(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Upon using Thomas Young's double slit experiment to obtain measurements, the following data was obtained. Use this data to determine the wavelength of light being used to create the interference pattern.DO this in 3 different ways!

- The Angle to the Eighth maximum is 1.12 deg.
- The distance from the slits to the screen is 3.02 m
- 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

sin∅_{n}=(n-1/2)λ/d

sin∅_{m}=mλ/d

Δx=Lλ/d

X_{n}/L=(n-1/2)λ/d

X_{m}/L=mλ/d

3. The attempt at a solution

sin∅_{n}=(n-1/2)λ/d

λ=(sin1.12)(0.00025)/(7.5)

λ=651 nm

The distance from the first minimum to the fifth minimum is 2.95 cm .. therefore

4Δx=2.95 cm

Δx=0.0074 m ( i converted it)

Im unsure about 4 x if anyone can shed any light on that that would be cool

Δx=Lλ/d

λ=Δxd/L

λ=(0.0074) (0.00025)/ (3.02)

λ= 612 nm

as for this one I dont know if I should use the X_{m}or X_{n}equation..I used

X_{m}/L=mλ/d

(0.0295)/3.02=4λ/(0.00025)

λ= 610 nm

Number seems plausible but it also does when I use the X_{n}equation

thanks for any help in advance

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# Young Double Slit Experiment (Determine wavelength of light source)

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