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Thread: Waves Question

  1. #1
    Member looi76's Avatar
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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 $\displaystyle 136^o$ and $\displaystyle 162^o$.

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

    Attempt:
    $\displaystyle
    d\sin\theta = \lambda{n}$
    $\displaystyle
    \theta = \frac{1}{2}(162 - 136) = 13^o$

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

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

    (...)

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