A Concise Introduction to Astrophysics
Lecture Notes for FY2450
M. Kachelrie
M. Kachelrie
Institutt for fysikk
NTNU, Trondheim
Norway
email: [email protected]
c M. Kachelrie 2008, minor corrections 2011.
Copyright
Contents
I
Stellar astrophys
PHYSICS EXAMINATION PROBLEMS
SOLUTIONS AND HINTS FOR STUDENT SELF-STUDY
Module Code
PHY1022
Name of module
Introduction to Astrophysics
Date of examination
1.
(i)
January 2014
The first part of this question is bookwork.
The leptons are tau neutron and el
1
Vector mechanics 1021
Dr. Stavroula Foteinopoulou
HINTS AND TIPS- FINAL EXAM JAN 2013
PROBLEM 1
(i) Work-energy theorem: The net work done on a particle is equal to the change in its kinetic energy
W =
!
f
!
f
Fx dx =
1
1
mvf2 mvi2
2
2
Fx dx =
!
i
Proof
Vector mechanics PHY1021: Jan 2011 examHints and tips
Lecturer: Dr. Stavroula Foteinopoulou
1 (i)
W < 0 if force causes a KE < 0 contribution.
Friction is not possible to do negative work in translational motion.
W = !KE
!B
!B
!B
B
W = A Fx dx = A max dx
PHYSICS EXAMINATION PROBLEMS
SOLUTIONS AND HINTS FOR STUDENT SELF-STUDY
Module Code
PHY1021
Name of module
Vector Mechanics
Date of examination
January 2015
Question 1.
[25]
(i) The tranformation matrix is a standard, anticlockwise rotation of S to S 0 as
PHYSICS EXAMINATION PROBLEMS
SOLUTIONS AND HINTS FOR STUDENT SELF-STUDY
Module Code
PHY1021
Name of module
Vector Mechanics
Date of examination
January 2016
Question 1.
[25]
ri = (5, 6)
The angle ( 14.7 ) you can find from the dot product.
At first sight,
PHY1022:
Introduction to Astrophysics!
Prof. Sean Matt!
Office: Physics 507 (5th floor)!
Tel: x6611!
email: [email protected]!
Note that the lectures are being recorded!
PHY1022!
Key Information!
Assessments:!
10% Problem sets (7 throughout term)!
15%
PHY1022
UNIVERSITY OF EXETER
PHYSICS
JANUARY 2011
INTRODUCTION TO ASTROPHYSICS
Duration: TWO HOURS
Answer FOUR questions.
Full marks (100) are attained with four complete answers (subject to moderation at
the Examination Board). The maximum marks attainab
Announcements
Lectures are being recorded.
Problem Set 1 due next week (week 3), Thursday
Note that first midterm test is week 4
Comments on examinable content
PHY1022
Lecture 3: Wavepackets
and Heisenbergs
Uncertainty Principle
l
A mathematical descripti
PHY1022
UNIVERSITY OF EXETER
PHYSICS AND ASTRONOMY
JANUARY 2014
INTRODUCTION TO ASTROPHYSICS
Duration: TWO HOURS
Answer FOUR questions.
Full marks (100) are attained with four complete answers (subject to moderation at
the Examination Board). The maximum
Lecture 5: Bohrs
model of the atom
!
Historical perspective!
Bohrs assumptions about the atom!
Calculation of energy levels of
hydrogen!
Spectral line sequences (Lyman,
Balmer etc)!
Extension to hydrogen-like ions!
PHY1022!
Bohrs model of the atom
!
PHY10
PHY1022
UNIVERSITY OF EXETER
PHYSICS AND ASTRONOMY
JANUARY 2013
INTRODUCTION TO ASTROPHYSICS
Duration: TWO HOURS
Answer FOUR questions.
Full marks (100) are attained with four complete answers (subject to moderation at
the Examination Board). The maximum
Lecture 2: Wave-particle
duality!
l
Historical background!
l
The De Broglie wavelength!
l
The Davisson-Germer Experiment!
l
Youngs double slit experiment revisited!
PHY1022!
Corpuscular theory of light (1672)
PHY1022!
Corpuscular theory of light (1672)
PHY1022
UNIVERSITY OF EXETER
PHYSICS AND ASTRONOMY
JANUARY 2015
INTRODUCTION TO ASTROPHYSICS
Duration: TWO HOURS
Answer ALL four questions.
Full marks (100) are attained with four complete answers (subject to moderation at
the Examination Board). The maxi
PHY1022 Introduction to Astrophysics
Feedback on Examination of January 2016
Summary
The marks quoted in this report are preliminary and may be subject to scaling.
30
PHY1022 Final
Frequency
25
20
15
10
0
0
5
10
15
20
25
30
PHY1022
UNIVERSITY OF EXETER
PHYSICS
JANUARY 2012
INTRODUCTION TO ASTROPHYSICS
Duration: TWO HOURS
Answer FOUR questions.
Full marks (100) are attained with four complete answers (subject to moderation at
the Examination Board). The maximum marks attainab
PHY1022
UNIVERSITY OF EXETER
PHYSICS AND ASTRONOMY
JANUARY 2016
INTRODUCTION TO ASTROPHYSICS
Duration: TWO HOURS
Answer ALL four questions.
Full marks (100) are attained with four complete answers (subject to moderation at
the Examination Board). The maxi
Announcements
Lectures are being recorded.
Reminders: Problem Set 1 due in week 3, MST1 is
in week 4
ELE Q & A Forum (and News Forum)
PHY1022
Lecture 4: Probabilities
and Wavefunctions
l
Probabilities and wave functions
l
Normalization
l
Particle in a box
Lecture 6:
Atomic structure and
Hunds rules
Quantum numbers
The Stern-Gerlach experiment
The Pauli exclusion principle
Electron configurations and Hunds rule
Selection rules and allowed transitions
PHY1022
Quantum numbers
In our analysis of the Bohr mode
Lecture 5: Bohrs
model of the atom
The problem with Rutherfords planetary model of
the atom is that accelerating charges produce EM
radiation. As the electron orbits the nucleus at
frequency f it would undergo continuous acceleration,
and therefore lose e
PHYSICS EXAMINATION FEEDBACK
Module Code
Name of module
Date of examination
PHY1022
Introduction to Astrophysics
January 2013
I have marked your exams. There were some very good papers (98% maximum!) and about half the students got
60% or more, but there
PHYSICS EXAMINATION FEEDBACK
Module Code
Name of module
Date of examination
PHY1022
Introduction to Astrophysics
January 2012
1. Most students opted to take this question. Most students got the first part, but few could use the uncertainty principle
to fi
Lecture 6:
Atomic structure and
Hunds rules
Quantum numbers
In our analysis of the Bohr model we considered only
the radial direction (i.e. the model was one dimensional)
and used only the principal quantum number, n.
Quantum numbers
Full three-dimension
Corpuscular theory of light (1672)!
Lecture 2: Wave-particle
duality!
!
Historical background!
!
The De Broglie wavelength!
!
The Davisson-Germer Experiment!
!
Youngs double slit experiment revisited!
Light made up of particles that obey Newtons laws.!
Re
PHYSICS EXAMINATION FEEDBACK
Module Code
Name of module
Date of examination
PHY1022
Introduction to Astrophysics
January 2014
The average for this year's paper was 59% with a standard deviation of 13%. There were some really good papers,
and the average m
PHY1022 Practice Problems
Lecture 01
1.
How many photons are emitted each second from the sun? (Use the solar luminosity
of 3.846 1026 W, and assume all light comes out near the peak wavelength of 500
nm.)
Lecture 3: Wavepackets
and Heisenbergs
Uncertainty Principle
!
A mathematical description of waves
!
Modelling a particle using a wave
!
Heisenberg s Uncertainty Principle
If the wave moves to the right at speed v, then after
time t the wave equation beco
PHY1022 Practice Problems
Lecture 03
1.
An aggressive swan bites your friend on the toe, while walking along the Exeter
Quay. To shake off the pain, he hops around for a while on one foot. Sympathetically,