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

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Homework Help Overview

The discussion revolves around calculating the angle in a double slit interference scenario, given specific variables such as wavelength and slit distance. The original poster presents a problem involving different orders of interference (n=1, n=5, n=10) and expresses uncertainty in converting their results into degrees.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the formula for double slit interference but struggles with converting their numerical results into degrees. Some participants suggest using the inverse sine function, while others question the validity of the slit distance required to achieve a specific angle.

Discussion Status

Participants are actively engaging with the problem, with some providing guidance on the formula and others exploring potential discrepancies in the setup. There is a lack of consensus on the correct approach, but the discussion is ongoing with various interpretations being considered.

Contextual Notes

The original poster has provided specific values for wavelength and slit distance, but there may be assumptions about the accuracy of these values or the setup that are being questioned. The need for clarity on how to convert results into degrees is a central theme in the discussion.

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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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