Question

The magnetic susceptibility of a paramagnetic material at $-{73}^{\circ }C$ is $0.0075$ and its value at $-{173}^{\circ }C$ will be

• A. $0.0045$
• B. $0.0030$
• C. $0.015$
• D. $0.0075$

Answer 1

The correct option is C $0.015$

For paramagnetic material $\chi$ $T=$ constant

$⟹$ ${\chi }_1{T}_1={\chi }_2{T}_2$

Given : ${\chi }_1=0.0075$ @ $T_1=-{73}^{o}C=273-73=200$ $K$

Also $T_2=-{173}^{o}C=273-173=100$ $K$

$\therefore$ $\left(0.0075\right)\left(200\right)={\chi }_2\left(100\right)$

$⟹$ ${\chi }_2=0.015$