Slits per cm on diffraction grating

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SUMMARY

The discussion revolves around calculating the number of slits per centimeter on a diffraction grating for light of 650 nm wavelength, which can be observed in three orders. The key equation used is the diffraction grating equation, which connects the angles of the diffracted beams to the wavelength, slit spacing, and order number. To determine the slits per cm, one must first calculate the distance between adjacent slits and then take the reciprocal of that distance. Understanding this relationship is crucial for solving the problem effectively.

PREREQUISITES
  • Diffraction grating equation
  • Understanding of wavelength and order of diffraction
  • Basic principles of light and optics
  • Ability to perform unit conversions (e.g., cm to nm)
NEXT STEPS
  • Study the diffraction grating equation in detail
  • Learn about the relationship between wavelength and slit spacing
  • Explore practical examples of diffraction in optics
  • Investigate how to calculate angles of diffraction for various orders
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Students studying optics, physics enthusiasts, and anyone involved in experiments or applications related to diffraction gratings and light behavior.

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Homework Statement



Light of 650 nm can be seen in three orders in a particular grating. About how many slits per cm does this grating have?

Homework Equations



Yikes.

The Attempt at a Solution



Either this question is ridiculously hard resulting in me not even having a clue where to start, or it is so easy that I don't even deserve to get it right.. haha. If someone could just point me towards the right CONTINENT, I might have a chance.. heh. Thanks in advance.
 
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I understand that, but without knowing the length of the grating, how could one possible ascertain slits / cm?
 
The equation gives you the distance between adjacent slits. Take the reciprocal of that distance (in cm), and you get the number of slits per cm.
 
Got it. Ugh. Too many hours of looking at this screen. Thanks for your time.
 
You're welcome, no problem.
 

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