Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The Lyman series is every jump that ends on .
Hydrogen's levels: , and for an ion with one electron. A jump gives a photon of energy , with . Lyman ends on , Balmer on , Paschen on .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) The gap grows with , by smaller and smaller steps, towards the jump from very far out (). That is the series limit.
Step 2. (b) , and .
Answer: the jump from the series limit; and .
Check. This is also the energy that ionises hydrogen from its ground state.
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