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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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Light of wavelength 102.6 nm is emitted by a hydrogen atom. What are the (a) higher quantum number and (b) lower quantum number of the transition producing this emission? (c) What is the series that includes the transition?
What is the ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series?
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?
What are the (a) energy, (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom undergoes a transition from a state with n = 3 to a state with n = 1 ?
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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