$A$ cylindrical magnetic rod has length $5 \ cm$ and diameter $1 \ cm$. It has uniform magnetization $M = 5.3 \times 10^{3} \ A/m$. Its net magnetic dipole moment is nearly (take $\pi = 22/7$):

$A$ bar magnet is cut into two equal parts. Then,which of the following quantities may change?

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.

What happens when a small bar magnet is kept on a glass plate and iron filings are sprinkled on it?

Two magnets,each of magnetic moment $M$,are placed so as to form a cross at right angles to each other. The magnetic moment of the system will be

What does the analogy of a bar magnet's and a solenoid's magnetic field lines suggest?