$A$ solenoid having $400$ turns per metre has a core of a material with relative permeability $400$. When a current of $0.5 \ A$ is passed through it,the magnetization of the core material in $Am^{-1}$ is nearly

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

$A$ rod of ferromagnetic material with dimensions $10 \, cm \times 0.5 \, cm \times 0.2 \, cm$ is placed in a magnetic field of strength $0.5 \times 10^4 \, A/m$. As a result,a magnetic moment of $5 \, A \cdot m^2$ is produced in the rod. The value of the total magnetic induction will be (in $Tesla$):

$A$ magnetizing field of $2 \times 10^3 \, A/m$ produces a magnetic flux density of $8 \pi \, T$ in an iron rod. The relative permeability of the rod will be -

The magnetic field $B$ and the magnetic intensity $H$ in a material are found to be $1.6 \ T$ and $1000 \ A/m$ respectively. Calculate the relative permeability $\mu_{r}$ of the material.

The dipole moment of each molecule of a paramagnetic gas is $1.5 \times 10^{-23} \, A \cdot m^2$. The temperature of the gas is $27 \, ^\circ C$ and the number of molecules per unit volume is $2 \times 10^{26} \, m^{-3}$. The maximum possible intensity of magnetization in the gas will be: