Re: When a bar magnet is broken into two pieces what happens ?

The polarity of a magnet is an average effect of the polarity of
its different parts.

The polarity of different parts of a magnet is determined by the
magnetization procedure.

For example, if a bar magnet is magnetized in a uniform magnetic
field, then its different parts have the same polarity. Therefore
if you broke it into pieces, each piece will have the same polarity
as the original one, that means, if you draw a line between its
north and south pole, it will be parallel to the line between
the north and south pole of the original magnet.

I think usually a bar magnet is magnetized in a uniform magnetic
field.