1. Assume that an electron is trapped in an infinite potential well of the size of an atom (10-10m). a. Compare the probabilities of observing the electron within a width of Ax=1.5x10-11m if the electron is in the fourth excited state n=5 vs. its ground state n=1. b. Compare the energy levels between these two states. c. Calculate the most likely position of the electron and its average position, when its in its fourth excited state n=5.
1. Assume that an electron is trapped in an infinite potential well of the size of an atom (10-10m). a. Compare the probabilities of observing the electron within a width of Ax=1.5x10-11m if the electron is in the fourth excited state n=5 vs. its ground state n=1. b. Compare the energy levels between these two states. c. Calculate the most likely position of the electron and its average position, when its in its fourth excited state n=5.
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
Transcribed Image Text:1. Assume that an electron is trapped in an infinite potential well of the size of an atom
(10-10m).
a. Compare the probabilities of observing the electron within a width of Ax=1.5x10-11m
if the electron is in the fourth excited state n=5 vs. its ground state n=1.
b. Compare the energy levels between these two states.
c. Calculate the most likely position of the electron and its average position, when its in
its fourth excited state n=5.
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