$A$ rod of length $5 \, cm$ and diameter $1 \, cm$ has a magnetization of $5.30 \times 10^3 \, A/m$. What is its magnetic moment?

Verify Ampere's law for the magnetic field of a point dipole with dipole moment $\vec{M} = M\hat{k}$. Take $C$ as the closed curve running clockwise along the $x$-axis from $x = R$ to $x = a$,then along a circular arc of radius $r$ in the $xz$-plane from $\theta = 0$ to $\theta = \pi$,and finally back to the starting point.

$A$ short bar magnet has a magnetic moment of $0.48 \, J \, T^{-1}$. The magnitude of magnetic field at a point at $10 \, cm$ distance from the centre of the magnet on its axis is

The time period of a freely suspended magnet is $4 \ s$. If it is broken in length into two equal parts and one part is suspended in the same way,then its time period will be: (in $s$)

$A$ steel wire of length $l$ and magnetic moment $M$ is bent into a semicircular arc of radius $R$. The new magnetic moment is

If two identical bar magnets, each of length $l$, pole strength $m$ and magnetic moment $M$ are placed perpendicular to each other with their unlike poles in contact, the magnetic moment of the combination is