The magnetic susceptibility of a paramagnetic | vedclass

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(C) According to Curie's Law,the magnetic susceptibility $\chi$ of a paramagnetic material is inversely proportional to its absolute temperature $T$,i

Vedclass · Accepted Answer

$0.015$

Vedclass · Answer

(C) According to Curie's Law,the magnetic susceptibility $\chi$ of a paramagnetic material is inversely proportional to its absolute temperature $T$,i.e.,$\chi \propto \frac{1}{T}$.Given:$\chi_{1} = 0.0075$$T_{1} = -73^{\circ} C = (-73 + 273) K = 200 K$$T_{2} = -173^{\circ} C = (-173 + 273) K = 100 K$Using the relation $\frac{\chi_{1}}{\chi_{2}} = \frac{T_{2}}{T_{1}}$:$\frac{0.0075}{\chi_{2}} = \frac{100 K}{200 K}$$\frac{0.0075}{\chi_{2}} = \frac{1}{2}$$\chi_{2} = 2 	imes 0.0075 = 0.015$Thus,the magnetic susceptibility at $-173^{\circ} C$ is $0.015$.

The magnetic susceptibility of a paramagnetic material at $-73^{\circ} C$ is $0.0075$. What will be its value at $-173^{\circ} C$?

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