Question

Consider the case of an electron which is not at rest, but rather which has a kinetic energy, E_e much larger than the photon energy. Find an expression for the photon energy after the interaction. To do this most simply, make a frame transformation to a frame where the electron is at rest, calculate the scattering as above, and then transform back to the original reference frame. For this problem, you may wish to work in terms of the wavelength of the photon, rather than its energy. You will find that this converts to a simple wavelength shift.

Answer #1

Consider the process of Compton scattering. A photon of
wavelength λ is scattered off a free electron initially at
rest. Let λ’ be the wavelength of the photon scattered in
a direction θ relative to the photon incident
direction.
(a) Find λ’ in terms of λ and θ and
universal constants.
(b) Find the kinetic energy of the recoiled electron.

Compton Scattering.A photon of wavelength λcollides elastically
with a free electron (initially at rest) of mass m. If the photon
scatters at an angle φfrom its original direction of travel, use
conservation of relativistic linear momentum and conservation of
relativistic energy to derive a mathematical expression for the
scattered photon’s wavelength λ’.

Choose the option that best explains which Compton scattering
experiment more clearly demonstrates the particle nature of
electromagnetic radiation: a photon colliding with an electron or a
photon colliding with a proton? The photon‑proton collision,
because the diameter of an electron is much smaller than the
diameter of a proton so it is difficult to get Compton scattering
to occur with an electron as the target. Neither experiment is
better at demonstrating the particle nature of electromagnetic
radiation. The Compton...

1. A hydrogen atom, initially in the first excited state
(initial ni = 2), absorbs a photon of wavelength 656.30 nm.
(a) (5) What is the final state ? In other words, solve for the
FINAL nf . Show all work.
(b) (5) What would be the wavelength of a photon, which , when
absorbed by the atom, ionizes an electron from the first excited
level ?
2. X-rays with initial wavelength λ = 0.0665 nm undergo Compton
scattering.
(a)...

Consider the Bohr model of the hydrogen atom for which an
electron in the ground state executes uniform circular motion about
a stationary proton at radius a0. (a) Find an expression
for the kinetic energy of the electron in the ground state. (b)
Find an expression for the potential energy of the electron in the
ground state. (c) Find an expression for the ionization energy of
an electron from the ground state of the hydrogen atom. The
ionization energy is...

A photon, let's call it photon A, has twice the energy of a
photon B ¾The momentum of the photon A is greater than, equal to,
or less than photon B? ¾The wavelength of photon A is greater,
equal to or less than photon B? Fundamentally quantitavimante his
answer.
The smallest distance (resolving power) of an electron
microscope is equal to the Broglie wavelength of the electrons it
emits. If the electrons start from rest, which it must be the...

Q. Electrons are accelerated in a television tube through
a
potential difference of 9.8 kV. Find the highest frequency
and
minimum wavelength of the electromagnetic wave emitted,
when theses electrons strike the screen of the tube. In which
region of the spectrum will these waves lie?
and
Q. High energy photons ( y -rays) are scattered from electrons
initially at
rest. Assume the photons are backscatterred and their energies are
much
larger than the electron’s rest-mass energy, E >>
m0c2...

1. Which has the greater kinetic energy, a heavy truck at rest
or a moving roller skate?
a. none of above
b. heavy truck at rest
c. the roller skate at rest
d. The kinetic energies are equal.
2. If a sports car with a mass of 2000 kg travels down the road
with a speed of 10 m/s, its kinetic energy is _______________ kg
(m/s)2
a. 80000
b. 16000
c. 8000
d. 100000
e.none of above
3. A sports...

1. A hydrogen nucleus which has a charge +e, is situated
to the left of a sulfate ion, which has a charge -2e. Which
statement is true?
A) The electrical force experienced by the hydrogen nucleus is
to the left, and the magnitude is equal to the force exerted on the
sulfate ion.
B) The electrical force experienced by the hydrogen nucleus is
to the left, and the magnitude is greater than the force exerted on
the sulfate ion.
C)...

Question 1 (1 point)
Which is not necessary in order to do work on an object (use the
scientific definition of work)?
Question 1 options:
There must be a change in momentum.
A net force must be applied to the object.
The object must undergo a displacement.
A component of the force must be in the direction of motion.
Question 2 (1 point)
The change in gravitational potential energy for a 1.9 kg box
lifted 2.2 m is:
Question 2...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 8 minutes ago

asked 24 minutes ago

asked 27 minutes ago

asked 56 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

asked 1 hour ago