Answer:
(a). The rotational inertia is 
(b). The magnitude of the magnetic torque is 
Explanation:
Given that,
Mass of neutron 
Density of neutron 
(a). We need to calculate the rotational inertia
Using formula of rotational inertia for sphere
...(I)
We know that,

Put the value of volume


Put the value of R in equation (I)

Put the value into the formula


The rotational inertia is
.
(b). We need to calculate the magnitude of the magnetic torque
Using formula of torque

Put the value into the formula


The magnitude of the magnetic torque is 
Hence, (a). The rotational inertia is 
(b). The magnitude of the magnetic torque is 
Since unbalanced forces acts on the spheres, the aim of increasing the release distance of the spheres is to observe the effect of unbalanced forces acting on the spheres.
<h3>What is an experiment?</h3>
An experiment is a study whose objective is to study cause and effect relationships. In this case, the students had to increase the distance at which the spheres was released.
The aim of increasing the release distance of the spheres is to observe the effect of unbalanced forces acting on the spheres.
Learn more about experiments: brainly.com/question/11256472