Calculating Minimum Angle in Multiple-Slit Interference

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SUMMARY

The discussion centers on calculating the minimum angle in a multiple-slit interference scenario, specifically for a five-slit mask with a slit separation of 125λ. The correct formula to use is d sin(θ) = mλ, where d is the distance between slits (125λ), θ is the angle to be solved, and m is the order of the minimum, which is 0.5 for the first minimum. The final calculated angle is confirmed to be 0.23 degrees.

PREREQUISITES
  • Understanding of multiple-slit interference principles
  • Familiarity with the wave equation d sin(θ) = mλ
  • Knowledge of the significance of the order of minima (m)
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study the derivation of the multiple-slit interference formula
  • Explore the concept of higher-order minima in interference patterns
  • Learn about the impact of slit width on interference patterns
  • Investigate applications of multiple-slit interference in optical devices
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Students studying wave optics, physics educators, and anyone interested in understanding interference patterns in light waves.

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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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