How to Derive the Formula for Separation in Fresnel's Biprism Experiment?

  • Thread starter Thread starter ProPatto16
  • Start date Start date
  • Tags Tags
    Formula
Click For Summary
SUMMARY

The formula for the separation of two coherent sources in Fresnel's Biprism Experiment is derived as d=2aA(n-1), where n represents the refractive index of the prism. The derivation connects to Young's double slit experiment through the equation y=Rmλ/d, highlighting the relationship between interference patterns and the geometry of light paths. Understanding this derivation is crucial for grasping the principles of optical interference and the behavior of light in prisms.

PREREQUISITES
  • Familiarity with Fresnel's Biprism and its optical principles
  • Understanding of Young's double slit experiment and its equations
  • Knowledge of refractive index and its significance in optics
  • Basic skills in algebra and geometry for manipulating equations
NEXT STEPS
  • Study the derivation of the formula for separation in Fresnel's Biprism Experiment
  • Learn about the principles of optical interference and diffraction
  • Explore the applications of Fresnel's Biprism in modern optics
  • Investigate the mathematical relationships in Young's double slit experiment
USEFUL FOR

Students of physics, particularly those focusing on optics, educators teaching wave interference, and researchers exploring optical experiments and their applications.

ProPatto16
Messages
323
Reaction score
0

Homework Statement



Show that the separation of the two coherent sources is given by d=2aA(n-1) where n is the refactive index of prism.

Homework Equations



from youngs double slit experiment y=Rm\lambda/d

The Attempt at a Solution



i have no idea how to derive this formula. I've seen it many times before but nowhere shows the derivation. i can see youngs experiment is similar, but fail to see a connection?

help!

there should be a picture attached to this post. hopefully!
 

Attachments

  • fresnal.jpg
    fresnal.jpg
    14.3 KB · Views: 607
Physics news on Phys.org
Try this URL:http://discovery.bits-pilani.ac.in/~raj/fresnel-biprism.pdf

ehild
 
Last edited by a moderator:

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 33 ·
2
Replies
33
Views
3K
Replies
18
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
7K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K