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Math Help - Diffraction Grating

  1. #1
    Ant
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    Diffraction Grating

    hi,

    When white light it diffracted through a diffraction grating I understand that it is split up into a spectrum of all the colours (as each wavelength is diffracted a different amount). But why does red light (which has the largest lamda) appear furtherest away from the centre maxima? Why is red light diffracted the most?

    any help very much appreciated!
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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by Ant View Post
    hi,

    When white light it diffracted through a diffraction grating I understand that it is split up into a spectrum of all the colours (as each wavelength is diffracted a different amount). But why does red light (which has the largest lamda) appear furtherest away from the centre maxima? Why is red light diffracted the most?

    any help very much appreciated!
    Smallest frequency, i.e. longest wavelength...



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  3. #3
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    If you think about the equation relating the angle from the centre a maximum occurs and wavelength;

    sin~\theta ~=~ \frac{\lambda}{d}

    As mentioned by colby red light has a larger wavelength, thus the value for sin~\theta and consequently the value for \theta is larger.
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