The correct answer is 3) q and m
Solution
A magnetic moment is a quantity that represents the magnetic strength and orientation of a magnet or any other object that produces a magnetic field. More precisely, a magnetic moment refers to a magnetic dipole moment, the component of the magnetic moment that can be represented by a magnetic dipole.
We can generalize the magnetic moment for ‘N’ turns of the wire loop as
μ = NiA
Here
μ- magnetic moment
N-number of turns in the coil
i-current throughout the coil
A-area of the coil
The angular momentum L of the particle is given by
L=mr2/w
where w=2πn.
Also, we know that
Frequency n=w/2π;
the n
i=q×n=wq/2π
Magnetic Moment, M=iA=wq / 2π×πr2
M= wqr2 / 2
M/L = wqr2 / 2mr2w = q/2m
Thus the ratio depends upon both q and m.
Hence option (3) is the correct answer