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(B) According to Curie's Law for paramagnetic materials,the magnetic susceptibility $\chi$ is inversely proportional to the absolute temperature $T$,i

Vedclass · Accepted Answer

$0.75$

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(B) According to Curie's Law for paramagnetic materials,the magnetic susceptibility $\chi$ is inversely proportional to the absolute temperature $T$,i.e.,$\chi \propto \frac{1}{T}$.The magnetization $M$ is related to the external magnetic field $B$ and susceptibility $\chi$ by the relation $M = \chi H$,where $H = \frac{B}{\mu_0}$. Since $\mu_0$ is constant,we can write $M \propto \frac{B}{T}$.Given:$M_1 = 6 \, A/m$,$B_1 = 0.4 \, T$,$T_1 = 4 \, K$$M_2 = ?$,$B_2 = 0.3 \, T$,$T_2 = 24 \, K$Using the ratio $\frac{M_1}{M_2} = \frac{B_1 / T_1}{B_2 / T_2} = \frac{B_1 T_2}{B_2 T_1}$:$\frac{6}{M_2} = \frac{0.4 	imes 24}{0.3 	imes 4}$$\frac{6}{M_2} = \frac{9.6}{1.2} = 8$$M_2 = \frac{6}{8} = 0.75 \, A/m$.

List-$I$ (Material)	List-$II$ (Susceptibility $(\chi)$)
$A$. Diamagnetic	$I$. $\chi=0$
$B$. Ferromagnetic	$II$. $0 > \chi \geq -1$
$C$. Paramagnetic	$III$. $\chi >> 1$
$D$. Non-magnetic	$IV$. $0 < \chi < \varepsilon$ (a small positive number)

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