The magnetic susceptibility is defined as:

$A$ bar magnet has length $3 \,cm$, cross-sectional area $2 \,cm^2$ and magnetic moment $3 \,Am^2$. The intensity of magnetization of the bar magnet is

Give the unit and dimensional formula of magnetisation.

$A$ rod of ferromagnetic material with dimensions $10 \, cm \times 0.5 \, cm \times 0.2 \, cm$ is placed in a magnetic field of strength $0.5 \times 10^4 \, Am^{-1}$. As a result,a magnetic moment of $5 \, Am^2$ is produced in the rod. The value of magnetic induction will be.... $T$

The relationship between the magnetic susceptibility $(\chi)$ and the magnetic permeability $(\mu)$ is given by (where $\mu_0$ is the permeability of free space and $\mu_{r}$ is relative permeability).

$A$ magnetizing field of $100 \,A/m$ produces a magnetic flux of $2.4 \times 10^{-5} \,Wb$ in an iron bar of cross-sectional area $0.3 \,cm^2$. The magnetic permeability of the iron bar in the $SI$ unit is