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Use the uncertainty principle to show that if an electron were present in the nucleus $(r \approx 10^{-15} \textrm{ m})$, its kinetic energy (use relativity) would be hundreds of MeV. (Since such electron energies are not observed, we conclude that electrons are not present in the nucleus.) [Hint: Assume a particle can have an energy as large as its uncertainty.]

Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014. Reprinted by permission of Pearson Education Inc., New York.
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Quick Answer: 

$200 \textrm{ MeV}$

Giancoli 7th Edition, Chapter 28, Problem 14


Chapter 28, Problem 14 is solved.

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