = [d*sin (θm) ]/m

    λ = (sin30) / (500*2) = (0.5) / (1000) = 0.0005 mm = 500 nm

    Therefore, for a diffraction grating having 500 lines/mm and diffracts visible light at 30°. The light's wavelength is 500 nm
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