Question

Suppose that an electron trapped in a one-dimensional infinite
well of width 0.341 nm is excited from its first excited state to
the state with *n* = 5.

1 What energy must be transferred to the electron for this quantum jump?

2 The electron then de-excites back to its ground state by emitting light. In the various possible ways it can do this, what is the shortest wavelengths that can be emitted?

3 What is the second shortest?

4 What is the longest?

5 What is the second longest?

Answer #1

An electron is trapped in an infinite one-dimensional well of
width = L. The ground state energy for this electron is 3.8
eV.
a) Calculated energy of the 1st excited state.
b) What is the wavelength of the photon emitted between 1st
excited state and ground states?
c) If the width of the well is doubled to 2L and mass is halved
to m/2, what is the new 3nd state energy?
d) What is the photon energy emitted from the...

An electron is trapped in a one-dimensional infinite well. The
largest wavelength emitted by the electron is 650 nm. a) Determine
the width of the well.
how do you find the 3rd largest wavelength

4.
An electron is trapped in a one-dimensional infinite potential well
of width L.
(1) Find wavefunction ψn(x) under assumption that the
wavefunction in 1 dimensional box whose potential energy U is 0 (0≤
z ≤L) is normalized
(2) Find eighenvalue En of electron
(3) If the yellow light (580 nm) can excite the elctron from
n=1 to n=2 state, what is the width (L) of petential well?

An electron is in an infinite one-dimensional square well of
width L = 0.12 nm.
1) First, assume that the electron is in the lowest energy
eigenstate of the well (the ground state). What is the energy of
the electron in eV? E =
2) What is the wavelength that is associated with this
eigenstate in nm? λ =
3) What is the probability that the electron is located within
the region between x = 0.048 nm and x =...

We have an electron trapped in a one dimensional box, and is
excited to the 2nd (n = 2) state. What will be the length of the
box if our electron has the same energy as a violet photon (404
nm)?

When an electron trapped in a one-dimensional box transitions
from its
n = 2
state to its
n = 1
state, a photon with a wavelength of 636.4 nm is emitted. What
is the length of the box (in nm)?
What If? If electrons in the box also occupied
the
n = 3
state, what other wavelengths of light (in nm) could possibly be
emitted? Enter the shorter wavelength first.
shorter wavelength nmlonger
wavelength nm

The electron in a hydrogen atom falls from an excited energy
level to the ground state in two steps, causing the emission of
photons with wavelengths of 656.5 nm and 121.6 nm (So the in the
first step the 656.5 nm photon is emitted and in the second step
the 121.6 nm photon is emitted). What is the principal quantum
number (ni) of the initial excited energy level from which the
electron falls?

A proton, a neutron, and an electron are trapped in identical
one-dimensional infinite potential wells; each particle in its
ground state.
a.) At the center of the wells, is the probability density for
the proton greater than, less than, or equal to that of the
electron? Explain.
b.) At the center of the wells, is the probability density for
the neutron greater than, less than, or equal to that of the
electron? Explain.

An electron is in the 4th excited state within a bound infinite
square well with a finite length. It transitions to the lower state
n = 3, emitting a photon of wavelength 368.0 nm.
a) Determine the width of the well.
b) Sketch the probability distribution of finding the electron
in the n = 4 state, indicating where the most likely positions the
particle will be found. What is the likelihood of finding the
particle within the first half of...

I have solved some of the questions and the answers are the
following
1. 1.62 * 10^-4 eV
2. 0.00765432 m
4. 5.909 * 10^-3 m
5. 3.33 * 10^-10 m
So the only questions missing are question #3 and question #6.
If when solving questions 1, 2, 4 and 5, you do not get the same
values as posted here, please do not even bother to submit question
3 and question 6 because you most likely have it wrong...

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