Question
In: Physics
1- An electron moving in a metal nanowire is a reasonable approximation of a particle in...
1- An electron moving in a metal nanowire is a reasonable approximation of a particle in a one-dimensional infinite well. Suppose the electron is in a wire 10nm long. (a) Compute the ground-state energy for the electron. (b) The electron moves freely inside in metal nanowire. Find the electron’s velocity in ground state. c) If the electron’s energy is equal to 10 eV, what is the electron’s quantum number n?
2- Briefly explain the differences between quantum and classical thermodynamical approximation of electron energy.
3- Think about the electron where it is in first energy state in metal with length of L. (a) What would be the probability of finding it somewhere in the region 0< x< 3L/2? Find energy level corresponding energy state of the electron.
4- Find the second state electron energy (E2) by substituting the radial wave function R that corresponds to n=2 l=0 and mı=0
Solutions
genius_generous answered 1 year agoRelated Solutions
a- Consider an electron that moves freely in metal and a particle moves freely in vacuum....
a- Consider an electron that moves freely in metal and a
particle moves freely in vacuum. Briefly explain differences
between the energy of these particles. b- Briefly explain the
temperature dependent conductivity of metal, semiconductor and
insulator. (Please write your answer by asking your self “How and
Why change” questions )
A fast-moving electron beam strikes a metal target and produces a sharp peak in emission at...
A fast-moving electron beam strikes a metal target and produces
a sharp peak in emission at one frequency as well as the
bremsstrahlung continuum emission.
a) What causes this peak in X-ray spectrum? Explain what happens
to the electrons in the metal atom.
b) Can a hydrogen atom emit x-rays? Explain why or why not (be
quantitative about photon energy).
1. A particle is moving with the given data. Find the position of the particle. a(t)=2t+7,...
1. A particle is moving with the given data. Find the position
of the particle.
a(t)=2t+7, s(0)=8, v(0)=-3
2.Find f
f'(x)=1 sqrt(1-x2) , f(1/2)=8
A particle is moving with the given data. Find the position of the particle. a(t) =...
A particle is moving with the given data. Find the position of
the particle. a(t) = 11 sin(t) + 3 cos(t), s(0) = 0, s(2π) = 18
I.4. Hartree–Fock approximation. The Hartree–Fock approximation is a simple yet important model for understanding electron–electron interaction...
I.4. Hartree–Fock approximation. The Hartree–Fock approximation
is a simple yet
important model for understanding electron–electron interaction in
crystals.
(a) Derive the Hartree–Fock self-consistent field equations from
the variational principle
using a Slater determinant of single-particle orbitals as a trial
many-electron
wavefunction.
(b) Consider the total electronic energy of a system (e.g. a
molecule) in the Hartree–
Fock approximation. Calculate the change in the energy of the
system if an
electron is promoted from an occupied ith orbital to an unoccupied...
A particle is moving with the given data. Find the position of the particle. v(t) =...
A particle is moving with the given data. Find the position of
the particle. v(t) = sin(t) − cos(t), s(0) = 4
1. A moving particle with a charge of 6.52 is accelerated through a potential difference of...
1. A moving particle with a charge of 6.52 is accelerated
through a potential difference of 234mV. Find the final velocity of
the particle if its initial velocity is 5.24m/s. (mass of the
charged particle=154g).
2. An unpolarized beam passes through a system containing three
ideal polarizers. the first polarizer is oriented with a horizontal
transmission axis, the second one has its transmission axis at
70.4degrees from the horizontal, and the third filter has a
vertical transmission axis. What percent...
Consider a particle with a charge-to-mass ratio of ?/? = 1 moving in a uniform magnetic...
Consider a particle with a charge-to-mass ratio of ?/? = 1
moving in a uniform magnetic field of B = 1 Tesla applied in
z-direction. At time t = 0 s, it is located at r = (0, 10, 0) m and
its velocity is v = (10, 0, 0) m/s.
(a) Qualitative motion
Draw a diagram of the situation when the proton starts its
motion, showing its instantaneous velocity v0, the magnetic field
vector B and the direction of...
Consider a particle with a charge-to-mass ratio of ?/? = 1 moving in a uniform magnetic...
Consider a particle with a charge-to-mass ratio of ?/? = 1
moving in a uniform magnetic field of B = 1 Tesla applied in
z-direction. At time t = 0 s, it is located at r = (0, 10, 0) m and
its velocity is v = (10, 0, 0) m/s.
(a) Qualitative motion
Draw a diagram of the situation when the proton starts its
motion, showing its instantaneous velocity v0, the magnetic field
vector B and the direction of...
Particle Position and Time The position of a particle moving along the x axis depends on...
Particle Position and Time The position of a
particle moving along the x axis depends on the time
according to the equation x = ct2 -
bt3, where x is in meters and
t in seconds.
(a) What dimension and units must c have?
s2/ms/m2 m/s2m2/s
What dimension and units must b have?
m3/ss/m3 s3/mm/s3
For the following, let the numerical values of c and
b be 3.3 and 1.0 respectively.
(b) At what time does the particle reach its maximum positive...
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