Probability Theory
MATH 2603/3603
Zheng Qu
The University of Hong Kong
Lecture 8
September 28, 2017
1/9
Previously
I
Conditional Expectation (general definition)
I
Independent Random Variables
I
Expectation and Variance of Compound Random Variable
P
E[X ]
UniversityofHongKong
MastersofSocialSciencesinCorporateEnvironmentalGovernance
CEGP6012EnvironmentalManagementandAuditingSystems(6Credits)
CourseOutlineSemesterI201718
DrJoyceTsoi
email:[email protected]
CourseDescription
This course is dedicated to the
PHYS 1150 - Problem Solving in Physics
Solution of Assignment 6
Due date: 5:00pm, April 11, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) (a) Recall that the
PHYS 1150 - Problem Solving in Physics
Original note by Lee Kai Ming
CYMP Rm 415A
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2859 2370
Supplemented by Shizhong Zhang
CYMP Rm 526
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January 2017
Contents
1 Polynomials and Complex Numbers
1.1 Polynomi
THE UNIVERSITY OF HONG KONG
Department of Physics
BSc Final Examination in December 2017 - Mid-term Exam
PHYS1150 Problem Solving in Physics - Suggested Solutions
March 11, 2017
10:00 am. - 12:00 am.
The final examination contains seven problems. Answer A
PHYS 1150 - Problem Solving in Physics
Assignment 6
Due date: 5:00pm, April 18, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) Find the following limits.
(a)
c
THE UNIVERSITY OF HONG KONG
Department of Physics
BSc Final Examination in December 2017 - Mid-term Exam
PHYS1150 Problem Solving in Physics
March 11, 2017
10:00 am. - 12:00 am.
The final examination contains seven problems. Answer ALL of them on the answ
PHYS 1150 - Problem Solving in Physics
Solution of Assignment 6
Due date: 5:00pm, April 18, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) Find the following l
PHYS 1150 - Problem Solving in Physics
Solution of Assignment 2
Due date: 5:00pm, Monday 29, 2016
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) Find out
(a)
4 22 1
PHYS 1150 - Problem Solving in Physics
Assignment 2
Due date: 5:00pm, Wednesday 29, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) Find out
(a)
4 22 15
2 2 18
PHYS 1150 - Problem Solving in Physics
Solution of Assignment 6
Due date: 5:00pm, April 11, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) (a) Recall that the
PHYS 1150 - Problem Solving in Physics
Solution of Assignment 1
Due date: 5:00pm, February 21, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) (a) By plotting t
PHYS 1150 - Problem Solving in Physics
Solution of Assignment 4
Due date: 5:00pm, March 31, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) (a) Find the eigenva
PHYS 1150 - Problem Solving in Physics
Assignment 1
Due date: 5:00pm, February 21, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (10 marks) (a) By plotting the graph of
PHYS 1150 - Problem Solving in Physics
Solution of Assignment 3
Due date: 5:00pm, March 21, 2017
Please submit to the assignment box in first floor of CYMP Buld.
Give answers and explanations for the following questions.
1. (15 marks) Consider the system
Experiment 2a
Class:
Name:
(
) Date:
2a Ohms law
Objective
To find out how the voltage across a conductor is related to the
current flowing through it.
Background information
1
Current is the rate of flow of electric charges. The size of current in a
ci
Experiment 2c
Class:
Name:
(
) Date:
2c Effect of length and thickness on
resistance
Objective
To find out how the resistance of a metal wire is affected by its
length and thickness (cross-sectional area).
Background information
1
The resistance of a c
Experiment 1b
Class:
Name:
(
) Date:
1b Fun with electric charges
Objective
To study several phenomena involving electric charges using a Van
de Graaff generator.
Background information
4
1
There are two kinds of charges: positive and negative. Like cha
Class:
Name:
(
Experiment 1d
) Date:
1d Finding points of equal potential
Objective
To find out points of equal potential in an electric field.
Background information
1
The gain in electric potential energy of a charged object in an electric
field is the
Experiment 1c
Class:
Name:
(
) Date:
1c Electric field patterns
Objective
To study the electric field patterns between electrodes.
Background information
Semolina is used
for making puddings
and is available from
supermarkets. The
semolina used must be
l
Class:
Name:
(
Experiment 1a
) Date:
1a Charging by friction
Objective
To charge objects by friction and study the forces between them.
Background information
1
Plastic materials can be charged by rubbing and this is called charging
by friction.
2
Charg
Class:
Name:
(
) Date:
Experiment 2d
2d Equivalent resistance of resistors in
series
Objective
To find out how the equivalent resistance of resistors connected in
series is related to the individual resistances of them.
Background information
1
or
2
Experiment 2b
Class:
Name:
(
) Date:
2b To investigate the VI relationship of a
light bulb
Objective
To investigate the relationship between the voltage across a light
bulb and the current flowing through it.
Background information
1
The resistance of
Class:
Name:
(
Experiment 2f
) Date:
2f Using an ammeter to measure current
Objective
To study the effect of internal resistance of an ammeter in
measuring current.
Background information
1
The equivalent resistance of resistors connected in series is eq
Class:
Name:
(
) Date:
Experiment 2e
2e Equivalent resistance of resistors in
parallel
Objective
To find out how the equivalent resistance of resistors connected in
parallel is related to the individual resistances of them.
Background information
1
or
An Introduction to Quantum Field Theory
Hartmut Wittig
Theory Group
Deutsches Elektronen-Synchrotron, DESY
Notkestrasse 85
22603 Hamburg
Germany
Lectures presented at the School for Young High Energy Physicists,
Rutherford Appleton Laboratory, September 2
PHYS 1304/2055 - Introduction To Relativity
Test
12:30pm-1:20pm, April 10, 2014
1. (30 marks) Given that the Lorentz transformation along the x-axis is
t vx/c2
t0 = q
1 v 2 /c2
x vt
x0 = q
1 v 2 /c2
y0 = y
z0 = z ,
(1)
(2)
(3)
(4)
prove that the Lorentz t
THE UNIVERSITY OF HONG KONG
Department of Physics
BSc Examination in May 2012
PHYSl303 Special Relativity I
May 23, 2012 2:30pm 3:30pm
Oniy approved calculators as announced by the Examinations Secretary can be used in
this examination. It is candidates r
THE UNIVERSITY OF HONG KONG
B.Sc. Examination in December 2004 / January 2005
PHYSl303 Special Relativity I
December 23, 2004 2:30 pm. - 3:30 pm.
Answer ALL questions.
1.
The Michelson-Morley experiment
A. conrmed that time dilation occurs.
proved that le
PHYS 1304/2055 - Introduction To Relativity
Solution of Test
12:30pm-1:20pm, April 10, 2014
1. Standard book work, Eq. (3.20) to Eq. (3.24) in lecture note.
q
2. (a) x0 = x/ 1 v 2 /c2 . Hence, the spatial separation in other
frames is greater than or equa