4. scheme of a hypothetical one-electron element Mathematicum. The Below is a energy level 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 ground state (n = 1) ? (b) What will be the final electron state if a photon of energy of 5 eV strikes a Mathematicum atom initially in the first excited state (n=2)? In other words, find the value n₁ of the final state if the atom absorbs a 5-eV photon. (c) What will happen if a photon of energy of 8 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 18 eV strikes a Mathematicum atom initially in the ground stte (n=1) In other words, find the value n of the final state if the excited atom absorbs an 18-eV photon. (e) Will photons emitted in the Mathemticum transitions n = 4 ton 2 eject photoelectrons from a certain metal? The work function of the metal is 5.00 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 -2 eV 5eV 11-2 -10 eV n = 1 -20 eV
4. scheme of a hypothetical one-electron element Mathematicum. The Below is a energy level 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 ground state (n = 1) ? (b) What will be the final electron state if a photon of energy of 5 eV strikes a Mathematicum atom initially in the first excited state (n=2)? In other words, find the value n₁ of the final state if the atom absorbs a 5-eV photon. (c) What will happen if a photon of energy of 8 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 18 eV strikes a Mathematicum atom initially in the ground stte (n=1) In other words, find the value n of the final state if the excited atom absorbs an 18-eV photon. (e) Will photons emitted in the Mathemticum transitions n = 4 ton 2 eject photoelectrons from a certain metal? The work function of the metal is 5.00 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 -2 eV 5eV 11-2 -10 eV n = 1 -20 eV
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Transcribed Image Text:4.
scheme of a hypothetical one-electron element Mathematicum. The
Below is a energy level
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 ground state (n = 1) ?
(b)
What will be the final electron state if a photon of
energy of 5 eV strikes a Mathematicum atom initially in the
first excited state (n=2)? In other words, find the value n₁ of the
final state if the atom absorbs a 5-eV photon.
(c)
What will happen if a photon of energy of 8 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 18 eV strikes a Mathematicum atom initially in the
ground stte (n=1) In other words, find the value n of the
final state if the excited atom absorbs an 18-eV photon.
(e)
Will photons emitted in the Mathemticum transitions
n = 4 ton 2 eject photoelectrons from a certain metal? The work
function of the metal is 5.00 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
-2 eV
5eV
11-2
-10 eV
n = 1
-20 eV
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