How Do You Calculate the Fringe Separation in Young's Double Slit Experiment?

Click For Summary
SUMMARY

The discussion focuses on calculating the fringe separation in Young's Double Slit Experiment, specifically the distance between the 3rd order bright fringe and the 0th order bright fringe. Given a slit separation of 30 µm and a distance from the slits to the screen of 1.2 m, the resultant fringe separation is 2.15 cm. The formula used is sin(θ) = mλ/d, where m represents the order of the fringe. The calculated separation between the 3rd and 0th order bright fringes is confirmed to be 8.60 cm.

PREREQUISITES
  • Understanding of Young's Double Slit Experiment
  • Familiarity with the formula sin(θ) = mλ/d
  • Basic geometry concepts related to triangles
  • Knowledge of monochromatic light properties
NEXT STEPS
  • Study the derivation of fringe separation formulas in Young's Double Slit Experiment
  • Learn about the impact of wavelength (λ) on fringe patterns
  • Explore advanced applications of interference patterns in optics
  • Investigate the effects of varying slit separation on fringe visibility
USEFUL FOR

Students and educators in physics, optical engineers, and anyone interested in wave interference phenomena.

Dx
Hello,

A monochromatic light is incident on a Youngs double spilt setup that has a slit separation of 30um. the resultant bridge fringe separation if 2.15cm on a 1.2 m from the double slit. what is the separation between the 3rd order bright fringe and the 0th order bright fringe?

I know that d=30um, L=1.2m and m=0, 3 orders. ao using x_1=L[the]_1 = 1.2(?)=2.15 = 17.92
I think I am lost on what there trying to get me to solve for ie. what is the separation between the 3rd order bright fringe and the 0th order bright fringe? what do they mean? I have this formula sin[the]= m[lamb] /d. How do i solve for it, i must be close, right?
Plz help?
Dx :wink:
 
Physics news on Phys.org
Originally posted by Dx
I think I am lost on what there trying to get me to solve for ie. what is the separation between the 3rd order bright fringe and the 0th order bright fringe? what do they mean?

They mean, "How far apart on the screen are those two fringes?"

I have this formula sin[the]= m[lamb] /d.

OK, now use geometry. Draw the setup, and you will have a triangle with one angle θ and the unknown distance opposite that angle.
 
Thats it tom.
You make it too easy, i got 8.60cm as my answer. is that correct?
Thanks!
Dx :wink:
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
8K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
11K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K