Question

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!

Answer 1