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