College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 1 - Problems - Page 23: 91

Answer

a) $\sqrt \frac{hG}{c^{5}}$ b) $1.3\times10^{-43}s$

Work Step by Step

a) Through trial and error, we find that the combination of G,c and h that has dimensions of time is $\sqrt \frac{hG}{c^{5}}$ b) Calculating the time of the same = $\sqrt \frac{hG}{c^{5}}=\sqrt \frac{(6.6\times10^{-34})\times (6.7\times10^{-11})}{3.8\times10^{8}}=1.3\times10^{-43}s$
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