Question

The magnetic susceptibility of a rod is $499.$ The absolute permeability of vacuum is ${\mu }_0=4\pi \times {10}^{-7}{\text{Hm}}^{-1}.$ The absolute permeability of the material of the rod is-

• A. $4\pi \times {10}^{-4}{\text{Hm}}^{-1}$
• B. $3\pi \times {10}^{-4}{\text{Hm}}^{-1}$
• C. $2\pi \times {10}^{-4}{\text{Hm}}^{-1}$
• D. $\pi \times {10}^{-4}{\text{Hm}}^{-1}$

Answer 1

The correct option is C $2\pi \times {10}^{-4}{\text{Hm}}^{-1}$

Given, $\chi =499;{\mu }_0=4\pi \times {10}^{-7}$

The absolute permeability of the material of the rod is,

$\mu ={\mu }_0(1+\chi )$

$=4\pi \times {10}^{-7}\left(500\right)$

$=2\pi \times {10}^{-4}{\text{Hm}}^{-1}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(C\right)$ is the correct answer.