Question

The figure gives the magnetization curve for a paramagnetic material. The vertical axis scale is set by $a=0.15$, and the horizontal axis scale is set by $b=0.2$ T/K. Let ${\mu }_{sam}$ be the measured net magnetic moment of a sample of the material and ${\mu }_{max}$ be the maximum possible net magnetic moment of that sample.According to Curie’s law, what would be the ratio ${\mu }_{sam}/{\mu }_{max}$ were the sample placed in a uniform magnetic field of magnitude $0.800$ T, at a temperature of $2.00$ K?

Answer 1

The section explains the terms used in this problem and the connection between M and μ. The graph in Figure gives a slope of
$\frac{M/M_{max}}{B_{ext}/T}=\frac{0.15}{0.20T/K}=0.75K/T$
Thus ,we can write
$\frac{\mu }{{\mu }_{max}}=\left(0.75K/T\right)\frac{0.800T}{2.00K}=0.30$