Question

# 1. We can observe the wavelengths emitted from Hydrogen. When Hydrogen electrons transition between states, they...

1. We can observe the wavelengths emitted from Hydrogen. When Hydrogen electrons transition between states, they absorb or emit a particle of light called a photon with energy E=hf. Here f is the frequency of light and h is a constant.

a. How much energy does an electron in the n=1 (lowest-energy) state of Hydrogen have? Repeat for n=2 and n=3.

b. How much energy is emitted if an electron in the n=3 state transitions to the n=2 state?

c. Common diffraction gratings have 500 lines/mm and 1000 lines/mm. For the 1000 1 lines/mm grating, what are the angles of emitted light (relative to the central maximum) when an n=3 to n=2 electron transition occurs in Hydrogen? d. Why don’t we see visible light emitted when hydrogen transitions between the n=2 state and the ground state?

Please show all work including how you planned for the problem, did the problem, and a potential way to check your answer!