A short bar magnet of magnetic moment $M$ is placed in a non-uniform magnetic field $B$. If the gradient of the field is $\frac{dB}{dx}$ along the axis of the magnet, the force on the magnet is:

A bar magnet is cut into two equal halves along its length. The magnetic dipole moment of each half is:

The magnetic field due to a small magnetic dipole of magnetic moment $M$, at distance $r$ from the centre on the equatorial line is given by (in M.K.S system)

A small bar magnet has a magnetic moment $1.2\;A$-${m^2}.$ The magnetic field at a distance $0.1\;m$ on it axis will be: $({\mu _0} = 4\pi imes {10^{ - 7}}$-$m/A)$

A magnet is parallel to a uniform magnetic field. If it is rotated by $60^\circ$, the work done is 0.8joules. How much additional work is done in moving it $30^\circ$ further

The magnetic field at a point $x$ on the axis of a small bar magnet is equal to the field at a point y on the equator of the same magnet. The ratio of the distances of $x$ and $y$ from the centre of the magnet is

At a certain distance from a short bar magnet, the magnetic field strength is $B$. If the magnet is replaced by another magnet of the same length but double the magnetic moment, the new field strength at the same point will be:

The magnetic induction field strength at a distance $0.2\,m$  on the axial line of a short bar magnet of moment $3.6\,A{m^2}$ is

The magnetic field due to a small magnetic dipole of magnetic moment $M$, at distance $r$ from the centre on the equatorial line is given by (in M.K.S system)

A short bar magnet of magnetic moment 255 ${\rm{J}}{{\rm{T}}^{ - 1}}$ is placed with its axis perpendicular to earth’s field direction. At what distance from the center of the magnet, the resultant field is inclined at $45^\circ$ with earth’s field, $H = 0.4 imes {10^{ - 4}}{\rm{\;T\;}}?$

The points $A\;{\rm{and}}\;B$ are situated perpendicular to the axis of 2 cm long bar magnet at large distances $x$ and 3$x$ from the centre on opposite sides. The ratio of magnetic fields at $A\;{\rm{and}}\;B$ will be approximately equal to