The magnetic moment produced in a sample of 2 | vedclass

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Question

(D) The volume $V$ of the sample is given by the ratio of mass to density: $V = \frac{	ext{mass}}{	ext{density}} = \frac{2 	ext{ g}}{4 	ext{ g/cm}

Vedclass · Accepted Answer

$1.6$

Vedclass · Answer

(D) The volume $V$ of the sample is given by the ratio of mass to density: $V = \frac{	ext{mass}}{	ext{density}} = \frac{2 	ext{ g}}{4 	ext{ g/cm}^3} = 0.5 	ext{ cm}^3$.Converting the volume to $SI$ units: $V = 0.5 	imes 10^{-6} 	ext{ m}^3$.Magnetization $M$ is defined as the magnetic moment $m$ per unit volume $V$: $M = \frac{m}{V}$.Substituting the given values: $M = \frac{8 	imes 10^{-7} 	ext{ A} \cdot 	ext{m}^2}{0.5 	imes 10^{-6} 	ext{ m}^3} = 1.6 	ext{ A/m}$.

The magnetic moment produced in a sample of $2 \text{ g}$ is $8 \times 10^{-7} \text{ A} \cdot \text{m}^2$. If its density is $4 \text{ g/cm}^3$, then the magnetization of the sample is: (in $\text{ A/m}$)

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