An electron (mass m) is contained in a cubical box of widths Lx = Ly = Lz = L. It emits and absorbs light by making transitions among the lowest five energy levels. (a) How many different frequencies of light could the electron emit or absorb if it makes a transition between a pair of the lowest five energy levels? What multiple of h/8mL2 gives the (b) lowest, (c) second lowest, (d) third lowest, (e) highest, (f) second highest, and (g) third highest frequency? (a) Number Units none

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Chapter 39, Problem 029
An electron (mass m) is contained in a cubical box of widths Ly = Ly = Lz = L. It emits and absorbs light by making
transitions among the lowest five energy levels. (a) How many different frequencies of light could the electron emit or
absorb if it makes a transition between a pair of the lowest five energy levels? What multiple of h/8mL2 gives the (b)
lowest, (c) second lowest, (d) third lowest, (e) highest, (f) second highest, and (g) third highest frequency?
(a) Number
Units none
(b) Number
1
Units none
(c) Number 2
Units none
(d) Number 3
Units none
(e) Number [9
Units none
(f) Number [8
none
Units
(g) Number 6
Units none
Transcribed Image Text:Chapter 39, Problem 029 An electron (mass m) is contained in a cubical box of widths Ly = Ly = Lz = L. It emits and absorbs light by making transitions among the lowest five energy levels. (a) How many different frequencies of light could the electron emit or absorb if it makes a transition between a pair of the lowest five energy levels? What multiple of h/8mL2 gives the (b) lowest, (c) second lowest, (d) third lowest, (e) highest, (f) second highest, and (g) third highest frequency? (a) Number Units none (b) Number 1 Units none (c) Number 2 Units none (d) Number 3 Units none (e) Number [9 Units none (f) Number [8 none Units (g) Number 6 Units none
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