Light wavelength passing through a grating sketch help

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SUMMARY

The discussion focuses on calculating the angles for the first and second order maxima of light wavelengths 520 nm and 630 nm passing through a diffraction grating with 6000 lines/cm. The key equation used is dSinθ = nλ, where d represents the line separation. The line separation is derived from the number of lines per centimeter, which is crucial for determining the angular positions of the maxima. A sketch of the resulting diffraction pattern is also necessary to visualize the positions of the fringes.

PREREQUISITES
  • Understanding of diffraction grating principles
  • Familiarity with the equation dSinθ = nλ
  • Knowledge of wavelength measurements in nanometers
  • Ability to interpret and create diagrams of diffraction patterns
NEXT STEPS
  • Calculate line separation for a grating with 6000 lines/cm
  • Learn how to sketch diffraction patterns for multiple wavelengths
  • Explore the effects of varying the number of lines on diffraction angles
  • Investigate applications of diffraction gratings in spectroscopy
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding diffraction patterns and their calculations.

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Homework Statement



light with a wavelength of 520 nm abd 630 nm passes through a diffraction grating that contains 6000 lines/cm.

a) sketch a diagram of the image produced from m=0 to m=2, label the order of each fringe

b) calculate the angles for the first and second order maxima that would appear on the screen

Homework Equations





The Attempt at a Solution


ok so i have no idea how to make this diagram up, and i feel if i get help with that then part b will become easier for me
 
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In some ways part (b) is the easy bit... all you need is the equation for adiffraction grating:
dSinθ = nλ so you can calculate the angular postion (θ) of the maxima.
What you have to watch out for is d = line separation and you have been give Number of lines per cm.
Once you have the angles for the n=1 and n=2 max for each wavelength you should be able to do a sketch showing their positions.
hope this will help you
 

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