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18 May, 19:37

Blue light, which has a wavelength of about 475 nm, is made to pass through a slit of a diffraction grating that has 425 lines per mm and forms a first-order bright band. What is the angle of diffraction? Round answer to the nearest whole number.

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  1. 18 May, 19:50
    0
    round your answer to 12
  2. 18 May, 19:57
    0
    The formula relating the variables involved is:

    distance between lines * sin (angle of diffraction) = order of band * wavelength

    dsin (∅) = nλ

    The line spacing may be calculated using the fact that there are 425 lines per mm and 1 mm contains 0.001 m

    d = 0.001 / 425 = 2.35 x 10⁻⁶ m

    λ = 475 x 10⁻⁹ m

    Substituting the values,

    2.35 x 10⁻⁶ * sin (∅) = 1 * 475 x 10⁻⁹

    ∅ = 11.7°

    The angle of the first order bright band, or maxima, is 11.7°
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