$A$ bar magnet having pole strength $q_m$ and magnetic moment $m$ is divided into two equal parts along its length. The new pole strength is . . . . . . and the magnetic moment is . . . . . . respectively.

The torque on a bar magnet due to the earth's magnetic field is maximum when the axis of the magnet is

The magnetic field lines due to a bar magnet are correctly shown in

Magnetic lines of force due to a bar magnet do not intersect because

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.

Give some of the commonly known ideas regarding magnetism.