The electron microscope can "see" smaller detail than an optical microscope because the wavelength of the electron can be made much shorter than visible light. Now consider the possibility of a proton microscope. By what potential difference (in volts) must A) a proton and B) an electron be accelerated to give a wavelength of 5x10-12m? Can you think of a reason why we have electron microscopes, but do not commonly have proton microscopes?
So the important concept here is of de-Broglie wavelength and the hypothesis.
Now,
. So plugging in the values one gets, .
Reason for electron microscope is source. Electron sources are readily available than proton source, and the workfunction of the material is much lower. Typically few ~
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