Quantum Theory, particle in a ring

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yesmale4
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Homework Statement
Consider the following statements for a particle in a ring. Determine whether each statement is true or false.

1.The energy levels are equally spaced.

2. The ground-state energy of the system is zero.

3.The angular momentum Lz of a particle is quantized with only possible values of mℏ, (m=0,±1,±2,…).

4. Energy transition that absorbs the photon of the longest wavelength is from m=0 to the m=1 level.

5. Ψ(φ)=cos(φ) is an eigenfunction of the kinetic energy operator T.

6. All energy levels of the system are degenerate.
Relevant Equations
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hello i would to get some help with my homework.
1. true
2. i dont know
3. true
4. i dont know
5, false
6. i dont know
about 2,4,6 i really have know idea what to think I really appreciate help
 
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