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\( x_{1} \) and \( x_{2} \) are susceptibility of a paramagnetic material at temperatures \( T_{1} K \) and \( T_{2} K \)
respectively, then
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respectively, then
Solution:
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Verified Answer
The correct answer is:
\( x_{1} T_{1}=x_{2} T_{2} \)
Susceptibility is a dimensionless number. It is a measure of the extent to which a substance becomes magnetized.
Paramagnetic susceptibility \( \chi \) is given as
\[
\begin{array}{l}
\chi=\frac{N g^{2} \beta^{2} S(S+1)}{3 K T} \\
\Rightarrow \chi \propto \frac{1}{T} \text { or } \chi T \propto 1
\end{array}
\]
Therefore \( \chi_{1} T_{1}=\chi_{2} T_{2} \)
Paramagnetic susceptibility \( \chi \) is given as
\[
\begin{array}{l}
\chi=\frac{N g^{2} \beta^{2} S(S+1)}{3 K T} \\
\Rightarrow \chi \propto \frac{1}{T} \text { or } \chi T \propto 1
\end{array}
\]
Therefore \( \chi_{1} T_{1}=\chi_{2} T_{2} \)
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