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's 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

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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's
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's rest energy would give
the elec- tron's total energy and (d) would the
electron be relativistic?
Transcribed Image Text: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's 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's rest energy would give the elec- tron's total energy and (d) would the electron be relativistic?
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