A long magnet is cut in two parts in such a way that the ratio of their lengths is $ 2 : 1. $ The ratio of pole strengths of both the section is

A long magnetic needle of length $2\,L$, magnetic moment $ M$  and pole strength $m$ units is broken into two pieces at the middle. The magnetic moment and pole strength of each piece will be

Magnetic lines of force due to a bar magnet do not intersect because

Define the intensity of magnetic field.

A vibration magnetometer consists of two identical bar magnets placed one over the other such that they are perpendicular and bisect each other. The time period of oscillation in a horizontal magnetic field is ${2^{5/4}}$ $seconds$. One of the magnets is removed and if the other magnet oscillates in the same field, then the time period in seconds is