If a bar magnet of pole strength $m$ and magnetic moment M is cut equally 5 times parallel to its axis and again 3 times perpendicular to its axis, then the pole strength and magnetic moment of each piece are respectively:

Question

\[\begin {array} {1 1} (a)\;\frac{m}{20},\frac{M}{4} & \quad (b)\;\frac{m}{5},\frac{M}{20} \\ (c)\;\frac{m}{6},\frac{M}{24} & \quad (d)\;\frac{m}{5},\frac{M}{24} \end {array}\]