Consider a three dimensional rectangular infinite potential well with sides of length L, 2L and 3L.
a) What is the energy of the first excited state relative to the energy of the ground state?
b) What is the energy of the second excited state relative to the energy of the ground state?
c) What is the energy of the third excited state relative to the energy of the ground state?
d) What is the energy of the fourth excited state relative to the energy of the ground state?