College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The 10-fold X-ray reduction values for (a) water, (b) concreate, (c) iron and (d) lead are equal 100 cm, 20 cm, 10 cm and 5 cm, respectively. Find corresponding values of linear attenuation coefficients.

X-RAY RADIATION
Constants
Units of Energy
h = 6.626 - 10-3“ J•sec Planck constant
e = 1.6- 10-19 C charge of electron
e = 3- 10" m/sec speed of light
m = 9.11. 10- kg mass of electron
1 ev = 1,602-10-" J
1 kev = 1,602-10-"J
1. Relationship between X-ray frequency and
wavelength:
K-cathode
A- anode
here A is wavelength (m), f is frequency (Hz), e
is speed of light (m/sec).
Х-гауs
clectrons
2. Energy of X-rays photon:
E = hfmaz =
Amin is minimum wavelength of X-ray radiation (m), fmar is maximum frequency of X-ray radiation
(Hz), h is Planck constant (I sec), c is speed of light propagation in vacuum (m'sec).
3. In the X-ray tube, firstly, the energy of electric field is transformed into the kinetic energy of
electron motion:
my?
ela =
and then the kinetic energy of electron motion is transferred into energy of X-ray photons:
- = hfmar
fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant I sec), c is speed of
light propagation in vacuum (m/sec), e is charge of electron (C), m mass of electron (kg), U, is
potential difference or voltage between cathode and anode (V), v is speed of clectrons motion
(m/sec).
4. Relationship between wavelenth of X-ray radintion and Voltage on the tube:
1.23
Amin (nm) =
Da(kv)
U, is potential difference or voltage between cathode and anode (V), 2min is minimum wavelength
of X-ray radiation (m).
5. Linear attenuation coefficient (I/m):
H= k-p-2.2',
k = 10-° is coefficient of proportionality (W/VA), p is density of the material (kg/m'), Z is atomic
number of the material, i is wavelength of X-ray radiation (m).
6. Mass attenuation coefficient (m'kg):
H. =-= kza
H is linear attemuation coefficient, k= 10-° is coefficient of proportionality (W/V-A), p is density
of the material (kg/m), Z is atomic number of the material, i is wavelength of X-ray radiation (m).
7. Attenuation of X-ray radiation intensity:
I = lbe "Hd
expand button
Transcribed Image Text:X-RAY RADIATION Constants Units of Energy h = 6.626 - 10-3“ J•sec Planck constant e = 1.6- 10-19 C charge of electron e = 3- 10" m/sec speed of light m = 9.11. 10- kg mass of electron 1 ev = 1,602-10-" J 1 kev = 1,602-10-"J 1. Relationship between X-ray frequency and wavelength: K-cathode A- anode here A is wavelength (m), f is frequency (Hz), e is speed of light (m/sec). Х-гауs clectrons 2. Energy of X-rays photon: E = hfmaz = Amin is minimum wavelength of X-ray radiation (m), fmar is maximum frequency of X-ray radiation (Hz), h is Planck constant (I sec), c is speed of light propagation in vacuum (m'sec). 3. In the X-ray tube, firstly, the energy of electric field is transformed into the kinetic energy of electron motion: my? ela = and then the kinetic energy of electron motion is transferred into energy of X-ray photons: - = hfmar fmax is maximum frequency of X-ray radiation (Hz), h is Planck constant I sec), c is speed of light propagation in vacuum (m/sec), e is charge of electron (C), m mass of electron (kg), U, is potential difference or voltage between cathode and anode (V), v is speed of clectrons motion (m/sec). 4. Relationship between wavelenth of X-ray radintion and Voltage on the tube: 1.23 Amin (nm) = Da(kv) U, is potential difference or voltage between cathode and anode (V), 2min is minimum wavelength of X-ray radiation (m). 5. Linear attenuation coefficient (I/m): H= k-p-2.2', k = 10-° is coefficient of proportionality (W/VA), p is density of the material (kg/m'), Z is atomic number of the material, i is wavelength of X-ray radiation (m). 6. Mass attenuation coefficient (m'kg): H. =-= kza H is linear attemuation coefficient, k= 10-° is coefficient of proportionality (W/V-A), p is density of the material (kg/m), Z is atomic number of the material, i is wavelength of X-ray radiation (m). 7. Attenuation of X-ray radiation intensity: I = lbe "Hd
here I, is the initial intensity of X-rays (W/m); / is the intensity of X-rays after passing a material of
(1/m)
8. Half value layer.
HVL =-
In(2) 0,693
u is lincar attenuation coefficient (1/m).
expand button
Transcribed Image Text:here I, is the initial intensity of X-rays (W/m); / is the intensity of X-rays after passing a material of (1/m) 8. Half value layer. HVL =- In(2) 0,693 u is lincar attenuation coefficient (1/m).
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