2. An electron is confined to a nanowire 2 nm in length. Model this system as a 1-D particle-in-a-box, going from 0 to 2 nm. a. Compute the probability that the electron is in the range 0.95 ≤ x ≤ 1.05 nm for the states n = 1, 2, 3.

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An electron is confined to a nanowire 2 nm in length. Model this system as a 1-D particle-in-a-box,
going from 0 to 2 nm.
a. Compute the probability that the electron is in the range 0.95 ≤ x ≤ 1.05 nm for the states n =
1, 2, 3.
b. Compute the probability that the electron is located within a distance of 0.05 nm of the left end
of the wire for each of the states n = 1, 10, 100.
Transcribed Image Text:2. An electron is confined to a nanowire 2 nm in length. Model this system as a 1-D particle-in-a-box, going from 0 to 2 nm. a. Compute the probability that the electron is in the range 0.95 ≤ x ≤ 1.05 nm for the states n = 1, 2, 3. b. Compute the probability that the electron is located within a distance of 0.05 nm of the left end of the wire for each of the states n = 1, 10, 100.
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