A paramagnetic material has 1028 atoms m- 3 . 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 m- 3 . Its magnetic susceptibility at temperature 350 K is 2.8× 10- 4 . Its susceptibility at 300 K is (A) 3.726× 10- 4 (B) 2.672× 10- 4 (C) 3.267× 10- 4 (D) 3.672× 10- 4

Tardigrade Admin · Accepted Answer

From Curie's law chi propto (1/T) ( chi2/ chi1)=(T1/T2) chi2= chi1⋅ (T1/T2)= text2.8× 10- 4× (350/300)= text3.267× 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

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

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

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

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

From Curie's law
$χ \propto \frac{1}{T}$
$\frac{χ _{2}}{χ _{1}} = \frac{T _{1}}{T _{2}}$
$χ_{2} = χ_{1} \cdot \frac{T _{1}}{T _{2}} = 2.8 \times 1 0^{- 4} \times \frac{350}{300} = 3.267 \times 1 0^{- 4}$

Q. A paramagnetic material has 1028atomsm−3 . Its magnetic susceptibility at temperature 350K is 2.8×10−4 . Its susceptibility at 300K is

3.726×10−4

2.672×10−4

3.267×10−4

3.672×10−4