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

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When a single electron with a de Broglie wavelength passes through a slit of width equal to 2λ, the expected observation on the fluorescent screen is a single flash that is most likely to occur where the corresponding diffraction pattern has the highest intensity. The options for what can be observed include a diffraction pattern, a single flash in a straight line, a random flash anywhere on the screen, or a flash aligned with the diffraction pattern's peak intensity. The first two options are incorrect, as the electron interacts with the slit and does not behave as if it moved in a straight line. The random flash option is also deemed incorrect due to the constraints of the electron's path. Thus, the correct observation aligns with the diffraction pattern's intensity distribution.
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
 
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neelakash said:
Please let me know if I am correct

Yes, you are correct.

Eugene.
 

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