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What is the minimum width of the screen if Ramon wants to display five interference

  1. Mar 29, 2009 #1
    1. The problem statement, all variables and given/known data

    Ramon has a coherent light source with wavelength 554 nm. He wishes to send light through a double slit with slit separation of 1.5 mm to a screen 90 cm away. What is the minimum width of the screen if Ramon wants to display five interference maxima?


    2. Relevant equations

    λ/s = w/D

    λ= wavelength (554nm - converted to 5.54e-4 mm)
    s= slit separation (1.5mm - provided by question)
    w= width between maxima (use 5w do to question asking for 5 interference maxima)
    D= distance to screen (90cm - converted to 900mm provided by question)

    3. The attempt at a solution

    Given that three of the four variables are known values, this should be simple as plug and solve. For some reason it is not liking the answer I am providing. The left side of the equation is simply 5.54e-4 / 1.5 which one would set equal to 5w / 900. Where am I going wrong here? Thanks in advance!
     
  2. jcsd
  3. Mar 29, 2009 #2
    Re: What is the minimum width of the screen if Ramon wants to display five interferen

    Follow up: Figured it out. Initially thought of the question as asking about 5 maxima per side (thus 10 total). One maxima in the center, two per side, 5 total. w * 4 yields correct value.
     
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