Upon using Thomas young’s double slit experiment to obtain measurements, the following data were obtain. Use these data to determine the wavelength of light being used to create the interference pattern. Do this in three different ways (6)
• the angle to the eighth maximum is 1.12◦
• the distance from the slit to the screen is 302cm
• the distance from the first minimum to the fifth minimum is 2.95cm
• the distance between the slit is 0.00025cm
The Attempt at a Solution
I found 2 ways of finding the wavelength using the formulas
Change in x = L (Lambda) / d
m(Lambda)= (d)(sin Theta subscript m)
For my third method i thought about using the formula
m(Lambda)= (d)xm/ L
the problem is I was not given xm sincexm is the distance from a point on a antinodal line to the right bisector.
However, I was told by my friend that since the 8th antinodal is provided and that "change in x" is easily obtainable, xmcan be found by just multiplying the 2 together.
which would look like
change in x = 0.007375 (Converted to Meters from cm)
8th antinodal = 8
0.007375(8) = 0.059
xm= 0.059 meters
Is my friend right?