Double Slit Wave Interference - what is m?

Click For Summary
SUMMARY

The discussion revolves around the double slit wave interference problem, specifically addressing the variable 'm', which represents the order of interference. The participants clarify that 'm' corresponds to the number of bright or dark fringes relative to the central maximum. The problem involves monochromatic light passing through slits separated by 161 μm, projecting onto a screen 1.32 m away, and requires calculating the wavelength of the light using the equation dsinθ = mλ for constructive interference. The solution approach includes calculating the angle θ and subsequently the wavelength λ.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with the double slit experiment
  • Knowledge of trigonometric functions and their applications in physics
  • Ability to manipulate equations related to wave phenomena
NEXT STEPS
  • Study the derivation of the double slit interference formula
  • Learn about the effects of slit separation on interference patterns
  • Explore the concept of fringe spacing in interference experiments
  • Investigate the applications of wave interference in modern optics
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and optics, as well as educators seeking to explain the principles of interference patterns in a classroom setting.

snowcrystal42
Messages
1
Reaction score
0
Hi,
I'm doing a very simple problem, but I don't understand the diagram provided (see image below).
28-34-gif.gif

What is m here?
I know that m is the order with respect to the central bright fringe, but there isn't a central bright fringe (assuming those circles are the bright fringes)?

Homework Statement


Suppose the interference pattern shown in the figure is produced by monochromatic light passing through two slits, with a separation of 161 μm, and onto a screen 1.32 m away. What is the wavelength of light?

Homework Equations


dsinθ = mλ (m = 0,1,2,3...) for constructive interference
dsinθ = (m + ½)λ (m = 0,1,2,3...) for destructive interference
tanθ = y/L

The Attempt at a Solution


tanθ = (23mm)/(1.32m)
θ = 0.998°
λ = (dsinθ)/m = [(161μm)(sin(0.998))]/m

Thanks!
 

Attachments

  • 28-34-gif.gif
    28-34-gif.gif
    2.8 KB · Views: 947
Physics news on Phys.org
Hi snowcrystal42,

Welcome to Physics Forums!

From the diagram, what can you say about the separation between the individual maxima (or minima)? Can you concoct an expression for the distance between two successive maxima (or minima)?
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
4
Views
1K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 1 ·
Replies
1
Views
8K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
4K