Magnetism Question 281

Question: The magnetic susceptibility of a paramagnetic substances at $ -73{}^\circ ,C $ is 0.0060, then its value at - $ 173{}^\circ C $ will be

Options:

A) 0.0030

B) 0.0120

C) 0.0180

D) 0.0045

Show Answer

Answer:

Correct Answer: B

Solution:

[b] As magnetic susceptibility $ {\chi _{m}}\propto \frac{1}{T} $ ,

Therefore $ \frac{{\chi _{2}}}{{\chi _{1}}}=\frac{T _{1}}{T _{2}}\Rightarrow \frac{{\chi _{2}}}{0.0060}=\frac{273-73}{273-173}=\frac{200}{100}=2 $

$ {\chi _{2}}=2\times 0.0060=0.0120 $