Question

Help with part F

nes n=4 E-0.85eV E--1.33eV 8 The energy level diagram at right shows the first five energy levels for an imaginary atom. A. What is the frequency of a photon that would excite the atom from the n=1 to n=4 state? n=3 E =-2.37eV n-2 Ex=-5.33eV E --21.3eV B. Now suppose that a stream of photons with the frequency you determined in part A collide with a collection of the imaginary atoms mentioned above. After an atom is excited, it quickly decays. Draw transition arrows between the levels on the energy level diagram above that correspond to the photons that would appear in the resulting emission spectrum. C. What is the longest wavelength of light that is observed in this emission spectrum? Express your answer in meters. D. What is the shortest wavelength of light that is observed in this emission spectrum? Express your answer in meters. E. Describe what would happen to the atom if a photon with an energy that is 0.05eV larger than the energy of the photon in part A collides with the atom. F. Describe what would happen to the atom if an electron with an energy that is 0.05eV larger than the energy of the photon in part A collides with the atom.

Answer 1

Answer a) For n=1 to n=u excitation AE = (21.3-1.33) eV hf ; h= plank's constant 1997 x 7.6x1079 ASI DE f = AE h 6.626 X 10-34 40822 X16'5 HZ B) n=4 n=3 n=2 =1 c) longent wavelength cost sponds to n=h to n=3 toransition enesty diffen is lesst AS AE - hc - (2:37 21:33) The 7-66-623 * =(6.623 X 10-34 x 3x108 1.04 x 16 x 16 -14 6-7 11.95410 D) focs shantion wavelength n=4&n=1

AE = hc Af [ As forequence alredy calulated] Af=c 3x108 7 = 2 с f 15 4.822 X10" = 0.622 x167 6.022 x108m The energy energy of photors colliding in porta is 19=97er of 20:2 eV (0.05 eV So, when a photon with energy larger than that in parta) collides with the atom, the atom will not be excited-ice, no electron will be transfered in the higher energy devell, because the difference of of no such energy levels is exactly equal to 20. 2 ev. +) when an elegtoon with energy of 20 2ev will collide with the atom, then nothing coill huppen to the atom Since the energy of the incoming electoron doernot match the difference between of the any The eledson will collide elastically and will bounce back. enesigy energy levelse 0