Diffraction Grating: Calculate Wavelengths

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SUMMARY

The discussion focuses on calculating the wavelengths of green and red light using a diffraction grating with 200 lines per centimeter. The relevant equations include λ = d sin(θ) and d = 1/N, where 'd' is the grating spacing and 'N' is the number of lines per unit length. The user is tasked with determining the values of 'm' for the first and second order spectra based on the given distances between light spots on a screen 2.5 meters away. The calculated distances between the spots are essential for solving for the wavelengths of the emitted light.

PREREQUISITES
  • Understanding of diffraction grating principles
  • Familiarity with the equations λ = d sin(θ) and d = 1/N
  • Knowledge of order of spectra in diffraction (first and second order)
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Calculate the grating spacing 'd' using the formula d = 1/N
  • Determine the angles θ for the first and second order spectra
  • Use the distances between light spots to find the values of 'm'
  • Research the relationship between wavelength and diffraction patterns
USEFUL FOR

Students studying optics, physics enthusiasts, and anyone involved in laboratory experiments related to light diffraction and wavelength calculations.

SGL18
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Homework Statement


light from an atomic hydrogen lamp falls on a diffraction grating with 200 lines per centimetre. on a screen 2.5 m away, the distance between green spots of the first and second order spectra is 2.43cm while the distance between a green spot and a red spot both of the first order spectrum is 8.5mm. calculate the wavelengths of the green and red radiation?


Homework Equations



λ = d sinQ = md/D & d=1/N

The Attempt at a Solution


Not sure about the 1st and 2nd order spectrum stuff! i know the equation will end up with
(a) x(b)/2.5 but I am not sure how to get the values of (a) and (b)?
 
Physics news on Phys.org
The first and second order spectrum has to do with the 'm' in the diffraction grating equation. I have no idea what happened to your 'm' on the left. The equation is:

m\lambda = d \sin(\theta_m)
 

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