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Thomas Young's Double-Slit Experiment Problems

  1. Mar 26, 2017 #1
    1. The problem statement, all variables and given/known data
    Determine the wavelength of light being used to create the interference pattern in 3 different ways from the given data.
    -The angle to the 8th maximum is 1.12°
    -The distance from the slits to the screen is 302 cm
    -The distance from the first minimum to the fifth minimum is 2.95 cm
    -The distance between the slits is 0.00025 m

    2. Relevant equations
    Δx = λL/d
    sinθ= mλ/d
    sinθ= (n-1/2)λ/d
    xn/L=(n-1/2)λ/d
    xn/L=mλ/d
    3. The attempt at a solution
    You know that 4Δx=2.95 so Δx=0.7375
    subbing that in you get 0.7375=3.02λ/0.00025
    and λ=611 nm

    next sin 1.12=8λ/0.00025
    and λ= 611 nm

    my problem is with the last one. I have no idea how to find xn (the distance between a point on a nodal line and the right bisector) as it is not a given and we don't have any info about the right bisector. So I don't even know how to begin with this problem.

    Also, I also want to double check that minimum=nodal region and maximum=antinodal region. A simple fix if I'm wrong but just wanted to double check.

    Thanks in advance!
     
  2. jcsd
  3. Mar 27, 2017 #2

    andrevdh

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    Homework Helper

    You haven't stated the 3rd problem!
     
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