Question

Bohr model of an atom In the Bohr model of an atom (see figure below) the electrons move on fixed circular orbits around the nucleus. On the th orbit the magnitude of the angular momentum of the electron is given by where ћ 6.626 x 10-34 m 2 kg/s is the reduced Planck constant. +Ze (a) Calculate the radius r of an electron orbit in the hydrogen atom. Express your answer in terms of n, ћ, co, the electron charge e and the electron mass me. (Hint: Start by determining the speed of the electron from Coulomb's law.) (b) Determine the energy of an electron on the nth orbit in terms of пућ, c0, e and me. (c) If an electron falls back from an orbit n +1 to a lower orbit n it emits it's excess energy AE Et1 En in form f light (photon) with frequency f What is the frequency of the emitted light if an electron in the hydrogen atom falls back from the orbit n-2 into the ground state n-1? Is this light visible (the human eye can see frequencies between 430-770 THz)?

Answer 1