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Chapter 38, Problem 4Q
To determine

The reason for the baseball to have a well-defined position and speed, whereas an electron does not based on the uncertainty principle.

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Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.60 J s and thus quantum physics affects macroscopic objects. What would be the uncertainty in the position of a 0.50 kg baseball that is moving at 20 m/s along an axis if the uncertainty in the speed is 1.0 m/s?
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The treatment of electrons in atoms must be a quantum treatment, but classical physics still works for baseballs. Where is the dividing line? Suppose we consider a spherical virus, with a diameter of 30 nm, constrained to exist in a long, narrow cell of length 1.0 μm. If we treat the virus as a particle in a box, what is the lowest energy level? Is a quantum treatment necessary for the motion of the virus?
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