A paramagnetic sample shows a net magnetization of 8 Am-1 when placed in an external magnetic field of 0.6 T at a temperature of 4 K. When the same sample is placed in an external magnetic field of 0.2 T at a temperature of 16 K. the magnetization will be

Question

A paramagnetic sample shows a net magnetization of 8 Am-1 when placed in an external magnetic field of 0.6 T at a temperature of 4 K. When the same sample is placed in an external magnetic field of 0.2 T at a temperature of 16 K. the magnetization will be (A) (32/3) Am-1 (B) (2/3) Am-1 (C) 6 Am-1 (D) 2.4 Am-1

Tardigrade Admin · Accepted Answer

I propto (B/T) (I2/I1)=(B2/B1) × (T1/T2) I2=(2/3) A / m

Q. A paramagnetic sample shows a net magnetization of $8 A m^{- 1}$ when placed in an external magnetic field of $0.6 T$ at a temperature of $4 K$ . When the same sample is placed in an external magnetic field of $0.2 T$ at a temperature of $16 K$ . the magnetization will be

$\frac{32}{3} A m^{- 1}$

$\frac{2}{3} A m^{- 1}$

$6 A m^{- 1}$

$2.4 A m^{- 1}$

$I \propto \frac{B}{T}$
$\frac{I _{2}}{I _{1}} = \frac{B _{2}}{B _{1}} \times \frac{T _{1}}{T _{2}}$
$I_{2} = \frac{2}{3} A / m$

Q. A paramagnetic sample shows a net magnetization of 8Am−1 when placed in an external magnetic field of 0.6T at a temperature of 4K. When the same sample is placed in an external magnetic field of 0.2T at a temperature of 16K. the magnetization will be

332​Am−1

32​Am−1

6Am−1

2.4Am−1