What Is the Distance Between the Slits in Young's Double-Slit Experiment?

Click For Summary
SUMMARY

The distance between the slits in Young's Double-Slit Experiment was calculated using the formula d sin θ = n λ, where d represents the slit separation, θ is the angle of the second side maximum, n is the order of the maximum, and λ is the wavelength of the light. Given a wavelength of 632.8 nm and an angle of 0.45 degrees, the calculated distance d was found to be 1487.36 nm. The value of n was correctly assigned as 2, corresponding to the second side maximum. The distinction between 0.45 degrees and 45 degrees was noted as crucial for accurate calculations.

PREREQUISITES
  • Understanding of Young's Double-Slit Experiment
  • Familiarity with the wave nature of light
  • Knowledge of trigonometric functions, specifically sine
  • Ability to convert units, particularly nanometers to meters
NEXT STEPS
  • Study the derivation of the formula d sin θ = n λ in detail
  • Explore the implications of varying slit separation on interference patterns
  • Learn about the significance of wavelength in diffraction experiments
  • Investigate the effects of angle measurement precision on experimental results
USEFUL FOR

Students of physics, educators teaching wave optics, and anyone interested in experimental physics and the principles of light interference.

Aoiumi
Messages
23
Reaction score
0

Homework Statement


When two parallel slits are illuminated with monochromatic light of wavelength 632.8 nm, the angle between the center of the central maximum and the center of the second side maximum is .45 degrees. What is the distance between the parallel slits.


Homework Equations



d sin θ = n λ



The Attempt at a Solution



d=2(632.8 nm)/sin 45 degrees

d = 1487.36 nm

My "d" value seems a bit odd, so I wanted to make sure I did this correctly. Note that I assigned "2" as the value of n because the problem said "second side maximum". Thank you.
 
Physics news on Phys.org
.45 degrees and 45 degrees are not the same thing. Apart from that (and the resulting wrong value for d), it looks fine.
 
  • Like
Likes   Reactions: 1 person
Okay. Thank you for the confirmation!
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
2
Views
2K