The magnetic susceptibility of a material

Question:

The magnetic susceptibility of a material of a rod is 499 . Permeability in vacuum is $4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}$. Absolute permeability of the material of the rod is :

  1. $4 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

  2. $2 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

  3. $3 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

  4. $\pi \times 10^{-4} \mathrm{H} / \mathrm{m}$


Correct Option: , 2

Solution:

$\mu=\mu_{0}\left(1+x_{m}\right)$

$=4 \pi \times 10^{-7} \times 500$

$=2 \pi \times 10^{-4} \mathrm{H} / \mathrm{m}$

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