1. Einstein used thought experiments and his principle that indistinguishable phenomena are the same to formulate the theory of special relativity.
2. The two postulates of special relativity are that all physical laws are the same in any inertial reference frame and that the speed of light is constant.
3. Key consequences of special relativity include time dilation, where moving clocks run slow, and length contraction, where lengths appear shorter to observers in motion.
General Theory of Relativity is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.
Einstein’s Theories of Relativity revolutionized how Today’s Scientific world thinks about Space, Time, Mass, Energy and Gravity. This is purely an imaginative Science that worked in the Laboratory of Einstein's Brain..
General Theory of Relativity is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.
Einstein’s Theories of Relativity revolutionized how Today’s Scientific world thinks about Space, Time, Mass, Energy and Gravity. This is purely an imaginative Science that worked in the Laboratory of Einstein's Brain..
It should be helpful, special thanks to our teacher (whose name is in the power point and the one who made it) from whom I asked his permission to post it here.
posted by Shifat Sanchez..</br>
its about relativity</BR.about sir albert Einstein. quotes about relativity...michelsone and morleys law about relativity....general theory of relativity ..Einstein laws about relativity...Einstein description of laws about theory of special relativity ....first postulates of special law,,sceond postulates of special laws of relativity.........Galilian transformation of relativity....................Lorentz transformation.......... Lorentz transformation about the laws of relativity........Length contractiion .....Time dilation........Mass expansion........E= MC^2 ( theory & provens ))......The life cycle of stars.......Black holes ( slides).............Formation And Properties of blackholes ................Concluation .........Thankyou slide ...............ANY QUESATION ?????????................thank YOU SO MUCH :P :P :P
It should be helpful, special thanks to our teacher (whose name is in the power point and the one who made it) from whom I asked his permission to post it here.
posted by Shifat Sanchez..</br>
its about relativity</BR.about sir albert Einstein. quotes about relativity...michelsone and morleys law about relativity....general theory of relativity ..Einstein laws about relativity...Einstein description of laws about theory of special relativity ....first postulates of special law,,sceond postulates of special laws of relativity.........Galilian transformation of relativity....................Lorentz transformation.......... Lorentz transformation about the laws of relativity........Length contractiion .....Time dilation........Mass expansion........E= MC^2 ( theory & provens ))......The life cycle of stars.......Black holes ( slides).............Formation And Properties of blackholes ................Concluation .........Thankyou slide ...............ANY QUESATION ?????????................thank YOU SO MUCH :P :P :P
Nature is quirky. Whenever things don't quite match up, She changes them so they will. The results often seem to be bizarre and nonsensical, but the more you study it you realize how profoundly wise Nature is. It all started with a thought experiment that Einstein said he came up with at around the age of 16. The young Einstein wondered what would happen if he chased a light beam and caught up with it. This essay describes two of the most important discoveries in science: The Special Theory of Relativity and the General Theory of Relativity. Both of these discoveries were made by a single man, Albert Einstein, over a period of one decade (1905 – 1915). This essay is directed at an audience of amateur scientists like myself. I will approach these two theories on the basis of their underlying principles, deriving as much as possible using basic geometry and a bit of elementary calculus. I will not go into the depth needed to become a “relativist.” Mastery of general relativity would require a good working knowledge of tensors, which is beyond the scope of this essay. Nevertheless, I think amateur scientists like myself will get something useful out of it.
COLLEGE
PHYSICS LAB REPORT
STUDENTS NAME
ANALYSIS OF A BUBBLE CHAMBER PICTURE
SUPERVISED BY:
19/05/2020
1. Introduction
A bubble chamber is a vessel filled with a superheated transparent liquid (most often liquid hydrogen) used to detect electrically charged particles moving through it. It was invented in 1952 by Donald A. Glaser, for which he was awarded the 1960 Nobel Prize in Physics.
A convenient way to study the properties of the fundamental subatomic particles is through observation of their bubble trails, or tracks, in a bubble chamber. Using measurements made directly on a bubble chamber photograph, we can often identify the particles from their tracks and calculate their masses and other properties. In a typical experiment, a beam of a particular type of particle is sent from an accelerator into a bubble chamber, which is a large liquid-filled vessel. To simplify the analysis of the data, the liquid used is often hydrogen, the simplest element. The use of liquid hydrogen, while it simplifies the analysis, complicates the experiment itself, since hydrogen, a gas at room temperature, liquefies only when cooled to -246◦C. For charged particles to leave tracks in passing through the chamber, the liquid must be in a “super-heated” state, in which the slightest disturbance causes boiling to occur. In practice, this is accomplished by expanding the vapor above the liquid with a piston a few thousandths of a second before the particles enter the chamber.
2. Methods
2.1 Materials needed:
1. student worksheet per student
2. Ruler
3. Scissors
4. Glue stick
5. Pocket calculator
2.2 Procedures
2.2.1 Calculation of the X Particle’s Mass.
Make measurements on each of the photographs. In particular, for each of the circled events measure these four quantities:
· `Σ - The length of the Σ track,
· θ - the angle between the Σ− and π− track,
· s - the sagitta of the π− track,
· `π - The chord length of the π− track.
Your values for the event should be close to those given in the sample input. Run the program using each set of measurements, and tabulate the computed X0 mass from each event. Compute an average of the calculated masses and find the average deviation, expressing your result as Mx ±∆Mx.
Compare your final result with some known neutral particles listed below and identify the X0 particle based on this comparison.
Particlemass (in MeV/c2)
π0 135
K0 498
n 940
Λ0 1116
Σ0 1192
Ξ0 1315
2.2.2 Determination of the Angle θ.
The angle θ between the π− and Σ− momentum vectors can be determined by drawing tangents to the π− and Σ− tracks at the point of the Σ− decay.
We can then measure the angle between the tangents using a protractor. We can show.
COLLEGE
PHYSICS LAB REPORT
STUDENTS NAME
ANALYSIS OF A BUBBLE CHAMBER PICTURE
SUPERVISED BY:
19/05/2020
1. Introduction
A bubble chamber is a vessel filled with a superheated transparent liquid (most often liquid hydrogen) used to detect electrically charged particles moving through it. It was invented in 1952 by Donald A. Glaser, for which he was awarded the 1960 Nobel Prize in Physics.
A convenient way to study the properties of the fundamental subatomic particles is through observation of their bubble trails, or tracks, in a bubble chamber. Using measurements made directly on a bubble chamber photograph, we can often identify the particles from their tracks and calculate their masses and other properties. In a typical experiment, a beam of a particular type of particle is sent from an accelerator into a bubble chamber, which is a large liquid-filled vessel. To simplify the analysis of the data, the liquid used is often hydrogen, the simplest element. The use of liquid hydrogen, while it simplifies the analysis, complicates the experiment itself, since hydrogen, a gas at room temperature, liquefies only when cooled to -246◦C. For charged particles to leave tracks in passing through the chamber, the liquid must be in a “super-heated” state, in which the slightest disturbance causes boiling to occur. In practice, this is accomplished by expanding the vapor above the liquid with a piston a few thousandths of a second before the particles enter the chamber.
2. Methods
2.1 Materials needed:
1. student worksheet per student
2. Ruler
3. Scissors
4. Glue stick
5. Pocket calculator
2.2 Procedures
2.2.1 Calculation of the X Particle’s Mass.
Make measurements on each of the photographs. In particular, for each of the circled events measure these four quantities:
· `Σ - The length of the Σ track,
· θ - the angle between the Σ− and π− track,
· s - the sagitta of the π− track,
· `π - The chord length of the π− track.
Your values for the event should be close to those given in the sample input. Run the program using each set of measurements, and tabulate the computed X0 mass from each event. Compute an average of the calculated masses and find the average deviation, expressing your result as Mx ±∆Mx.
Compare your final result with some known neutral particles listed below and identify the X0 particle based on this comparison.
Particlemass (in MeV/c2)
π0 135
K0 498
n 940
Λ0 1116
Σ0 1192
Ξ0 1315
2.2.2 Determination of the Angle θ.
The angle θ between the π− and Σ− momentum vectors can be determined by drawing tangents to the π− and Σ− tracks at the point of the Σ− decay.
We can then measure the angle between the tangents using a protractor. We can show.
COLLEGE
PHYSICS LAB REPORT
STUDENTS NAME
ANALYSIS OF A BUBBLE CHAMBER PICTURE
SUPERVISED BY:
19/05/2020
1. Introduction
A bubble chamber is a vessel filled with a superheated transparent liquid (most often liquid hydrogen) used to detect electrically charged particles moving through it. It was invented in 1952 by Donald A. Glaser, for which he was awarded the 1960 Nobel Prize in Physics.
A convenient way to study the properties of the fundamental subatomic particles is through observation of their bubble trails, or tracks, in a bubble chamber. Using measurements made directly on a bubble chamber photograph, we can often identify the particles from their tracks and calculate their masses and other properties. In a typical experiment, a beam of a particular type of particle is sent from an accelerator into a bubble chamber, which is a large liquid-filled vessel. To simplify the analysis of the data, the liquid used is often hydrogen, the simplest element. The use of liquid hydrogen, while it simplifies the analysis, complicates the experiment itself, since hydrogen, a gas at room temperature, liquefies only when cooled to -246◦C. For charged particles to leave tracks in passing through the chamber, the liquid must be in a “super-heated” state, in which the slightest disturbance causes boiling to occur. In practice, this is accomplished by expanding the vapor above the liquid with a piston a few thousandths of a second before the particles enter the chamber.
2. Methods
2.1 Materials needed:
1. student worksheet per student
2. Ruler
3. Scissors
4. Glue stick
5. Pocket calculator
2.2 Procedures
2.2.1 Calculation of the X Particle’s Mass.
Make measurements on each of the photographs. In particular, for each of the circled events measure these four quantities:
· `Σ - The length of the Σ track,
· θ - the angle between the Σ− and π− track,
· s - the sagitta of the π− track,
· `π - The chord length of the π− track.
Your values for the event should be close to those given in the sample input. Run the program using each set of measurements, and tabulate the computed X0 mass from each event. Compute an average of the calculated masses and find the average deviation, expressing your result as Mx ±∆Mx.
Compare your final result with some known neutral particles listed below and identify the X0 particle based on this comparison.
Particlemass (in MeV/c2)
π0 135
K0 498
n 940
Λ0 1116
Σ0 1192
Ξ0 1315
2.2.2 Determination of the Angle θ.
The angle θ between the π− and Σ− momentum vectors can be determined by drawing tangents to the π− and Σ− tracks at the point of the Σ− decay.
We can then measure the angle between the tangents using a protractor. We can show.
Chapters
Reminders: light
speed of light in a vacuum
A brief historical reminder of the speed of light
Invariance of the speed of light in a vacuum
Influence of the propagation medium
Speed or celerity?
Speed, distance traveled, and duration
Relations including the speed of light
Faster than light?
Speed of light: did you know?
Reminders: light
Light is an electromagnetic wave, consisting of a magnetic field and an electric field oscillating perpendicular to each other in a plane perpendicular to the direction of propagation of the light wave. In a vacuum, light travels in a straight line at the speed of light noted c.
speed of light in a vacuum
Exact value
The exact value of the speed of light was fixed in 1983 by the Bureau of Weights and Measures at c = 299 792 458 m/s or c = 2.99792458 x 10 8 m/s, using the units of the international system. It can also be expressed in kilometers per hour by multiplying the value in m/s by 3.6: c = 1,079,252,848.8 km/h or c = 1.0792528488 x 10 9 km/h. This value, which represents a fundamental constant of physics, can be used for calculations requiring great precision. It is also used to define the meter in the international system of units: one meter corresponds to the length traveled in a vacuum by light for a duration of 1/299,792,458 seconds.
A brief historical reminder of the speed of light
The first conception concerning light suppose that it can be either present in a space, or absent: the light would therefore be instantaneous. The Arab scholar Alhazen (965-1039) was interested in optics and wrote reference treatises. He is the first to have the intuition that the appearance of light is not instantaneous, that it has a speed of propagation, but he cannot prove it.
Galileo (1564-1039) tries to measure the propagation time of light between two hills using two people a few kilometers apart and equipped with clocks. He fails to measure the speed of light (which, in the context of this experiment, takes 10 -5 seconds to travel the previously defined distance, not measurable for the time) and deduces from the failure of this experiment that the speed of propagation of light is very high.
Cassini (1625-1712) speculated that the irregularity in the movement of Io, a satellite of Jupiter, could come from a delay in the arrival of light from the satellite, "such that it takes 10 or 11 minutes for it travels a distance equal to the radius of the Earth's orbit". Römer (1644-1710) explains the discrepancy between the eclipses of Io (a satellite of Jupiter) and Cassini's predictions by assuming that light has a speed of propagation. It is the first to give an order of magnitude of the speed of light.
Bradley (1693-1762) confirms Römer's hypothesis and proposes a first estimate of the speed of light at approximately 10188 times that of the rotation of the Earth around the Sun, the latter being however poorly known. His discovery is linked to the aberration of light,
Telescope history
&facts,
1. The Special Theory of
Relativity
An Introduction to One the
Greatest Discoveries
2. The Relativity Principle
Galileo Galilei
1564 - 1642
Problem: If the earth were
moving wouldn’t we feel it? – No
The Copernican
Model
The Ptolemaic
Model
3. The Relativity Principle
A coordinate system moving at a
constant velocity is called an inertial
reference frame.
v
The Galilean Relativity Principle:
All physical laws are the same in all inertial reference
frames.
Galileo Galilei
1564 - 1642
we can’t tell if
we’re moving!
4. Electromagnetism
James Clerk
Maxwell
1831 - 1879
A wave solution traveling at the
speed of light
c = 3.00 x 108
m/s
Maxwell: Light is an EM wave!
Problem: The equations don’t tell
what light is traveling with respect to
5. Einstein’s Approach to Physics
Albert Einstein
1879 - 1955
1. Gedanken (Thought) Experiments
E.g., if we could travel next to a light
wave, what would we see?
2. “The Einstein Principle”:
If two phenomena are
indistinguishable by experiments
then they are the same thing.
6. Einstein’s Approach to Physics
2. “The Einstein Principle”:
If two phenomena are
indistinguishable by experiments
then they are the same thing.
A magnet moving A coil moving
towards a magnet
Both produce the same current
Implies that they are the same phenomenon
towards a coil
Albert Einstein
1879 - 1955
current current
7. Einstein’s Approach to Physics
All physical laws (like electromagnetic equations)
depend only on the relative motion of objects.
A magnet moving A coil moving
towards a magnet
Implies that we can only measure relative motions, i.e.,
motions of objects relative to other objects.
By the “Einstein Principle” this means all that matters
are relative motions!
towards a coil
current currentEx) same
current
8. Einstein’s Approach to Physics
1. Gedanken (Thought) Experiments
E.g., if we could travel next to a light
wave, what would we see?
c
c
We would see an EM wave frozen in space next to us
Problem: EM equations don’t predict stationary waves
Albert Einstein
1879 - 1955
9. Electromagnetism
Another Problem: Every experiment measured the
speed of light to be c regardless of motion
The observer on the
ground should
measure the speed
of this wave as
c + 15 m/s
Conundrum: Both observers actually measure the
speed of this wave as c!
10. Special Relativity Postulates
1.The Relativity Postulate: The laws of physics are
the same in every inertial reference frame.
2.The Speed of Light Postulate: The speed of light
in vacuum, measured in any inertial reference
frame, always has the same value of c.
Einstein: Start with 2 assumptions & deduce all else
This is a literal interpretation
of the EM equations
11. Special Relativity Postulates
Looking through Einstein’s eyes:
Both observers
(by the postulates)
should measure
the speed of this
wave as c
Consequences:
Time behaves very differently than expected
Space behaves very differently than expected
13. Time Dilation
In Bob’s reference frame the time between A & B is Δt0
Sally
on earth
Bob
Beginning Event B
Ending Event A
D
Δt0
14. Time Dilation
In Bob’s reference frame the time between A & B is Δt0
Sally
on earth
Bob
Beginning Event B
Ending Event A
t
t
lighofspeedthe
eledlight travdistancethe
0 =∆
D
Δt0
c
D2
=
16. Bob
Time Dilation
In Sally’s reference frame the time between A & B is Δt
A BSally
on earth
2
2 2 2
2 2 2
2
v t
s D L D
∆
= + = + ÷
Length of path for the light ray:
c
s
t
2
=∆and
Δt
17. Time Dilation
2
2 2 2
2 2 2
2
v t
s D L D
∆
= + = + ÷
Length of path for the light ray:
c
s
t
2
=∆and
and solve for Δt:
22
/1
/2
cv
cD
t
−
=∆
cDt /20 =∆
Time measured
by Bob
22
0
/1 cv
t
t
−
∆
=∆
18. Time Dilation
22
0
/1 cv
t
t
−
∆
=∆
Δt0 = the time between the
two events measured by Bob
Δt = the time between the two
events measured by Sally
v = the speed of one
observer relative to the other
Time Dilation = Moving clocks slow down!
If Δt0 = 1s, v = .9999 c then: s7.70
9999.1
s1
2
≈
−
=∆t
19. Time Dilation
Bob’s watch always displays his proper time
Sally’s watch always displays her proper time
How do we define time?
The flow of time each observer experiences is measured
by their watch – we call this the proper time
If they are moving relative to each other they
will not agree
20. Time Dilation
A Real Life Example: Lifetime of muons
Muon’s rest lifetime = 2.2x10-6
seconds
Many muons in the upper atmosphere (or in the
laboratory) travel at high speeds.
If v = 0.9999 c. What will be its average lifetime as
seen by an observer at rest?
s105.1
9999.1
s102.2
/1
4
2
6
22
0 −
−
×≈
−
×
=
−
∆
=∆
cv
t
t
21. Length Contraction
Bob’s reference frame:
The distance measured by the spacecraft is shorter
Sally’s reference frame:
Sally
Bob
The relative speed v is the
same for both observers:
22
0
/1 cv
t
t
−
∆
=∆
22
0 /1 cvLL −=
t
L
v
∆
= 0
0t
L
∆
=
t∆ 0t∆
22. Length Contraction
Sally
Bob
22
0 /1 cvLL −=
t∆ 0t∆
L0 = the length measured by Sally
L = the length measured by Bob
Length Contraction =
If L0 = 4.2x1022
km, v = .9999 c then km100.6 20
×≈L
To a moving observer all
lengths are shorter!
23. Summary
Einstein, used Gedanken experiments and the
“Einstein Principle” to formulate the postulates of
special relativity:
1. All physical laws are the same in all inertial
reference frames
2. The constancy of the speed of light
The consequences were that
1. Moving clocks slow down
2. To a moving observer all lengths are shorter.
24. Special Relativity & Beyond
The special theory of relativity dramatically changed
our notions of space and time.
Because of this, mechanics (like notions of energy,
momentum, etc.) change drastically, e.g., E=mc2
.
Special relativity only covers inertial
(non-accelerated) motion. To include acceleration
properly we must incorporate gravity. This theory is
known as the general theory of relativity which is
Einstein’s greatest contribution to physics.
25. Real Life Application of Relativity
In Global Positioning Satellite (GPS) general
relativistic corrections are needed to accurately
predict the satellite’s clock which ticks slower in orbit.
Without it you GPS would be off by at least 10
kilometers. With the corrections you can predict
positions within 5-10 meters
http://www.astronomy.ohio-state.edu/~pogge/Ast162/Unit5/gps.html