$P$ and $Q$ are two unlike magnetic poles. Induction due to '$P$ at the location of '$Q$' is B. and induction due to '$Q$' at the location of $P$is $B/2$. The ratio of poles strengths of ${\rm{P}}\,{\rm{and}}\,{\rm{Q}}$ is

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

Due to a small magnet, intensity at a distance $x$ in the end on position is $9\;gauss$. What will be the intensity at a distance $\frac{x}{2}$ on broad side on position

A short magnet of moment $6.75\;A{m^2}$ produces a neutral point on its axis. If horizontal component of earth’s magnetic field is $5 imes {10^{ - 5}}Wb/{m^2}$, then the distance of the neutral point should be

The distance of two points on the axis of a magnet from its centre is $10\;cm$ and $20\;cm$ respectively. The ratio of magnetic intensity at these points is $12.5\;:1$. The length of the magnet will be

Two short magnets having magnetic moments in the ratio $27\;:8$, when placed on opposite sides of a deflection magnetometer, produce no deflection. If the distance of the weaker magnet is 0.12 m from the centre of deflection magnetometer, the distance of the stronger magnet from the centre is

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: $({\mu _0} = 4\pi imes {10^{ - 7}}$-$m/A)$

Two identical short bar magnets, each of magnetic moment $M$, are placed perpendicular to each other at a distance $d$ apart. The magnetic field at a point midway between them on the line joining their centers is:

Force between two identical short bar magnets whose centers are $r$ metre apart is 8.1 N, when their axes are along the same line. If separation is increased to 3 $r$ and the axis are rearranged perpendicularly, the force between them would become

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