Question

Derive an expression for the interaction between a photon incident on a nearly-free electron in an aluminum target. Make sure to consider conservation of both relativistic energy and momentum for the photon and electron before and after the interaction. If an incident photon has an energy of 662 keV, calculate the energy of the photon that is scattered through an angle of 35˚.

Answer #1

A photon scatters off a free electron. The wavelength of the
incident photon is 27.6 ✕ 10−4 nm. The electron recoils
with a kinetic energy that is 0.87 times the energy of the
scattered photon. Determine the scattering angle.

A 200 keV photon scatters from a free electron. The scattered
photon has 10% less energy than the original photon. (a) Through
what angle has the photon been scattered? (b) What is the kinetic
energy of the scattered electron?{44o}

When an x-ray photon with λλ 0 = 0.58 nm is
incident on a target, it undergoes Compton Scattering and is
scattered at an angle of 26°. What is the wavelength λλ '
of the scattered photon (in nm)? (keep 7 significant
figures in your answer)
What is the energy (E) if the incident photon (in keV)? Use h =
4.136 x 10-15 eVs and c = 3 x 108 m/s.
(keep 7 significant figures in your answer)
What is...

X-rays of wavelength 1.00 ×
10−10m are incident on a target
containing free electrons, ... a Compton scattered
x-ray photon of wavelength
1.02×10−10m is detected at an
angle of 90◦ to the ...
Obtain as much information as possible
about the momentum of the scattering electron
before and after the scattering process.

In the Compton effect, a 0.133 nm photon strikes a free electron
in a head-on collision and knocks it into the forward direction.
The rebounding photon recoils directly backward.
Use conservation of (relativistic) energy and momentum to
determine the kinetic energy of the electron.
Use the equation p=E/c=hf/c=h/λ.
K =
eV
Determine the wavelength of the recoiling photon.
λ′ =
nm

In the Compton effect, a 0.128 nm photon strikes a free electron
in a head-on collision and knocks it into the forward direction.
The rebounding photon recoils directly backward.
Part A
Use conservation of (relativistic) energy and momentum to
determine the kinetic energy of the electron. Use the equation
p=Ec=hfc=h?. K = eV
Part B
Part complete
Determine the wavelength of the recoiling photon.
?? =
0.133
nm

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