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Math Help - Waves Question

  1. #1
    Member looi76's Avatar
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    Jan 2008
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    Waves Question

    Question:
    Light from a laser is directed normally at a diffracted grating, as illustrated in the figure below.


    The diffraction grating is situated at the center of a circular scale, marked in degrees. The readings on the scale for the second order diffracted beams are 136^o and 162^o.

    The wavelength of the laser light is 630nm.
    Calculate the spacing of the slits of the diffraction grating.

    Attempt:
    <br />
d\sin\theta = \lambda{n}
    <br />
\theta = \frac{1}{2}(162 - 136) = 13^o

    d\sin{13} = {\color{red}2} \times 630 \times 10^{-9}

    n = 2 because there are I took 2 reading? or is there another reason?
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  2. #2
    Super Member flyingsquirrel's Avatar
    Joined
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    Hi
    Quote Originally Posted by looi76 View Post
    The readings on the scale for the second order diffracted beams are 136^o and 162^o.

    (...)

    n = 2 because there are I took 2 reading? or is there another reason?
    n=2 because n is the diffraction order of the beams and you're using the "second order diffracted beams".
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