Question

LP 3. (10 pts) A new, one electron element is discovered from the analysis of moose nuggets, and it is called Moosonium. The potential energy between the electron and the nucleus is unknown, but the energy-level scheme for the element is measured and is shown in the figure at right. The potential energy is taken to be zero for an electron at an infinite distance from the nucleus. a) How much energy (in eV) does it take to ionize an electron from the ground level? b) A 28 eV photon is absorbed by a Moosonium atom in its ground state. As the atom returns to its ground level, what possible energies can the emitted photon have? c) What will happen if a photon with an energy of 14 eV strikes a Moosonium atom in it ground state? d) Photons emitted in the Moosonium transition $n=3 \rightarrow n = 2$, and also in the transition $n = 3 \rightarrow n = 1$, will eject photoelectrons from an unknown metal, but the photon emitted from the transition $n = 4 \rightarrow n$ $= 3$ will not. What is the range of possible values for the work function of the metal?

          LP 3. (10 pts) A new, one electron element is
discovered from the analysis of moose nuggets, and it
is called Moosonium. The potential energy between
the electron and the nucleus is unknown, but the
energy-level scheme for the element is measured and
is shown in the figure at right. The potential energy is
taken to be zero for an electron at an infinite distance
from the nucleus.
a) How much energy (in eV) does it take to ionize an
electron from the ground level?
b) A 28 eV photon is absorbed by a Moosonium atom
in its ground state. As the atom returns to its ground
level, what possible energies can the emitted photon
have?
c) What will happen if a photon with an energy of 14
eV strikes a Moosonium atom in it ground state?
d) Photons emitted in the Moosonium transition $n=3 \rightarrow n = 2$, and also in the transition $n = 3 \rightarrow n = 1$,
will eject photoelectrons from an unknown metal, but the photon emitted from the transition $n = 4 \rightarrow n$
$= 3$ will not. What is the range of possible values for the work function of the metal?

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LP 3. (10 pts) A new, one electron element is
discovered from the analysis of moose nuggets, and it
is called Moosonium. The potential energy between
the electron and the nucleus is unknown, but the
energy-level scheme for the element is measured and
is shown in the figure at right. The potential energy is
taken to be zero for an electron at an infinite distance
from the nucleus.
a) How much energy (in eV) does it take to ionize an
electron from the ground level?
b) A 28 eV photon is absorbed by a Moosonium atom
in its ground state. As the atom returns to its ground
level, what possible energies can the emitted photon
have?
c) What will happen if a photon with an energy of 14
eV strikes a Moosonium atom in it ground state?
d) Photons emitted in the Moosonium transition n=3 → n = 2, and also in the transition n = 3 → n = 1,
will eject photoelectrons from an unknown metal, but the photon emitted from the transition n = 4 → n
= 3 will not. What is the range of possible values for the work function of the metal?

Added by Brandon R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ren Jie Tuieng

08/31/2020

Step 1

From the figure, we can see that the energy at n=1 is -13 eV. Therefore, the energy required to ionize an electron from the ground level is 13 eV. Show more…

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LP 3.10 pts A new one-electron element is discovered from the analysis of moose nuggets, and it is called Moosonium. The potential energy between the electron and the nucleus is unknown, but the n=3 energy-level scheme for the element is measured and is shown in the figure at right. The potential energy is taken to be zero for an electron at an infinite distance from the nucleus. a) How much energy in eV does it take to ionize an electron from the ground level? b) A 28 eV photon is absorbed by a Moosonium atom in its ground state. As the atom returns to its ground level, what possible energies can the emitted photon have? c) What will happen if a photon with an energy of 14 eV strikes a Moosonium atom in its ground state? Photons emitted in the Moosonium transition n=3-n=2, and also in the transition n=3-n=1 will eject photoelectrons from an unknown metal, but the photon emitted from the transition n=4-n=3 will not. What is the range of possible values for the work function of the metal?

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Transcript

00:01 Now in this question we have a hypothetical atom called seasium.

00:06 And this is the energy level scheme.

00:09 So given this energy level, you want to find how much energy is required to ionize the electron from the ground level.

00:17 That is, if the atom is in the ground states over here and it goes to 1, well, the energy would just be taking the energy at infinity, minus away the energy at the ground state.

00:31 And as we know because the values given here are negative, instead it is with respect or with reference to the ionization energy.

00:42 So the ionization energy must be 0 ev.

00:46 Therefore the amount of energy required is 0 minus negative 20, which is 20 ev.

00:57 Now for the next part, we are told that it actually starts it absorbs an 18 ev photon.

01:09 So from the ground state, absorbed 18 ev goes up all the way to the n equals to 4 state, right? because negative 20ev plus 18 gives us negative 2ev.

01:26 So it must be in the n equals to 4.

01:29 And we want to find, we ask ourselves what is the possible energies that the emitted photons can have, right, as it returns to the ground state.

01:38 So there are quite a few possible transitions.

01:41 I'm going to go through over here.

01:43 First is a single emission all the way down directly.

01:47 This would be 18 ev.

01:51 We have another possible transition that goes half way down...

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