Thomas Young's Double-Slit Experiment Problems

[snake3001]

Homework Statement

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

Homework Equations

Δx = λL/d
sinθ= mλ/d
sinθ= (n-1/2)λ/d
x_n/L=(n-1/2)λ/d
x_n/L=mλ/d

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 x_n (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!

 

[andrevdh]

You haven't stated the 3rd problem!