When a magnetic material is subjected to a magnetizing field of...

The magnetic susceptibility $\chi$ is defined as the ratio of magnetization $M$ to the magnetizing field intensity $H$.

$\chi = \dfrac{M}{H}$

Given:
$M = 8 \times 10^3 \text{ A/m}$
$H = 2 \times 10^3 \text{ A/m}$

$\chi = \dfrac{8 \times 10^3}{2 \times 10^3} = 4$

The relative magnetic permeability $\mu_r$ is related to susceptibility by:
$\mu_r = 1 + \chi$
$\mu_r = 1 + 4 = 5$

The absolute magnetic permeability $\mu$ is given by:
$\mu = \mu_0 \mu_r = 5\mu_0$

Answer: $5\mu_0$