RadiationPhysicsHomework1Solutions HaoLi Sept.2010 2.
< x >= x ( x, t ) dx =
2
2
0
2 2 x 2 x 2 xL 4 x L2 4 x L x sin 2 ( )dx = [ sin( ) cos( )] = 2 L L L 4 8 L 32 L02
2
2
< x >= x ( x, t ) dx =
2 2 2
0
2 2 2 x 2 x2 xL2 4 x 8 2 x 2 L L3 4 x x sin ( )dx =

Duke University Medical Physics Program MP200 - Radiation Physics Fall 2010 Assignment 03 Due 10/04/10
( Show your work for each problem. Partial credits are awarded.)
1. The integral (a) 0 (b) 1 2 Solution
1 0
1 x 0 xe dx
has the value of (c) 1 (d) 3 (e)

MP200 - Radiation Physics Fall 2010 Assignment 02 Due 09/22/10
( Show your work for each problem. Partial credits are awarded.)
1. (Problem # 02 on page 18 of Attix ) The following set of counts readings was made in a gradient-free ray eld, using a suitab

MP200 - Radiation Physics Fall 2010 Assignment 02 Due 09/22/10
( Show your work for each problem. Partial credits are awarded.)
1. (Problem # 02 on page 18 of Attix ) The following set of counts readings was made in a gradient-free ray eld, using a suitab

Instructions
Write your name in the given space. For problems 1 - 2 and 4 - 16, Circle the correct answer. Problem 3, True or False type. Write True or False for each part. For problems 17 - 27, Use the given space.
Useful values:
1 u = 931.5 M eV hc = 12

Duke University Medical Physics Program MP200 - Radiation Physics Fall 2010 Assignment 04 Due 10/13/10
( Show your work for each problem. Partial credits are awarded.)
1. + decay is associated with what type of neutrino: (a) a neutrino (b) an antineutrino

Duke University Medical Physics Program MP200 - Radiation Physics Fall 2010 Assignment 01 Due 09/13/10
( Show your work for each problem. Partial credits are awarded.)
1. Calculate the minimum coecient of friction necessary to keep a thin circular ring fr

Duke University Medical Physics Program MP200 - Radiation Physics Fall 2010 Assignment 03 Due 10/04/10
( Show your work for each problem. Partial credits are awarded.)
1. The integral (a) 0 (b) 1 2
1 x 0 xe dx
has the value of (c) 1 (d) 3 (e) 2 2
2. A 200

Lesson 10a Interaction of Photons with Matter MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Introduction
Photon interaction with matter is either with the nuclei or the orbital electrons of atoms in the medium. There are ve types

Lesson 10b Interaction of Photons with Matter MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Photoelectric Eect
The emission of electrons from a metal surface as a result of light absorption is called the Photoelectric eect. It is

Lesson 11a Interactions of Charged Particles with Matter MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Introduction
Charged particles lose their energy in a manner that is distinctly different from that of uncharged radiations ( p

Lesson 11b Interactions of Charged Particles with Matter MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Dependence on the medium
dT dx Zz 2 2 = 0.3071 2 13.8373 + ln 2 ln I M eV.cm2 .g 1 2 A 1
c
When Z (medium) is increased, the

Lesson 11c Interactions of Electrons with Matter MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Interactions of electrons with Matter
In this lesson, electrons and positrons are grouped together and called beta particles. Since all

Lesson 11d Calculation of absorbed dose MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Calculation of absorbed dose
In this section, we calculate doses in thin foils and thick foils due to heavy ( monoenergetic and monodirectional)

Mass-Energy Equivalence and Relativistic Inelastic Collisions
Jason Harlow and David M. Harrison Department of Physics University of Toronto
Introduction
Einstein was led to mass-energy equivalence by considering the interaction between a charged particle

Name:
For TA/Instructor Use Only. Problem # Points 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 TOTAL
1
Instructions
Write your name in the given space. For problems 1 - 18, Circle the correct answer. For problems 19 - 25, Us

WEIGHTED STANDARD DEVIATION
Statistics LET Subcommands
WEIGHTED STANDARD DEVIATION
PURPOSE
Compute the weighted standard deviation of a variable.
DESCRIPTION
The formula for the standard deviation is:
( xi x ) 2
s= while the formula for the weighted stan

Lesson 09 Radioactivity - 02 MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Exponential Decay and Decay Constant
Consider a large number of radioactive atoms N0 at time t = 0. At any time t, number of atoms left is N . n = number o

Lesson 09 Radioactivity - 02 MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Exponential Decay and Decay Constant
Consider a large number of radioactive atoms N0 at time t = 0. At any time t, number of atoms left is N . n = number o

Duke University Medical Physics Program MP200 - Radiation Physics Fall 2010 Assignment 06 Due 11/05/10
( Show your work for each problem. Partial credits are awarded.)
1. Derive equations 7.8, 7.9 and 7.10 Attix page 127. i.e. h h = h 1 + ( m0 c2 )(1 cos

37480 Tipler(Freem)
RIGHT
INTERACTIVE
top of RH base of RH
More
Derivation of Comptons Equation
Let 1 and 2 be the wavelengths of the incident and scattered x rays, respectively, as shown in Figure 3-21. The corresponding momenta are p1 and p2 E2 c h
2
to

inelastic relativistic collision
A particle of mass m, moving at speed v = 4c/5, collides inelastically with a similar particle at rest. (a) What is the speed vC of the composite particle? (b) What is its mass mC?
Solution by Rudy Arthur:
Call the moving

Inelastic Relativistic Collision
A particle of mass m, moving at speed v = 4c/5, collides inelastically with a similar particle at rest. (a) What is the speed vC of the composite particle? (b) What is its mass mC?
Solution by Michael Gottlieb:
(I choose u

Inelastic Relativistic Collision
A particle of mass m, moving at speed v = 4c/5, collides inelastically with a similar particle at rest. (a) What is the speed vC of the composite particle? (b) What is its mass mC?
Solution by Ilkka Mkinen:
Call the frame

Lesson 01 From Modern Physics to Radiation Physics MP 200 Radiation Physics- 2010 Duke Medical Physics Graduate Program
1
Introduction
In order to study Radiation Physics in detail, we need a knowledge of: Classical mechanics, Special theory of relativity

Lesson 01-contd. Ionizing Radiation MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Ionizing Radiation
Subatomic particles or electromagnetic waves that are energetic enough to detach the electrons from atoms or molecules are called

Lesson 02 Atom MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Introduction
A Brief History of Atom: Daltons Laws In the early 19th century, Dalton formulated his laws of the atom: 1. All elements are composed of atoms, which are in

Lesson 03 Quantities for Describing the Interaction of Radiation with Matter MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Quantities for describing the interaction of radiation with matter
Three nonstochastic quantities that are

Lesson 04 Exponential Attenuation MP200 Radiation Physics - 2010 Duke Medical Physics Graduate Program
1
Introduction
This concept is relevant primarily to uncharged ( photons, neutrons) radiation. Charged particles undergo many small collisions and lose