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13 December, 12:29

A diffraction grating has 2000 lines per centimeter. at what angle will the first-order maximum be for 520-nm-wavelength green light? a diffraction grating has 2000 lines per centimeter. at what angle will the first-order maximum be for 520-nm-wavelength green light?

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  1. 13 December, 13:55
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    Applying diffraction equations;

    d = 0.01/Number of lines; where 0.01 m = 1 cm, and d = spacing between lines

    Therefore,

    d = 0.01/2000 = 5*10^-6 m

    Additionally,

    d*Sin x = m*y; where x = Angle, m = order = 1, y = wavelength = 520 nm = 520*10^-9 m

    Substituting;

    Sin x = my/d = (1*520*10^-9) / (5*10^-6) = 0.1040

    x = Sin ^-1 (0.104) = 5.97°

    Therefore, first-order maximum for 520 nm will be 5.97°.
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