For the hydrogen atom, the energy of the nth state is:
Energy and wavelength are related by:
Emission occurs when an electron moves from ni to nf such that nf is less than ni.
For n = 5, the transitions are: 5→1, 5→2, 5→3, 5→4 (4 wavelengths)
Electrons falling in n = 4, n = 3, and n = 2 will also give the following transitions as they fall to ground state (n = 1).
A monochromatic laser is exciting hydrogen atoms from the n = 2 state to the n = 5 state. Eventually, all of the excited hydrogen atoms will emit photons until they fall back to the ground state.
(a) How many different wavelengths can be observed in this process?
(b) What is the shortest wavelength λmin observed?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Atomic Structure concept. You can view video lessons to learn Atomic Structure. Or if you need more Atomic Structure practice, you can also practice Atomic Structure practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Chen's class at UH.