White light is spread out into its spectral components by a diffraction grating. If the grating has 1,970 grooves per centimeter, at what an

Question

White light is spread out into its spectral components by a diffraction grating. If the grating has 1,970 grooves per centimeter, at what angle (in degrees) does red light of wavelength 640 nm appear in first order? (Assume that the light is incident normally on the gratings.)

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Đan Thu 5 years 2021-08-11T14:38:37+00:00 1 Answers 31 views 0

Answers ( )

  1. minhkhang
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    2021-08-11T14:39:50+00:00
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    Answer;

    7.238°

    Explanation

    From question we know that the grating has 1,970 grooves per centimeter, we can convert to from (cm) to (nm) for unit consistency

    The slit separation is expressed below

    d=1cm/1970

    d=0.0005076

    =5076nm

    Then the angle (in degrees) that the red light of wavelength 640 nm appear in first order can be calculated using expression below

    Sin(x)= mλ/d

    Where λ= wavelength=640 nm

    d=slit separation

    Sin(x)= mλ/d

    Sin(x)=(1×640)/5076

    =0.126

    sin-1(0.126)

    X= 7.238°

    Therefore,the angle (in degrees) that the red light of wavelength 640 nm appear in first order is 7.238°

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