What Will Be Observed on the Screen After an Electron Passes Through a Slit?

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SUMMARY

The discussion centers on the behavior of a single electron with a de Broglie wavelength λ passing through a slit of width d=2λ and its subsequent interaction with a fluorescent screen. The correct observation on the screen is option (d): a single flash that would most likely occur where a corresponding diffraction pattern would have the highest intensity. Options (a), (b), and (c) are definitively incorrect based on the principles of quantum mechanics and wave-particle duality.

PREREQUISITES
  • Understanding of de Broglie wavelength
  • Knowledge of diffraction patterns in quantum mechanics
  • Familiarity with the wave-particle duality concept
  • Basic principles of quantum mechanics and electron behavior
NEXT STEPS
  • Study the principles of quantum mechanics related to wave-particle duality
  • Learn about diffraction patterns and their formation in quantum systems
  • Explore the mathematical derivation of the de Broglie wavelength
  • Investigate experimental setups demonstrating electron diffraction
USEFUL FOR

Students of physics, particularly those focusing on quantum mechanics, educators teaching wave-particle duality, and researchers exploring electron behavior in quantum systems.

neelakash
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Homework Statement



A single electron with de Broglie wavelength λ passes through a slit of width d=2λ.The electron can strike a fluorescent screen.What will be observed on the screen?

(a)a diffraction pattern
(b)a single flash as if the electron had moved in a straight line through the slit.
(c)a single flash that could occur anywhere on the screen.
(d)a single flash that would most likely occur where a corresponding diffraction pattern would have the highest intensity.

Homework Equations



a sinθ=λ

The Attempt at a Solution



(a)clearly wrong
(b)wrong as electron must have interacted with the slit
(c)It seems incorrect as it means that the flash can occur even at a remote end of the screen also where the electron may not possily reach...
(d)looks correct to me...

Please let me know if I am correct
 
Physics news on Phys.org
neelakash said:
Please let me know if I am correct

Yes, you are correct.

Eugene.
 

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