A bar magnet of magnetic moment m and moment

Question:

A bar magnet of magnetic moment m and moment of inertia I is cut into two equal pieces, perpendicular to length. Let T be the period of oscillations of the

original magnet about an axis through the midpoint, perpendicular to the length, in a magnetic field B. What would be the similar period T’ for each piece?

Solution:

T is the time period

I is the moment of inertia

m is the mass of the magnet

B is the magnetic field

T = 2π√I/MB

Magnetic dipole moment M’ = M/2

Time period is given as T’ = T/2

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