Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Diffraction by single slit - effect of increasing the slit width

  1. Aug 1, 2005 #1
    For diffraction by a single slit, what is the effect of increasing (a) the slit width, and (b) the wavelength? It was a problem on my daughter's final and I never seemed to be able to answer it for her. :confused:
     
  2. jcsd
  3. Aug 1, 2005 #2

    quasar987

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    The answer lies in the fact that the minima are located at intervals of [itex]n\lambda / D[/itex] (value of sin)... so a bigger slit (D) makes narower maxima and a larger wavelenght ([itex]\lambda[/itex]) makes wider maxima.
     
  4. Aug 1, 2005 #3
    for single-slit diffraction, the condition for MINIMUMs is:

    [tex] y \ = \ \frac{m \lambda D}{s} [/tex]

    where y is the distance from central max to the m-th minimum of the diffraction pattern, m a positive integer, λ the wavelength, D the distance between single-slit and distant observation screen where diffraction pattern will be observed, and s the single-slit width. Thus:
    a) increasing single-slit width will decrease width of central max ("shrink the diffraction pattern");
    b) increasing wavelength will increase width of central max ("expand the diffraction pattern")
     
    Last edited: Aug 1, 2005
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook