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Quasi-Monochromatic Light and Young's Double Slit Experiment

  1. Mar 18, 2015 #1
    1. The problem statement, all variables and given/known data

    A quasi-monochromatic beam of light illuminates Young's double-slit setup, generating a fringe pattern having 5.6-mm separation between consecutive dark bands. The distance between the place containing the apertures and the plane of observation is 7 m, and the two slits are separated by 1.0 mm. What is the wavelength of the light?

    2. Relevant equations

    ##y_m = (m+1/2)\lambda L / a## (for destructive interference)

    3. The attempt at a solution

    ##\lambda = \frac {y_m a}{(m+1/2)L}##

    Since the separation between consecutive dark bands is 5.6 mm, then we can say that the distance to the first minimum (corresponding to ##m=0##) is ##5.6/2##. Then we have ##a=1## and ##L=7000## and the formula gives ##\lambda=800 nm## but the answer is supposed to be 560 nm. What am I doing wrong?
     
  2. jcsd
  3. Mar 19, 2015 #2

    ehild

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    Nothing, your result is correct.
     
  4. Mar 20, 2015 #3

    rude man

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    Agreed with post #2.
     
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