Question

At a temperature of ${27}^o$C, the susceptibility of a ferromagnetic material is found to be $\chi$. Its susceptibility at temperature ${177}^o$C is?

• A. $\frac{\chi }{2}$
• B. $\frac{3}{2}\chi$
• C. $2\chi$
• D. $4\chi$

Answer 1

Answer: (B)

$\frac{3}{2}\chi$

Susceptibility of a ferromagnetic material is inversely proportional to be absolute temperature.
i.e., $\chi \propto \frac{1}{T}$
$\therefore \frac{{\chi }_1}{{\chi }_2}=\frac{T_2}{T_1}=\frac{27+273}{177+273}=\frac{300}{450}=\frac{2}{3}$
$\therefore {\chi }_2=\frac{3}{2}{\chi }_1=\frac{3}{2}\chi$.