The absolute magnetic permeability of a material is 4π × 10^ -4...

The relative permeability $\mu_r$ of the material is given by the ratio of its absolute permeability to the permeability of free space:

$\mu_r = \dfrac{\mu}{\mu_0}$

$\mu_r = \dfrac{4\pi \times 10^{-4}}{4\pi \times 10^{-7}} = 1000$

The relation between relative permeability and magnetic susceptibility $\chi$ is:

$\mu_r = 1 + \chi$

$\chi = \mu_r - 1$

$\chi = 1000 - 1 = 999$

Answer: $999$