Finding maximum in interference pattern

Click For Summary
SUMMARY

The discussion centers on calculating the position of the first maximum in a three-slit interference pattern, given that the first minimum occurs at an angular position of 5.00°. The correct equation used is dsinθ = mλ/N, where λ is the wavelength, d is the slit separation, and N is the number of slits. The user initially misapplied the equation but confirmed that the first maximum occurs at an angle of 1.66° after correcting their approach. It is established that maxima correspond to bright regions and minima to dark regions in the interference pattern.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with the equation dsinθ = mλ/N
  • Knowledge of angular measurements in physics
  • Basic trigonometry for solving sine functions
NEXT STEPS
  • Study the derivation of the interference pattern equations for multiple slits
  • Learn about the significance of maxima and minima in wave optics
  • Explore practical applications of interference patterns in experimental physics
  • Investigate the effects of varying slit separation on interference patterns
USEFUL FOR

Students of physics, particularly those studying wave optics, educators teaching interference concepts, and anyone interested in the mathematical modeling of light behavior in multi-slit systems.

Les talons
Messages
28
Reaction score
0

Homework Statement


In a three-slit system, the first minimum occurs at an angular position of 5.00°. Where is the first maximum?

Homework Equations


dsinθ = mλ/N

The Attempt at a Solution


dsin5° = λ
dsinX = λ/3
sinX = 3sin5°
X = 1.66°

I'm not sure if this is the right equation to find the first maximum in the interference pattern. Also, is the maximum the bright region and the minimum the dark region? Thanks all.
 
Physics news on Phys.org
I get 15,2o when I solve for X?
But your approach is correct, yes.
And yes, the maximum (intensity) is the bright region
and the minimum (intensity of light) is the dark region.
 
  • Like
Likes   Reactions: Les talons
Oh geez, what a silly mistake of dividing by three instead of multiplying by three... :confused: Thanks for the feedback.
 

Similar threads

Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 34 ·
2
Replies
34
Views
4K
  • · Replies 6 ·
Replies
6
Views
8K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K