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Chapter 39: Q38P (page 1216)
An atom (not a hydrogen atom) absorbs a photon whose associated frequency is . By what amount does the energy of the atom increase?
The energy of the atom is increased by .
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For what value of the principal quantum number n would the effective radius, as shown in a probability density dot plot for the hydrogen atom, be 1.00 mm? Assume that has its maximum value of n-1. (Hint:See Fig.39-24.)
(a) Show that the terms in Schr枚dinger鈥檚 equation (Eq. 39-18) have the same dimensions. (b) What is the common SI unit for each of these terms?
What is the ground-state energy of (a) an electron and (b) a proton if each is trapped in a one-dimensional infinite potential well that is 200 wide?
An atom (not a hydrogen atom) absorbs a photon whose associated wavelength is 375 nm and then immediately emits a photon whose associated wavelength is 580 nm . How much net energy is absorbed by the atom in this process?
An electron is confined to a narrow-evacuated tube of length 3.0 m; the tube functions as a one-dimensional infinite potential well. (a) What is the energy difference between the electron鈥檚 ground state and its first excited state? (b) At what quantum number n would the energy difference between adjacent energy levels be 1.0 ev-which is measurable, unlike the result of (a)? At that quantum number, (c) What multiple of the electron鈥檚 rest energy would give the electron鈥檚 total energy and (d) would the electron be relativistic?
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