How much energy is required to get a hydrogen atom to excite to n = 5?

Explanation:

The energy levels of a hydrogen atom are given by the formula

[eV]

where n is the number of the level.

Therefore, the energy of the ground state is

While the energy of the level n = 5 is

So, the energy that a hydrogen atom needs to excite from n = 1 to n = 5 is

And converting into Joules,

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i just did this and got a 100.