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# Tell me? A paramagnetic material has 1028atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8 X 10-4. Its susceptibility at 300 K is :

A paramagnetic material has 1028 atoms/m3 . Its magnetic susceptibility at temperature 350 K is 2.8 X 10 -4. Its susceptibility at 300 K is :

• Option 1)

3.726 X 10-4

• Option 2)

3.672 X 10-4

• Option 3)

3.267 X 10-4

• Option 4)

2.672 X 10-4

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Curie's Law -

$\chi_{m}= \frac{C}{T}$

- wherein

C- Curie constant which depends upon the nature of the substance

T- absolute temperature

Suspectibility = X

Then $X\propto \frac{1}{T_{e}}$

So $\frac{X_{1}}{X_{2}} = \frac{T_{e2}}{T_{e1}}$

$T_{c}_{2}=300K, T_{c}_{1}=350K$

$X_{1}= 2.8 \times 10^{-4}$

$X_{2}= X_{1}(\frac{T_{c1}}{T_{c2}})=2.8\times 10^{-4}\times \frac{350}{300}$

$X_{2}\approx 3.3\times 10^{-4}$

Option 1)

3.726 X 10-4

Option 2)

3.672 X 10-4

Option 3)

3.267 X 10-4

Option 4)

2.672 X 10-4

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