(x) = Ae¯(xla)² Ае 00 [e¯(xta)² ] dx = a√ñ ✓ 00-

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
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Chapter1: Introduction: The Nature Of Science And Physics
Section: Chapter Questions
Problem 17PE: State how many significant figures are proper in the results of the following calculations: (a)...
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Suppose a quanton's wavefunction psi(x) at a given time is shown below, where A is an unspecified constant and a = 1.5 nanometers. My table of integrals shows the result below. If we perform an experiment to locate the quanton at this time, what would be the probability of a result within +/- 0.1 nanometers of the origin? (Hint: note that 0.1 nanometers is pretty small compared to the range over which the exponential varies significantly. You should not therefore have to actually calculate an integral.)

(Hint: the answer is 7.5%)

(x) = Ae¯(xla)²
Ае
Transcribed Image Text:(x) = Ae¯(xla)² Ае
00
[e¯(xta)² ] dx = a√ñ
✓
00-
Transcribed Image Text:00 [e¯(xta)² ] dx = a√ñ ✓ 00-
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