Solve the each part of given problem:
Problem: Consider a Hydrogen atom with the electron in the n = 6 shell. The magnitude of the ground state energy of the Hydrogen atom is 13.6 eV.
Part I: What is the energy of this system?
Part II: How many sub shells are in this shell?
Part III: How many electron orbits are in this main shell?
Part IV: How many electrons would fit in this main shell?
It'd be really helpful if you could show all steps of your work. Thanks.