Why is the following situation impossible? In the Bohr

Chapter 25, Problem 53

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QUESTION:

Why is the following situation impossible? In the Bohr model of the hydrogen atom, an electron moves in a circular orbit about a proton. The model states that the electron can exist only in certain allowed orbits around the proton: those whose radius r satisfies r 5 n2 (0.052 9 nm), where n 5 1, 2, 3, . . . . For one of the possible allowed states of the atom, the electric potential energy of the system is 213.6 eV.

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QUESTION:

Why is the following situation impossible? In the Bohr model of the hydrogen atom, an electron moves in a circular orbit about a proton. The model states that the electron can exist only in certain allowed orbits around the proton: those whose radius r satisfies r 5 n2 (0.052 9 nm), where n 5 1, 2, 3, . . . . For one of the possible allowed states of the atom, the electric potential energy of the system is 213.6 eV.

ANSWER:

Step 1 of 4

The radius of the orbit can be given as,

                                                           

For .

                                                       

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