Question

The energy of the nth excited state of a hydrogen atom is proportional to 100 - (100/n2).

1) Using this formula, calculate the energy of the first five energy states.

2) How many spectral lines are possible for the transition of a photon in the n= 5 state to ground?

Answer 1

In the first, put in n=1, calculate, and repeat.

In the second... consider
from n=5 to 1, n=5 to 3, n=3 to 1, and so on.