Question

The magnetic susceptibility of a paramagnetic material at $-{73}^0$ is $0.0075$, its value at $-{173}^0$C will be

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

Answer 1

Answer: (C)

$0.015$

Given,

$X=0.0075atT=-{73}^{\circ }$

Curie's law, $X=\frac{C}{T}$

$X_1\propto \frac{1}{T_1}$

$\therefore \frac{X_1}{X_2}=\frac{T_2}{T_1}$

$X_2=X_1\times \frac{T_1}{T_2}=0.0075\times \frac{273-73}{2.73-173}=0.015$