Help With Simple Single Slit Diffraction Pattern?

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SUMMARY

The discussion focuses on calculating the wavelength of light using the single slit diffraction formula, specifically for a slit width of 2.45 cm and a second dark fringe observed at 44.3°. The relevant equation is θ = pλ/a, where θ is the angle in radians, p is the order of the minimum (2 for the second dark fringe), and a is the slit width. The user converted 44.3° to radians (0.7732 rad) and attempted to solve for λ, questioning whether the result would be in nanometers or meters.

PREREQUISITES
  • Understanding of single slit diffraction principles
  • Familiarity with the equation θ = pλ/a
  • Ability to convert degrees to radians
  • Basic knowledge of wavelength measurement units (meters, nanometers)
NEXT STEPS
  • Study the derivation of the single slit diffraction formula
  • Learn about the implications of slit width on diffraction patterns
  • Explore wavelength calculations for different light sources
  • Investigate the effects of angle measurement in diffraction experiments
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding light behavior through diffraction patterns.

bmb2009
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Homework Statement


Plane light waves are incident on a single slit of width 2.45 cm. The second dark fringe is observed at 44.3° from the central axis. What is the wavelength of the light?


Homework Equations


θ=pλ/a... where theta is in radians, p =2 (second light minimum), and a = slit width

this seems like it should be a simple problem but I can't get the answer..any Help?


The Attempt at a Solution


I tried

44.3°=.7732 rad so .7732=(2)(λ)/.0245 and solved for λ. Also, does come out in nano meters or meters?

Thanks for your help!
 
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bmb2009 said:

Homework Statement


Plane light waves are incident on a single slit of width 2.45 cm. The second dark fringe is observed at 44.3° from the central axis. What is the wavelength of the light?


Homework Equations


θ=pλ/a... where theta is in radians, p =2 (second light minimum), and a = slit width

this seems like it should be a simple problem but I can't get the answer..any Help?


The Attempt at a Solution


I tried

44.3°=.7732 rad so .7732=(2)(λ)/.0245 and solved for λ. Also, does come out in nano meters or meters?

Thanks for your help!

That is a very wide slit if you are expecting to notice diffraction of light.!
 

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