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What are the first three energy levels of a copper (Cu, Z=29)) atom if we consid

ID: 2077180 • Letter: W

Question

What are the first three energy levels of a copper (Cu, Z=29)) atom if we consider it hydrogen-like (only one electron but all of the Cu protons)? b. What photon energy is needed to cause an electron to jump from the 1^st copper atom energy state to free space detached from the atom (n = infinity)? c. Can a photon excite an electron to jump from the Is state to the 2s state (yes or no)? d. Write an approximate equation for the energy levels of the outermost electron of a neutral copper atom. e. Do protons and neutrons in the nucleus of the Cu atoms have the same mass as free protons and neutrons? If different which would have the greater mass? If a 50K V electron strikes a Cu target does it have enough energy to "knock" an electron in the lowest energy state out (free)? g. If a free energy election (from part f above) falls back into the lowest energy state (n=1) releasing the energy as a X-ray photon, what would be the energy of the x-ray photon (you probably already calculated the answer in one of the earlier parts of this question).

Explanation / Answer

for Hydrogen like atoms the energy levels are

En = (-ke2/ao) z2/n2   , -ke2/ao = 13.6 ev - Hyderogen ground states energy for n=1

for copper z= 29

E1 = -13.6*292 = -11.438 kev

E2 =E1/4 = -11.438/4 = -2.86 kev

E3 = E1/9 = -1.272 kev

Ground state of Cu-29 ion energy is -11.438 kev

b) we need 11.438 kev of photon to knockout the electron form the atom

c) yes, a photon can excite an electron jump from 1s state to 2s state

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