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An Alternate Statement of the Uncertainty Principle Involves Relationship Between Δ\Delta

Question 32

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An alternate statement of the uncertainty principle involves relationship between position Δ\Delta x) and momentum Δ\Delta p) uncertainties in the form  An alternate statement of the uncertainty principle involves relationship between position  \Delta x)  and momentum  \Delta p)  uncertainties in the form   . Suppose that a 40-kg runner in an imaginary world in which Planck's constant has the value 100 J • s must be located at the finish line to an accuracy of ± 0.33 m to be sure that she won the race. What would be the minimal uncertainty in the speed in that world? A)  0.12 m/s B)  0.13 m/s C)  0.60 m/s D)  1.2 m/s E 15 m/s . Suppose that a 40-kg runner in an imaginary world in which Planck's constant has the value 100 J • s must be located at the finish line to an accuracy of ± 0.33 m to be sure that she won the race. What would be the minimal uncertainty in the speed in that world?


A) 0.12 m/s
B) 0.13 m/s
C) 0.60 m/s
D) 1.2 m/s E 15 m/s

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