Question
consider a square well if infinite sides of width L: a) Calculate the energy and wavelength...
consider a square well if infinite sides of width L:
a)
Calculate the energy and wavelength of a photon emitted when a
transition
between the n=5 and ground state is made.
b)
Write down the expression for the probability that a particle in the nth
state will be found in the first 1/3 of a well of width
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
Consider a particle trapped in an infinite square well potential of length L. The energy states...
Consider a particle trapped in an infinite square well potential
of length L. The energy states of such a particle are given by the
formula: En=n^2ℏ^2π^2 /(2mL^2 ) where m is the mass of the
particle.
(a)By considering the change in energy of the particle as the
length of the well changes calculate the force required to contain
the particle. [Hint: dE=Fdx]
(b)Consider the case of a hydrogen atom. This can be modeled as
an electron trapped in an infinite...
An electron is trapped in an infinite one-dimensional well of width = L. The ground state...
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 in the 4th excited state within a bound infinite square well with a...
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...
An electron is in the ground state of an infinite square well. The energy of the...
An electron is in the ground state of an infinite square well.
The energy of the ground state is E1 = 1.13 eV.
(a) What wavelength of electromagnetic radiation would be needed
to excite the electron to the n = 7 state? nm
(b) What is the width of the square well? nm
Consider a particle mass M in an infinite square well of width (W) with the initial...
Consider a particle mass M in an infinite square well of width
(W) with the initial state: |?〉=?(|?)〉+7?|?-〉)
What are the possible results of an energy measurement and the
probability of each?
An electron is in an infinite one-dimensional square well of width L = 0.12 nm. 1)...
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 =...
An electron is in the ground state of an infinite square well. The energy of the...
An electron is in the ground state of an infinite square well.
The energy of the ground state is E1 = 1.39 eV.
Use hc=1240 nm eV.
(a) What wavelength of electromagnetic radiation would be needed
to excite the electron to the n = 3 state?
nm
(b) What is the width of the square well?
nm
An electron is trapped in an infinite square well potential of width 3L, which is suddenly...
An electron is trapped in an infinite square well potential of
width 3L, which is suddenly compressed to a width of L, without
changing the electron’s energy. After the expansion, the electron
is found in the n=1 state of the narrow well. What was the value of
n for the initial state of the electron in the wider well?
Consider a three dimensional rectangular infinite potential well with sides of length L, 2L and 3L....
Consider a three dimensional rectangular infinite potential well
with sides of length L, 2L and 3L.
What is the energy of the first excited state relative to the
energy of the ground state?
What is the energy of the second excited state relative to the
energy of the ground state?
What is the energy of the third excited state relative to the
energy of the ground state?
What is the energy of the fourth excited state relative to the
energy...
An electron is trapped in a square well of unknown width, L. It starts in unknown...
An electron is trapped in a square well of unknown width,
L. It starts in unknown energy level, n. When it
falls to level n-1 it emits a photon of wavelength
λphoton = 2280 nm. When it falls from n-1 to
n-2, it emits a photon of wavelength λphoton =
3192 nm.
1) What is the energy of the n to n-1 photon
in eV?
En to n-1 =
2) What is the energy of the n-1 to n-2 photon...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 1 minute ago
asked 7 minutes ago
asked 24 minutes ago
asked 46 minutes ago
asked 49 minutes ago
asked 59 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago