Single Slit Problems: Calculate Width of Central Maximum

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SUMMARY

The problem involves calculating the width of the central maximum produced by a 0.42 mm-diameter slit illuminated by light with a wavelength of 510 nm, observed on a screen 1.8 m away. The correct formula to use is f = λx/s, where λ is the wavelength, x is the distance to the screen, and s is the slit width. The user initially provided incorrect answers of 4.4 mm and 2.2 mm, which were identified as incorrect due to the misuse of the formula. The correct approach requires a proper understanding of single-slit diffraction principles.

PREREQUISITES
  • Understanding of single-slit diffraction
  • Familiarity with the formula f = λx/s
  • Knowledge of light wavelength measurements in nanometers
  • Basic principles of wave optics
NEXT STEPS
  • Study single-slit diffraction patterns and calculations
  • Learn about the derivation and application of the formula f = λx/s
  • Explore the effects of slit width on diffraction patterns
  • Investigate practical applications of wave optics in experimental setups
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Students studying physics, particularly those focusing on optics and wave phenomena, as well as educators looking for examples of diffraction calculations.

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Homework Statement



A 0.42 -mm-diameter hole is illuminated by light of wavelength 510nm. What is the width (in mm) of the central maximum on a screen 1.8m behind the slit?

Homework Equations



f=λx/s

The Attempt at a Solution



I tried two answers, 4.4mm and 2.2mm and they are both wrong. Any suggestions?
 
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Plasmosis1 said:
I tried two answers, 4.4mm and 2.2mm and they are both wrong. Any suggestions?
Please show how you got those answers. It is hard to guess what you did wrong otherwise.
 
Plasmosis1 said:

Homework Statement



A 0.42 -mm-diameter hole is illuminated by light of wavelength 510nm. What is the width (in mm) of the central maximum on a screen 1.8m behind the slit?

Homework Equations



f=λx/s

The Attempt at a Solution



I tried two answers, 4.4mm and 2.2mm and they are both wrong. Any suggestions?

It is not the correct formula for a hole. See your other thread.

ehild
 

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