Ratio of magnetic intensities for an axial point and a point on broad side-on position at equal distance $d$ from the centre of magnet will be or The magnetic field at a distance $d$ from a short bar magnet in longitudinal and transverse positions are in the ratio

A bar magnet is $10\;cm$ long, and is kept with its north (N)- pole pointing north. A neutral point is formed at a distance of $15\;cm$ from each pole. Given the horizontal component of earth’s field to be 0.4 Gauss, the pole strength of the magnet is

Breaking a bar magnet in half results in:

The length of a magnet of moment $5\,A{m^2}$ is $14\,cm$. The magnetic induction of a point, equidistance from both the poles is {\rm{3}}.{\rm{2}}{\mkern 1mu}  imes {\mkern 1mu} {\rm{1}}{{\rm{0}}^{ - 5}}\,\,{\rm{wb/}}{{\rm{m}}^2}. The distance of the point from either pole is.

The needle of a deflection galvanometer shows a deflection of $60^\circ$ due to a short bar magnet at a certain distance in tan $A$ position. If the distance is double the deflection is

Two identical short bar magnets are placed at a distance $d$ apart with their axes perpendicular to each other. The magnetic field at the midpoint of the line joining their centers is:

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:

The magnetic field strength at a distance $r$ from a short bar magnet on its axial line is $B$. If the distance is doubled, the magnetic field strength becomes:

The deflection magnetometer is most sensitive when deflection ${\rm{heta }}$ is

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

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