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A research project you are working on requires that an electron have a wave function represented by
4(x)
√ Ae-bx for x ≥ 0
Ae+bx
for x < 0
=
The experiment requires that the electron have a 87.0% chance of being within a distance of a 7.50 cm from x = 0, on either side of this center point. From this information, you need to determine
numerical values for b (in m-1) and the normalization constant A (in m-1/2) for the wave function.
(a) b
m-1
(b) the normalization constant A
m-1/2
Transcribed Image Text:A research project you are working on requires that an electron have a wave function represented by 4(x) √ Ae-bx for x ≥ 0 Ae+bx for x < 0 = The experiment requires that the electron have a 87.0% chance of being within a distance of a 7.50 cm from x = 0, on either side of this center point. From this information, you need to determine numerical values for b (in m-1) and the normalization constant A (in m-1/2) for the wave function. (a) b m-1 (b) the normalization constant A m-1/2
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