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Chapter 39: Q5P (page 1215)
What must be the width of a one-dimensional infinite potential well if an electron trapped in it in the state is to have an energy of 4.7 eV ?
0.85 nm
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A hydrogen atom is in the third excited state. To what state (give the quantum number n) should it jump to (a) emit light with the longest possible wavelength, (b) emit light with the shortest possible wavelength, and (c) absorb light with the longest possible wavelength?
Figure 39-26 indicates the lowest energy levels (in electronvolts) for five situations in which an electron is trapped in a one-dimensional infinite potential well. In wells B, C, D, and E, the electron is in the ground state. We shall excite the electron in well A to the fourth excited state (at 25 eV). The electron can then de-excite to the ground state by emitting one or more photons, corresponding to one long jump or several short jumps. Which photon emission energies of this de-excitation match a photon absorption energy (from the ground state) of the other four electrons? Give then values.
A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of 0.85 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of . (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission?
A hydrogen atom can be considered as having a central point- like proton of positive charge eand an electron of negative charge -ethat is distributed about the proton according to the volume charge density. Hereis a constant,, andris the distance from the center of the atom.
(a) Using the fact that the hydrogen is electrically neutral, find A. the
(b) Then find magnitude
(c) Then find direction of the atom鈥檚 electric field at.
An electron is trapped in a one-dimensional infinite well of width and is in its ground state. What are the (a) longest, (b) second longest, and (c) third longest wavelengths of light that can excite the electron from the ground state via a, single photon absorption?
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