Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 32 - Maxwell's Equations; Magnetism of Matter - Problems - Page 969: 42

Answer

$T=0.48 \mathrm{~K} .$

Work Step by Step

Let the, $$ K=\frac{3}{2} k T=\mid \vec{\mu} \cdot \vec{B}-(|-\vec{\mu} \cdot \vec{B}| \mid=\\2 \mu B $$ Now which leads to, $$ T=\frac{4 \mu B}{3 k}=\frac{4\left\{1.0 \times 10^{-23} \mathrm{~J} / \mathrm{T}||_{0.50 \mathrm{~T}}\right\}}{3\left\{1.38 \times 10^{-23} \mathrm{~J} / \mathrm{K} \|\right.}\\=0.48 \mathrm{~K} . $$
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