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Chapter 41: Q. 19 (page 1207)
An excited state of an atom has a lifetime. What is the probability that an excited atom will emit a photon during a interval?
The probability that an excited atom will emit a photon during a interval is
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Suppose you put five electrons into a -wide one dimensional rigid box (i.e., an infinite potential well).
a. Use an energy-level diagram to show the electron configuration of the ground state.
b. What is the ground-state energy that is, the total energy of all five electrons in the ground-state configuration?
Show that .
Two excited energy levels are separated by the very small energy difference . As atoms in these levels undergo quantum jumps to the ground state, the photons they emit have nearly identical wavelengths .
a. Show that the wavelengths differ by
b. In the Lyman series of hydrogen, what is the wavelength difference between photons emitted in the to transition and photons emitted in the to transition?
A hydrogen atom has orbital angular momentum
a. What letter describes the electron?
b. What is the atom鈥檚 minimum possible energy? Explain.
The hydrogen atomwave function is a maximum at. But the radial probability density, shown peaks at and is zero at. Explain this paradox.
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