How to calculate the frequency given a colour, angle, 100 slits/mm.

Click For Summary
SUMMARY

The discussion centers on calculating the wavelength and frequency of light given specific parameters: an angle of 3.4 degrees, a color of purple, and a diffraction rating of 100 slits/mm. The speed of light (v) is defined as the product of frequency (f) and wavelength (λ), leading to the conclusion that either frequency or wavelength must be determined first to solve the problem. The user seeks resources on diffraction gratings and the double slit experiment to aid in their calculations.

PREREQUISITES
  • Understanding of wave-particle duality in physics
  • Familiarity with the principles of diffraction gratings
  • Knowledge of the relationship between wavelength, frequency, and the speed of light
  • Basic trigonometry to calculate angles in wave phenomena
NEXT STEPS
  • Study the principles of diffraction gratings and their mathematical applications
  • Learn how to calculate wavelength from angle using the formula for diffraction patterns
  • Explore the double slit experiment and its relevance to wave interference
  • Review textbooks or online resources on wave optics for deeper understanding
USEFUL FOR

Students in physics, educators teaching wave optics, and anyone interested in the mathematical calculations related to light behavior in diffraction scenarios.

Ninja_Truth
Messages
1
Reaction score
0
So for my assignment I have to calculate the wavelength given an angle, colour, 100 slits/mm diffraction rating but no frequency.
Angle = 3.4 degrees
Colour = Purple

For v =∫λ,
I need the wavelength or frequency to work out anything, v is the speed of light. But I cannot see how to find this without the frequency and I need a wavelength to work out the frequency.

Can anyone help?
 
Physics news on Phys.org
Do you have a textbook that covers diffraction gratings, or the double slit experiment? The condition for the maximums is actually the same in both cases.

From this equation you will be able to find λ
 

Similar threads

Slit Width & Single Slit Diffraction
  • · Replies 3 ·
Replies
3
Views
2K
Sound Wave Interference and Finding the Path Differences with Diagrams
  • · Replies 20 ·
Replies
20
Views
5K
Finding order of diffraction given angle and wavelength
  • · Replies 10 ·
Replies
10
Views
2K
Diffraction Question: Find Slit Width & Angle θ
  • · Replies 4 ·
Replies
4
Views
3K
Can a Diffraction Pattern be Solved Without Complete Information?
  • · Replies 2 ·
Replies
2
Views
2K
How to calculate slit separation?
  • · Replies 2 ·
Replies
2
Views
5K
Calculating the angle of a double-slit experiment
  • · Replies 14 ·
Replies
14
Views
6K
How do you find speed given the beat frequency?
  • · Replies 3 ·
Replies
3
Views
4K
What Is the frequency of red light?
  • · Replies 5 ·
Replies
5
Views
9K
Wavelength of Sound: Solve Using X & Y
  • · Replies 6 ·
Replies
6
Views
2K