Homework Help: Thomas Young's Double-Slit Experiment Problems

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1. Mar 26, 2017

snake3001

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.