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Our Universe
Coursework 8
Due in on Wednesday of week 10 at 16:00
Useful information
Boltzmanns constant k = 1.38 1023 J K1
Mass of hydrogen atom mH = 1.67 1027 kg
Gravitational constant G = 6.67 1011 N kg2 m2
Solar mass Msun = 2 1030 kg
Solar luminosity
Our Universe
Coursework 6
Due in on Wednesday of week 8 at 16:00
Exercise class question - not to be handed in
The purpose of this question is to illustrate the fact that the tidal acceleration exerted by a central
star acting to tidally deform an orbitin
Our Universe
Coursework 4
Due in on Wednesday of week 5 at 16:00
Useful Information
Gravitational constant G = 6.67 1011 N m2 / kg2
Solar mass 1.98 1030 kg
Exercise class question - not to be handed in
Consider two solar-mass stars that are on circular
Our Universe
Coursework 7
Due in on Wednesday of week 9 at 16:00
Useful information
Boltzmanns constant k = 1.38 1023 J K1
Plancks constant h = 6.63 1034 m2 kg s1
Mass of hydrogen molecule mH2 = 3.34 1027 kg
Gravitational constant G = 6.67 1011 N kg2 m2
S
Our Universe
Coursework 5
Due in on Wednesday of week 6 at 16:00
Exercise class question - not to be handed in
The Earth spins on its axis once every 24 hours, and the Moon orbits the Earth once every 27.3
days. The mass of the Moon is 6.8 1022 kg, and th
Our Universe
Coursework 9
Not to be handed in - practice questions from weeks 11 and 12 of the lecture course
Useful information
Boltzmanns constant k = 1.38 1023 J K1
Mass of hydrogen atom mH = 1.67 1027 kg
Gravitational constant G = 6.67 1011 N kg2 m2
S
Electric and Magnetic Fields - Solutions 1
Chris White ([email protected])
1. The dot product between two vectors is zero if either of the vectors has zero magnitude, or if cos = 0,
where is the angle between them. This occurs if the vectors ar
Electric and Magnetic Fields - Solutions 5
Chris White ([email protected])
1. The drift velocity is the average velocity that a mobile charge carrying particle has in a conducting
material, due to an electric field being applied. It is typicall
y
L
Q1
P
x
L
x
Q2
Figure 1: Charge configuration used in question 1.
Electric and Magnetic Fields - Exercises 2
Chris White ([email protected])
Questions marked with () are meant to be more challenging. Please let me know of any typing errors a
Electric and Magnetic Fields - Solutions 2
Chris White ([email protected])
1. The field due to a system of point charges can be obtained by superposing the field due to the individual
charges:
X Qi (x xi )
E=
.
40 |x xi |3
i
One has
x
0
x x1
Electric and Magnetic Fields - Solutions 3
Chris White ([email protected])
1. Gauss law states that
E =
Q
,
0
where E is the total electric flux through a closed surface S, and Q the total charge enclosed by S.
In this case there is an electron
v +
v
R
Figure 1: The electron and proton of question 4.
Electric and Magnetic Fields - Exercises 6
Chris White ([email protected])
Questions marked with () are meant to be more challenging. Please let me know of any typing errors and
/ or othe
E
L
L
Figure 1: The electron loop (shown in red) considered in problem 1.
Electric and Magnetic Fields - Exercises 4
Chris White ([email protected])
Questions marked with () are meant to be more challenging. Please let me know of any typing err
Electric and Magnetic Fields - Exercises 3
Chris White ([email protected])
Questions marked with () are meant to be more challenging. Please let me know of any typing errors and
/ or other mistakes.
1. An electron is at the centre of a cube. Wh
Electric and Magnetic Fields - Exercises 5
Chris White ([email protected])
Questions marked with () are meant to be more challenging. Please let me know of any typing errors and
/ or other mistakes.
1. Explain what is meant by drift velocity of
z
y
x
I
I
(a)
y
(b)
Figure 1: (a) An infinite sheet of current in the (x, y) plane; (b) a view looking down the x-axis, such that
the current is pointing towards us.
Electric and Magnetic Fields - Exercises 7
Chris White ([email protected])
Que
Electric and Magnetic Fields - Exercises 1
Chris White ([email protected])
Questions marked with () are meant to be more challenging. Please let me know of any typing errors and
/ or other mistakes.
1. Under what conditions is the dot product b
Quantum Physics PHY4215 - Exercise Sheet 5
1. The Gaussian wavepacket is a wave with variable amplitude
(x) k0 ,d (x) =
2
1
ik0 x x 2
2d
e
1
4 d
Show that this is a normalized wavefunction, i.e.
Z
(x) (x)dx = 1
You may use the integral
Z
ax2
dx e
r
=
a
2
Electrostatics
When some materials are rubbed, they become charged with static electricity. They can then
attract other materials. The force of friction causes charging. This effect can be used in some
dusting brushes. The brush becomes charged and attrac
Radioactivity
Everything around us is made up of atoms. Each atom has a central nucleus, with
electrons orbiting around it.
The nuclei of most atoms are stable; however, in a small
number of atoms, the nuclei are unstable. Radioactive
decay occurs when th
Alpha,
Beta and Gamma
Radiation
Nuclear radiation occurs naturally and is around us all the time.
Radioactive decay occurs when a nucleus of an unstable atom breaks down and
emits ionising radiation.
There are 3 types of radiation:
Alpha particles ()
Beta
Alpha,
Beta and Gamma
Radiation
Nuclear radiation occurs naturally and is around us all the time.
Radioactive decay occurs when a nucleus of an unstable atom breaks down and
emits ionising radiation.
Alpha particles () stoppped by a sheet of paper
Beta pa
Electricity from the Sun
The sun is a stable source of energy. It transfers energy to Earth as light and infra-red radiation.
Energy from the sun can be used to generate electricity directly. Photocells absorb light energy
and transform it into electrical
Heat and Temperature
The temperature of a substance tells us how much energy each particle has. It is a
measure of the average kinetic energy per particle in a substance. Heat is a
measure of energy. It tells us how much energy all of the particles have t
Physics
Investigato
ry Project
Ishika Gupta
XII-A
9
2016-17
CERTIFICATE
This is to certify that ISHIKA GUPTA of class XII-A has
completed the project on
To investigate the relation between the ratio of:
1.
Input and Output Voltage
2.
Number of turnings