Question

I just need the math for these. I can't figure them out.

41. An electron in the hydrogen atom makes a transition from an energy level of –1.51 eV to one of energy –3.40 eV. In this process a photon is emitted with what wavelength?

Ans: 656 nm    

42. An electron in the hydrogen atom (ground-state energy = –13.6 eV) makes a transition from the n = 3 to the n = 1 energy level. Calculate the magnitude of the energy of the photon involved in this process and state whether the photon was absorbed or emitted.

Ans: 12.1 eV, emitted

43. A photon of wavelength 80 nm is absorbed by the electron in the ground-state level of the hydrogen atom. Is this enough energy to ionize the atom? If so calculate the kinetic energy of the free electron.

Ans: Yes, 1.9 eV.

Answer 1