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

Question

A paramagnetic material has 1028 atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8 × 10-4. Its susceptibility at 300 K is : (A) 3.672 × 10-4 (B) 3.726 × 10-4 (C) 3.267 × 10-4 (D) 2.672 × 10-4

Tardigrade Admin · Accepted Answer

x propto (1/TC) curie law for paramagnetic substane (x1/x2) = (TC2/TC1) (2.8 × 10-4/x2) = (300/350) x2 (2.8 × 350 × 10-4/300) 3.266 × 10-4

Q. A paramagnetic material has $1 0^{28} a t o m s / m^{3}$ . Its magnetic susceptibility at temperature $350 K$ is $2.8 \times 1 0^{- 4}$ . Its susceptibility at $300 K$ is :

$3.672 \times 1 0^{- 4}$

$3.726 \times 1 0^{- 4}$

$3.267 \times 1 0^{- 4}$

$2.672 \times 1 0^{- 4}$

$x \propto \frac{1}{T _{C}}$
curie law for paramagnetic substane
$\frac{x _{1}}{x _{2}} = \frac{T _{C_{2}}}{T _{C_{1}}}$
$\frac{2.8 \times 1 0 ^{- 4}}{x _{2}} = \frac{300}{350}$
$x_{2} \frac{2.8 \times 350 \times 1 0 ^{- 4}}{300}$
$3.266 \times 1 0^{- 4}$

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

3.672×10−4

3.726×10−4

3.267×10−4

2.672×10−4