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Suppose that an electron is in an excited state of a Hydrogen atom at the n...

Suppose that an electron is in an excited state of a Hydrogen atom at the n = 4 energy level.

(a) How many different states are available for that electron to occupy?

(b) Suppose that the electron falls directly to the ground state, causing a single photon to be released from the atom. What is the photon’s wavelength?  

(c) After its release, the photon collides with an electron at rest, and scatters off at a 60o angle with respect to its original direction.  What is its new wavelength?

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