An atom has a radius in the order of 0.04 nm. Assuming that we know the position of the atom to an accuracy of 1% of it’s radius, using the Heisenberg uncertainty principle, calculate the uncertainty in the velocity of the atom Compare your value above with the uncertainty in the velocity of a football mass 0.4 kg and radius 5cm whose position is known to an accuracy of 1% of its radius

Chemistry: Principles and Practice
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Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
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Chapter7: Electronic Structure
Section: Chapter Questions
Problem 7.44QE
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An atom has a radius in the order of 0.04 nm. Assuming that we know the position of the atom to an accuracy of 1% of it’s radius, using the Heisenberg uncertainty principle, calculate the uncertainty in the velocity of the atom

 

 

Compare your value above with the uncertainty in the velocity of a football mass 0.4 kg and radius 5cm whose position is known to an accuracy of 1% of its radius

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