79. a) Assume an electron in the ground state of the hydrogen atom moves at an average speed of 5.00×106 m/s. If the speed is known to an uncertainty of 1 percent, what is the minimum uncertainty in its position? The radius of the hydrogen atom in the ground state is 5.29×10−11 m. The mass of an electron is 9.1094×10−31 kg. (b) A 0.16−kg baseball thrown at 100 mph has a momentum of 7.2 kg·m/s. If the uncertainty in measuring the mass is 1.0×10^−7 of the mass, calculate the uncertainty in the baseball's position.
79. a) Assume an electron in the ground state of the hydrogen atom moves at an average speed of 5.00×106 m/s. If the speed is known to an uncertainty of 1 percent, what is the minimum uncertainty in its position? The radius of the hydrogen atom in the ground state is 5.29×10−11 m. The mass of an electron is 9.1094×10−31 kg. (b) A 0.16−kg baseball thrown at 100 mph has a momentum of 7.2 kg·m/s. If the uncertainty in measuring the mass is 1.0×10^−7 of the mass, calculate the uncertainty in the baseball's position.
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter29: Introduction To Quantum Physics
Section: Chapter Questions
Problem 63PE: (a) If the position of a chlorine ion in a membrane is measured to an accuracy of 1.00 m, what is...
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79.
a) Assume an electron in the ground state of the hydrogen atom moves at an average speed of 5.00×106 m/s.
If the speed is known to an uncertainty of 1 percent, what is the minimum uncertainty in its position?
The radius of the hydrogen atom in the ground state is 5.29×10−11 m. The mass of an electron is 9.1094×10−31 kg.
(b) A 0.16−kg baseball thrown at 100 mph has a momentum of 7.2 kg·m/s. If the uncertainty in measuring the mass is 1.0×10^−7 of the mass, calculate the uncertainty in the baseball's position.
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