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

Given,

Magnetic susceptibility, ${\mathrm{\chi }}_{\mathrm{m}}=499$

Permeability in vacuum, ${\mathrm{\mu }}_0=4\mathrm{\pi }\times {10}^{-7}\mathrm{H}/\mathrm{m}$

Absolute permeability of the material,

$\mathrm{\mu }={\mathrm{\mu }}_0\left(1+{\mathrm{\chi }}_{\mathrm{m}}\right)$

$\begin{array}{c}\Rightarrow \mathrm{\mu }=4\mathrm{\pi }\times {10}^{-7}(1+499)\\ =4\mathrm{\pi }\times {10}^{-7}\times 500\\ =2\mathrm{\pi }\times {10}^{-4}\mathrm{H}/\mathrm{m}\end{array}$