Answer:

Explanation:
Given
,
,
,
The tension of the spring is



The force in the spring is equal to centripetal force so


But Fc is also
Fc=KxΔr

Replacing



total distance is

The Toroid is form when you have wound conductor around circular body. In this case you have magnatic field inside the core but you dont have any poles because circular body dont have ends. This can be used where you want minimum flux leakage and dont need magnatic poles. i.e. toroidal inductor, toroidal transformer.
The Solenoid is forn when you wound conductor around body with limb. In this case magnatic field creates two poles N and S. Solenoids have little bit flux leakage. This used where you want magnatic poles and flux leakage is not an issue. i.e. relay, motors, electromagnates.
1 == toroid
2= solenoid
Not that simple but there are ways. Just make sure your hands can handle it