A paramagnetic sample shows a net magnetization of 8 Am^ -1 when … - Vidyadip

MCQ

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
$\frac{{32}}{3}\,A{m^{-1 }}$
✓
$\frac{2}{3}\,A{m^{-1}}$
C
$6\,A{m^{-1}}$
D
$2.4\,A{m^{-1}}$

✓

Answer

Correct option: B.

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

b
$\mathrm{I}=\chi \mathrm{H}$ and $\chi=\frac{\mathrm{C}}{\mathrm{T}}$ (according to curie law)

Magnetization $(I)$

$\propto \frac{\text { Magnetic Induction (B) }}{\text { Absolute temperature (T) }}$

$\frac{\mathrm{I}_{2}}{\mathrm{I}_{1}}=\frac{\mathrm{B}_{2} \mathrm{T}_{1}}{\mathrm{B}_{1} \mathrm{T}_{2}}$

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