College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 28 - Quantum Mechanics and Atomic Physics - Learning Path Questions and Exercises - Conceptual Questions - Page 962: 11

Answer

According to the uncertainty principle, the product of uncertainty in position and the uncertainty in momentum is on the order of Plank's constant. A bowling ball's large diameter and momentum (mostly due to its large mass) make the uncertainty in them (determined by the extremely small value of Planck's constant) negligible. However, for an electron, with its very small mass, the uncertainty in both its location and momentum cannot be ignored.

Work Step by Step

According to the uncertainty principle, the product of uncertainty in position and the uncertainty in momentum is on the order of Plank's constant. A bowling ball's large diameter and momentum (mostly due to its large mass) make the uncertainty in them (determined by the extremely small value of Planck's constant) negligible. However, for an electron, with its very small mass, the uncertainty in both its location and momentum cannot be ignored.
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