If chi_1,chi_2,and chi_3 are the magnetic sus | vedclass

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Question

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

Vedclass · Accepted Answer

$\chi_1 : \chi_2 = T_2 : T_1, \chi_2 : \chi_3 = T_3 : T_2$

Vedclass · Answer

(C) According to Curie's Law,the magnetic susceptibility $\chi$ of a paramagnetic material is inversely proportional to its absolute temperature $T$.Mathematically,$\chi \propto \frac{1}{T}$ or $\chi T = 	ext{constant}$.Therefore,for temperatures $T_1, T_2,$ and $T_3$,we have $\chi_1 T_1 = \chi_2 T_2 = \chi_3 T_3$.From $\chi_1 T_1 = \chi_2 T_2$,we get $\frac{\chi_1}{\chi_2} = \frac{T_2}{T_1}$,which implies $\chi_1 : \chi_2 = T_2 : T_1$.From $\chi_2 T_2 = \chi_3 T_3$,we get $\frac{\chi_2}{\chi_3} = \frac{T_3}{T_2}$,which implies $\chi_2 : \chi_3 = T_3 : T_2$.Thus,the correct relation is $\chi_1 : \chi_2 = T_2 : T_1$ and $\chi_2 : \chi_3 = T_3 : T_2$.

If $\chi_1$,$\chi_2$,and $\chi_3$ are the magnetic susceptibilities of a paramagnetic material at temperatures $T_1 \ K$,$T_2 \ K$,and $T_3 \ K$ respectively,then which of the following relations is correct?

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