a) An electron with 10.0 eV kinetic energy hits a 10.1 eV
potential energy barrier. Calculate the penetration depth.
b) A 10.0 eV proton encountering a 10.1 eV potential energy
barrier has a much smaller penetration depth than the value
calculated in (a). Why?
c) Give the classical penetration depth for a 10.0 eV particle
hitting a 10.1 eV barrier.
a.A free (i.e. unbound) electron has a kinetic energy of 7.5 eV.
What is the angular wavenumber of the travelling wave that
describes the solution to Schr ̈odinger’s equation for this
particle?
b.A particle of mass 6.64 × 10-27 kg is confined in
an infinite square well of width 2.50 × 10-11 m. It is
observed to have an energy of 3.00 eV. How many nodes does its
wavefunction have? (Not including those at the walls of the
well.)
c.What...
Electrons in an electron microscope have a kinetic energy of
1.20 105 eV. (a) Find the de Broglie wavelength of the electrons.
Incorrect: Your answer is incorrect. (b) Find the ratio of this
wavelength to the wavelength of light at the middle of the visible
spectrum (550 nm). (c) How many times greater magnification is
theoretically possible with this microscope than with a light
microscope?
An electron of kinetic energy 0.972 keV circles in a plane
perpendicular to a uniform magnetic field. The orbit radius is 26.9
cm. Find (a) the electron's speed,
(b) the magnetic field magnitude,
(c) the circling frequency, and
(d) the period of the motion.
A positron with kinetic energy 2.40 keV is projected into a
uniform magnetic field of magnitude 0.110 T, with its velocity
vector making an angle of 80.0° with the field. Find (a) the
period, (b) the pitch p, and (c) the radius r of its helical
path
answer with units please
A positron with kinetic energy 2.00 keV is projected into a
uniform magnetic field of magnitude 0.140 T, with its velocity
vector making an angle of 83.0° with the field. Find
(a) the period, (b) the pitch
p, and (c) the radius r of its
helical path.
A positron with kinetic energy 3.00 keV is projected into a
uniform magnetic field of magnitude 0.140 T, with its velocity
vector making an angle of 88.0° with the field. Find (a) the
period, (b) the pitch p, and (c) the radius r of its helical
path.
ASAP
A proton with initial kinetic energy 50.0 eV encounters a
barrier of height 70.0 eV. What is the width of the barrier if the
probability of tunneling is How does this compare with the barrier
width for an electron with the same energy tunneling through a
barrier of the same height with the same probability ?
What is the wavelength of an electron with a kinetic energy of
8 keV?
What are the wavelength and frequency of the 8 keV x-rays
frequently used for protein crystallography experiments? Compare to
question 17 (What is the wavelength of an electron with a kinetic
energy of 8 keV?).
Consider electrons are accelerated with 5 kV voltage in a
cathode ray tube. What is the short wavelength limit (SWL) of the
continuous radiation that will be obtained?
Thanks