How to Calculate Angle in Double Slit Interference with Given Variables?

AI Thread Summary
To calculate the angle in double slit interference, the relevant equation is d*sin(θ) = n*λ, where d is the slit separation, λ is the wavelength, and n is the order of interference. For the given values of wavelength (550 nm) and slit distance (0.120 mm), the angles for different orders (n=1, n=5, n=10) can be found using the inverse sine function. The participant struggles to convert their calculated value of approximately 0.004 into degrees, which should yield an expected angle of 29 degrees for the first order. Adjusting the slit distance to about 1.1 micrometers may be necessary to achieve the correct angle. Understanding the conversion from radians to degrees is crucial for accurate results.
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Homework Statement


We have the wavelength of 550nm and the distance (d) of 0.120mm. I need to calculate the the angle q.
The diffirent parts of this questions corresponds to the diffirent order of n. a) Being n=1 b) n=5 c) n=10

Given variables;
Wavelength = 550nm = 550*10^-9m
d=0.120mm = 0.00012m
n1= 1
n2= 5
n2 = 10

Homework Equations


The relevant equation for this is;

d*sin0 = n*Wavelength
0 = sin((n*Wavelength)/d))

The Attempt at a Solution



I've attempted the solution to this and my real problem is that I have got no idea how to get the answer to Degrees. I'd really like to see someone do this so I can see what you do and how I should think.
 
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What answers are you getting? You have the correct formula if you are using the inverse sine function.
 
Kurdt said:
What answers are you getting? You have the correct formula if you are using the inverse sine function.

The answer I am getting is like 0.004[insert a lot of numbers here]
The answer it's supposed to be is 29degrees.

The question is; How do I get the answer that I got 0.004(something) to degrees?
You try it and we can see how you do it.

The answer is supposed to be 29degrees.
 
Hmm, going through myself I can get nowhere near the answer. The only thing I can think of is the slit distance should be about 1.1 micrometres to get 29 degrees for the first order.
 
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