
The width of the central bright fringe in a diffraction pattern on a screen is identical when either electron?
The width of the central bright fringe in a diffraction pattern on a screen is identical when either electron or light (vacuum wavelength = 512 nm) pass through a single slit. The distance between the screen and the slit is the same in each case and is large compared to the slit width. How fast are the electrons moving?
I know that this problem may seem tricky but it it's actually really simple. All that it is saying is that you can use the wavelength from the light for the electrons. So, you know about momentum, right?
p = mv
AND
p = h/λ
(h is Planck's constant, 6.63 x 10^-34)
Use the second equation first:
p = 6.63 x 10^-34 / 512 x 10^-9
And you can get p (momentum). Now use that momentum and set it equal to mv.
The mass of an electron is 9.11x10^-31. All you have to do is solve for v. It's really simple. I got a question identical to that one in my physics book. I did what I just showed you and I got the right answer so you should too. Good luck!
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