The magnetic susceptibility of a paramagnetic | vedclass

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

Vedclass · Accepted Answer

$200$

Vedclass · Answer

(C) According to Curie's Law,the magnetic susceptibility $\chi_m$ of a paramagnetic substance is inversely proportional to its absolute temperature $T$,i.e.,$\chi_m \propto \frac{1}{T}$.Given:Initial temperature $T_1 = -173^{\circ} C = (-173 + 273) K = 100 K$.Initial susceptibility $\chi_{m1} = 1.5 	imes 10^{-2}$.Final susceptibility $\chi_{m2} = 0.5 	imes 10^{-2}$.Using the relation $\chi_{m1} T_1 = \chi_{m2} T_2$:$(1.5 	imes 10^{-2}) 	imes 100 = (0.5 	imes 10^{-2}) 	imes T_2$.$T_2 = \frac{1.5 	imes 100}{0.5} = 300 K$.Converting $T_2$ to Celsius: $T_2 = 300 K - 273 = 27^{\circ} C$.The change in temperature $\Delta T = T_2 - T_1 = 27^{\circ} C - (-173^{\circ} C) = 200^{\circ} C$.

The magnetic susceptibility of a paramagnetic substance at $-173^{\circ} C$ is $1.5 \times 10^{-2}$. To have the susceptibility $0.5 \times 10^{-2}$,the change in temperature in ${ }^{\circ} C$ is

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