Solution: In the beginning of the twentieth century, some

Chapter 7, Problem 7.149

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In the beginning of the twentieth century, some scientists thought that a nucleus may contain both electrons and protons. Use the Heisenberg uncertainty principle to show that an electron cannot be confined within a nucleus. Repeat the calculation for a proton. Comment on your results. Assume the radius of a nucleus to be 1.0 3 10215 m. The masses of an electron and a proton are 9.109 3 10231 kg and 1.673 3 10227 kg, respectively. (Hint: Treat the diameter of the nucleus as the uncertainty in position.)

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