# 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:

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

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

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