The two main mechanisms by which X-rays interact with matter
are via Compton scattering and absorption by the photoelectric
effect. By referring to the dependence of these effects on X-ray
energy, explain what happens to X-ray image quality when using
excessively high tube voltages?
X-rays of wavelength λ = 0.140 nm are scattered from carbon.
A. What is the Compton wavelength shift for photons detected at
angle (relative to the incident beam) of exactly 45.0 degrees?
Express your answer to three significant figures and include the
appropriate units.
λ'- λ = ?
B. What is the Compton wavelength shift for photons detected at
angle (relative to the incident beam) of exactly 120 degrees?
Express your answer to three significant figures and include the
appropriate...
In a Compton scattering experiment, an incident photon of energy
295.00 kev scatters off a loosely bound electron resulting in the
scattered photon to have an energy of 159.00 kev.
a. Determine the scattering angle for the scattered photon,
relative to the original direction of travel, and
b. Determine the energy of the scattered electron.
c. If the photon is back scattered (θ = 180°), determine the
momentum of the scattered electron, in units of (kg m/s).
An photon with a wavelength in the X-ray region of 0.69 nm
undergoes Compton scattering by colliding with a free electron. 1)
Assume the photon just barely grases the electron, so that the
deflect angle, θ, can be considered zero.
1)What is the wavelength of the outgoing photon after the
collision? λ' =
2)What the energy of the outgoing photon? Eγ
=
3)Now assume the photon deflects off at a small angle of
49o. What is the wavelength of the...
Measurements of the photon energy (E) from a Compton scattering
experiment show two peaks: one at higher energies for the source
gamma rays (GR), and another at lower energies for the scattered
photons (SP). Each peak is expected to obey a Gaussian
distribution; e.g. for the scattered photons: SP = ASP
exp(-((E-ESP)/WSP)2), where
ASP is the amplitude, ESP the peak energy,
and WSP the peak width; with a similar equation and set
of parameters for the GR. The table (below)...
A γ-ray which has energy of 400 keV collides with an atom and
undergoes Compton scattering.
(a) What is the energy of the wave in Joules and hence what is
its frequency?
(b) If the change in the angle of the γ-ray is 20°, what is the
frequency of the wave as it exits the atom?
In Aluminium, the attenuation of a γ-ray is described by the
attenuation coefficient μ=0.25 cm-1. What are the values for the
following:
(c) The...
A γ-ray which has energy of 400 keV collides with an atom and
undergoes Compton scattering.
(a) What is the energy of the wave in Joules and hence what is
its frequency?
(b) If the change in the angle of the γ-ray is 20°, what is the
frequency of the wave as it exits the atom?
In Aluminium, the attenuation of a γ-ray is described by the
attenuation coefficient μ=0.25 cm-1. What are the values for the
following:
(c) The...
In a Compton scattering experiment, an x-ray photon scatters
through an angle of 22.2° from a free electron that is initially at
rest. The electron recoils with a speed of 2,520 km/s.
(a) Calculate the wavelength of the incident photon.
nm
(b) Calculate the angle through which the electron scatters.
°
In a Compton scattering experiment, an x-ray photon scatters
through an angle of 19.0° from a free electron that is initially at
rest. The electron recoils with a speed of 1,240 km/s.
(a) Calculate the wavelength of the incident photon.
nm
(b) Calculate the angle through which the electron scatters.
°