Calculating Minimum Angle in Multiple-Slit Interference

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Homework Help Overview

The problem involves calculating the minimum angle in a multiple-slit interference setup, specifically for a five-slit mask with a given distance between adjacent slits. The context is rooted in wave optics and interference patterns.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to clarify the use of the formula dsin[theta] = m[lambda], expressing uncertainty about the values for d and m. Some participants provide confirmation of the formula and suggest specific values for the variables involved.

Discussion Status

The discussion has progressed with participants confirming the correctness of the formula and providing guidance on variable substitution. There appears to be a productive exchange, with some participants offering calculations based on the discussed values.

Contextual Notes

There is an assumption regarding the interpretation of m in the context of multiple slits, and the original poster expresses uncertainty about the correct values to use in the formula.

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Homework Statement



"If the distance between the centers of adjacent slits in the five-slit mask is 125[lambda], determine the angle (measured relative to the normal to the screen) to the minimum closest to the center of the screen."

Homework Equations


So, I have a question about the homework due tomorrow.
Here is the question:

So, do I use dsin[theta] = m[lambda]?
Where d would be, well, I am not sure,
Theta is what I'd be solving for,
m would be 0.5 (I think, but not sure since there are 5 slits)
and lambda would be 125

Is this right, or totally wrong?
 
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Correct formula. "d" is the distance between slits, so replace it with 125*L
(I'm writing L instead of lambda). That gives you
125*L*sin(A) = m*L
For the first minimum, m = 1/2.
The L cancels, so you can find A.
 
Okay, so theta = 0.23 degrees?
 
Yes, that's it.
 
Awesome! Thanks :D
 

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