Question

The susceptibility of paramagnetic material is $\chi$ at ${27}^{o}C.$ At what temperature will its susceptibility be $\frac{\chi }{2}$ ?

• A. ${327}^{o}C$
• B. ${54}^{o}C$
• C. ${237}^{o}C$
• D. ${1600}^{o}C$

Answer 1

The correct option is B ${54}^{o}C$

For paramagnetic material,

$\chi =\frac{I}{T}$

$\therefore \frac{{\chi }_1}{{\chi }_2}=\frac{T_2}{T_1}\Rightarrow \frac{\chi }{\chi /2}=\frac{T_2}{27}$

$27\times 2=T_2$

$T_2={54}^{o}C$