College Physics (4th Edition)

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

Chapter 1 - Multiple-Choice Questions: 9

Answer

The correct answer is (b) $kg\cdot m^2 \cdot s^{-2}\cdot K^{-1}$

Work Step by Step

$v = \sqrt{\gamma ~k_B ~T / m}$ Let $x$ be the units of $k_B$ $m/s = \sqrt{(x)(K)/kg}$ $m^2/s^2 = (x)(K)/kg$ $x = \frac{kg\cdot m^2}{s^2\cdot K} = kg\cdot m^2 \cdot s^{-2}\cdot K^{-1}$ The correct answer is (b) $kg\cdot m^2 \cdot s^{-2}\cdot K^{-1}$
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