A paramagnetic material has 10^{28} text{ ato | vedclass

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(A) 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

$3.267 	imes 10^{-4}$

Vedclass · Answer

(A) According to Curie's Law,the magnetic susceptibility $\chi$ of a paramagnetic material is inversely proportional to its absolute temperature $T$,i.e.,$\chi \propto \frac{1}{T}$.Therefore,we can write the relation as $\chi_1 T_1 = \chi_2 T_2$.Given:$\chi_1 = 2.8 	imes 10^{-4}$$T_1 = 350 	ext{ K}$$T_2 = 300 	ext{ K}$Substituting the values:$\chi_2 = \frac{\chi_1 T_1}{T_2} = \frac{2.8 	imes 10^{-4} 	imes 350}{300}$$\chi_2 = \frac{2.8 	imes 10^{-4} 	imes 7}{6}$$\chi_2 = 3.2666... 	imes 10^{-4} \approx 3.267 	imes 10^{-4}$.

$A$ paramagnetic material has $10^{28} \text{ atoms/m}^3$. Its magnetic susceptibility at temperature $350 \text{ K}$ is $2.8 \times 10^{-4}$. Its susceptibility at $300 \text{ K}$ is

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