10. An electron at rest is released far from a proton, toward which it moves. (a) Show that the de Broglie wavelength of the electron is proportional to r, where r is the distance of the electron from the proton. (b) Find the wavelength of the elec- tron when it is ao from the proton. How does this compare with the wavelength of an electron in a ground-state Bohr or- bit? (c) In order for the electron to be captured by the proton to form a ground-state hydrogen atom, energy must be lost by the system. How much energy? away
10. An electron at rest is released far from a proton, toward which it moves. (a) Show that the de Broglie wavelength of the electron is proportional to r, where r is the distance of the electron from the proton. (b) Find the wavelength of the elec- tron when it is ao from the proton. How does this compare with the wavelength of an electron in a ground-state Bohr or- bit? (c) In order for the electron to be captured by the proton to form a ground-state hydrogen atom, energy must be lost by the system. How much energy? away
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Transcribed Image Text:10. An electron at rest is released far away from a proton, toward
which it moves. (a) Show that the de Broglie wavelength of the
electron is proportional to r, where r is the distance of the
electron from the proton. (b) Find the wavelength of the elec-
tron when it is ao from the proton. How does this compare
with the wavelength of an electron in a ground-state Bohr or-
bit? (c) In order for the electron to be captured by the
to form a ground-state hydrogen atom, energy must be lost by
the system. How much energy?
proton
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