The magnetic moment of the arrangement shown in the figure is ............. $M$

Give the location of magnetic :

$(i)$ north pole

$(ii)$ south pole

Figure shows a small magnetised needle $P$ placed at a point $O$. The arrow shows the direction of its magnetic moment. The other arrows show different positions (and orientations of the magnetic moment) of another identical magnetised needle $Q$.

$(a)$ In which configuration the system is not in equilibrium?

$(b)$ In which configuration is the system in $(i)$ stable, and $(ii)$ unstable equilibrium?

$(c)$ Which configuration corresponds to the lowest potential energy among all the configurations shown?

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

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

What is incorrect for current carrying solenoid