The magnetic susceptibility of a material is $7.54 \times 10^{-3}$. The nature and relative permeability of the substance are:

An iron rod is placed parallel to a magnetic field intensity of $1000 \text{ A/m}$. The magnetic flux through the rod is $3 \times 10^{-4} \text{ Wb}$ and its cross-sectional area is $1.5 \text{ cm}^2$. The magnetic permeability of the rod in $\text{Wb/(A} \cdot \text{m)}$ is:

An iron rod of cross-sectional area $0.2 \, cm^2$ is subjected to a magnetizing field intensity of $1600 \, A \cdot m^{-1}$. If the magnetic flux produced in the rod is $2.4 \times 10^{-5} \, Wb$, what is the magnetic susceptibility of the material of the rod?

The relation between total magnetic field $(B)$, magnetic intensity $(H)$, permeability of free space $(\mu_0)$, and susceptibility $(\chi)$ is:

$A$ solenoid has a core of a material with relative permeability $400$. The windings of the solenoid are insulated from the core and carry a current of $2 \; A$. If the number of turns is $1000$ per metre,calculate $(a) \; H$,$(b) \; M$,$(c) \; B$ and $(d)$ the magnetising current $I_m$.

Explain the magnetic susceptibility $(\chi)$ of a material. From it,explain the relative magnetic permeability and magnetic permeability of the material. Obtain the relation between them.