If the magnetic susceptibility of a substance is $0.6$, then the ratio of permeability of the substance and permeability of free space is

$A$ solenoid of $500$ turns $/ m$ is carrying a current of $3 \ A$. Its core is made of iron which has a relative permeability of $5001$. The magnitude of magnetization is:

The magnetic induction and magnetising field intensity in a sample of magnetic material are $B$ and $H$ respectively. The magnetic susceptibility of the material is

When a piece of a ferromagnetic substance is placed in a uniform magnetic field,the flux density inside it is four times the flux density away from the piece. The magnetic permeability of the material is

Obtain the relation between magnetisation $\vec{M}$ and magnetic intensity $\vec{H}$ for a solenoid.

The magnetic induction and the intensity of the magnetic field inside an iron core of an electromagnet are $1 \ Wb \ m^{-2}$ and $150 \ A \ m^{-1}$, respectively. The relative permeability of iron is $(\mu_0 = 4 \pi \times 10^{-7} \ H \ m^{-1})$.