I electron state if
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Transcribed Image Text:3.
Below is a energy
level scheme of a hypothetical one-electron element Mathematicum. The
potential energy is taken to be zero for an electron at an infinite distance
from the nucleus.
(a)
How much energy does it take to ionize an electron
from the first excited state? Be careful: What is n for the first
excited state?
(b)
What will be the final electron state if a photon of
energy of 10 eV strikes a Mathematicum atom initially in the
ground state? In other words, find the value nf of the
final state if the atom absorbs a 10-eV photon.
(c)
What will happen if a photon of energy of 7 eV
strikes a Mathematicum atom in its ground state level? Explain
what happens.
(d)
What will be the final electron state if a photon of
energy of 5 eV strikes a Mathematicum atom initially in its first
excite state level? In other words, find the value n of the
final state if the excited atom absorbs a 5-eV photon.
(e)
Will photons emitted in the
Mathemticum transitions n = 4 to n = 3 eject photoelectrons from a
Certain metal? The work function of the metal is 2.00 eV. The
work function is the minimum photon energy needed in order for an
electron to escape the metal. Will electrons be ejected from the metal
by the photons? Answer yes or no and explain why. If yes,
what is the kinetic energy of the ejected electrons?
n = 4
n =3
n =2
-2 eV
-Sev
-10 eV
n = 1
-20 eV
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