This document provides an overview of modern physics concepts covered in a 1EE modern physics course, including special relativity. It discusses how classical physics concepts of space, time, and velocity were found to be inconsistent with experimental results. The document uses examples such as particle lifetime experiments and velocity addition to show how observations cannot be explained unless space and time are treated as relative and velocities are limited to the speed of light. The principles of relativity were developed by Einstein to resolve these inconsistencies and form the foundations of modern physics.
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.
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.
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.
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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
basic principles of electrical machines,faraday's laws of electro magnetic induction principle.dynamically induced Emf statically induced emf applications to electrical machines
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.
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
basic principles of electrical machines,faraday's laws of electro magnetic induction principle.dynamically induced Emf statically induced emf applications to electrical machines
This powerpoint contains lessons about on how to read multimeter, on how to compute wire resistivity and also formula for computing current,volt and resistance
The Equation Based on the Rotational and Orbital Motion of the PlanetsIJERA Editor
Equations of dependence of rotational and orbital motions of planets are given, their rotation angles are calculated. Wave principles of direct and reverse rotation of planets are established. The established dependencies are demonstrated at different scale levels of structural interactions, in biosystems as well. The accuracy of calculations corresponds to the accuracy of experimental data
TECHNICAL TRAINING MANUAL GENERAL FAMILIARIZATION COURSEDuvanRamosGarzon1
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Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
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A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
Democratizing Fuzzing at Scale by Abhishek Aryaabh.arya
Presented at NUS: Fuzzing and Software Security Summer School 2024
This keynote talks about the democratization of fuzzing at scale, highlighting the collaboration between open source communities, academia, and industry to advance the field of fuzzing. It delves into the history of fuzzing, the development of scalable fuzzing platforms, and the empowerment of community-driven research. The talk will further discuss recent advancements leveraging AI/ML and offer insights into the future evolution of the fuzzing landscape.
Courier management system project report.pdfKamal Acharya
It is now-a-days very important for the people to send or receive articles like imported furniture, electronic items, gifts, business goods and the like. People depend vastly on different transport systems which mostly use the manual way of receiving and delivering the articles. There is no way to track the articles till they are received and there is no way to let the customer know what happened in transit, once he booked some articles. In such a situation, we need a system which completely computerizes the cargo activities including time to time tracking of the articles sent. This need is fulfilled by Courier Management System software which is online software for the cargo management people that enables them to receive the goods from a source and send them to a required destination and track their status from time to time.
Vaccine management system project report documentation..pdfKamal Acharya
The Division of Vaccine and Immunization is facing increasing difficulty monitoring vaccines and other commodities distribution once they have been distributed from the national stores. With the introduction of new vaccines, more challenges have been anticipated with this additions posing serious threat to the already over strained vaccine supply chain system in Kenya.
Explore the innovative world of trenchless pipe repair with our comprehensive guide, "The Benefits and Techniques of Trenchless Pipe Repair." This document delves into the modern methods of repairing underground pipes without the need for extensive excavation, highlighting the numerous advantages and the latest techniques used in the industry.
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Ideal for homeowners, contractors, engineers, and anyone interested in modern plumbing solutions, this guide provides valuable insights into why trenchless pipe repair is becoming the preferred choice for pipe rehabilitation. Stay informed about the latest advancements and best practices in the field.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
2. Course Contents
• 1- Special theory of relativity
• 2- The particle properties of waves
• References:
• 1- Modern Physics by Kenneth Krane (third edition)
• 2-Concepts of modern Physics by Arthur Beiser (fifth edition)
3. What is Relativity?
• Until the end of the 19th century it was believed that Newton’s three
Laws of Motion and the associated ideas about the properties of
space and time provided a basis on which the motion of matter could
be completely understood. (Classical Physics)
• However, the formulation by Maxwell was inconsistent with certain
aspects of the Newtonian ideas of space and time.
• Albert Einstein combined the experimental results and physical
arguments of others with his own unique insights, first formulated the
new principles in terms of which space, time, matter and energy were
to be understood. These principles, and their consequences
constitute the Special Theory of Relativity. Later, Einstein was able to
further develop this theory, leading to what is known as the General
Theory of Relativity
4. • Relativity (both the Special and General) theories, quantum
mechanics, and thermodynamics are the three major theories on
which modern physics is based
• What the principle of relativity essentially states is the following:
• The laws of physics take the same form in all frames of reference
moving with constant velocity with respect to one another.
• the laws of physics are expressed in terms of equations, and the form
that these equations take in different reference frames moving with
constant velocity with respect to one another can be calculated by
use of transformation equations – the so-called Galilean
transformation
5. • the applications of those theories to understanding the atom, the
atomic nucleus and the particles of which it is composed, collections
of atoms in molecules and solids, and, on a cosmic scale, the origin
and evolution of the universe.
6.
7. What is GPS?
Global Positioning System (GPS).
GPS was developed by the United States Department of Defense to provide a
satellite-based navigation system for the U.S. military.
• Commercial airliner, luxury cars now come with built-in navigation systems that
include GPS receivers with digital maps
• Hand-held GPS navigation units
• The current GPS configuration consists of a network of 24 satellites in high orbits
around the Earth. Each satellite in the GPS constellation orbits at an altitude of
about 20,000 km from the ground, and has an orbital speed of about 14,000
km/h
8.
9. How does it work?
• Each satellite carries with it an atomic clock that "ticks" with an accuracy of
1 nanosecond . A GPS receiver in an airplane determines its current
position and heading by comparing the time signals it receives from a
number of the GPS satellites (usually 6 to 12). The precision achieved is
remarkable: even a simple hand-held GPS receiver can determine your
absolute position on the surface of the Earth to within 5 to 10 meters in
only a few seconds. A GPS receiver in a car can give accurate readings of
position, speed, and heading in real-time!
• The clock ticks from the GPS satellites must be known to an accuracy of
20-30 nanoseconds. However, because the satellites are constantly moving
relative to observers on the Earth, effects predicted by the Special and
General theories of Relativity must be taken into account to achieve the
desired 20-30 nanosecond accuracy.
10.
11. Review of Classical Mechanics
Mechanics:
• A particle of mass “m” moving with velocity “v” has a kinetic energy
defined by
퐾 =
1
2
푚푣2 (Joules) (1)
• and linear momentum “ 푝 "
푝 = 푚푣 (kg·m/s) or (N·s) (2)
• In terms of the linear momentum, the kinetic energy can be written
퐾 =
푝2
2푚
(3)
12. Fundamental Conservation Laws
• When one particle collides with another, we analyze the collision by applying two
fundamental conservation laws:
• 1. Conservation of Energy: The total energy of an isolated system (on which no
net external force acts) remains constant. In the case of a collision between
particles, this means that the total energy of the particles before the collision is
equal to the total energy of the particles after the collision.
• 2. Conservation of Linear Momentum: The total linear momentum of an isolated
system remains constant. For the collision, the total linear momentum of the
particles before the collision is equal to the total linear momentum of the
particles after the collision. Because linear momentum is a vector, application of
this law usually gives us two equations, one for the x components and another for
the y components.
• The importance of these conservation laws is both so great and so fundamental
that, even though the special theory of relativity modifies Eqs. (1), (2), and (3),
the laws of conservation of energy and linear momentum remain valid.
13. Example
• A helium atom (m = 6.6465 × 10−27 kg) moving at a speed of 푣퐻푒=
1.518 × 106 m/s collides with an atom of nitrogen (m = 2.3253 × 10−26
kg) at rest. After the collision, the helium atom is found to be moving
with a velocity of 푣퐻푒= 1.199 × 106 m/s at an angle of ϑ퐻푒= 78.75◦
relative to the direction of the original motion of the helium atom.
(a) Find the velocity (magnitude and direction) of the nitrogen atom
after the collision.
(b) Compare the kinetic energy before the collision with the total
kinetic energy of the atoms after the collision.
14.
15. Solution
• (a) The law of conservation of momentum for this collision can
• be written in vector form as
푝 푖푛푖푡푖푎푙 = 푝 푓푖푛푎푙
which is equivalent to
푝 푥,푖푛푖푡푖푎푙 = 푝 푥,푓푖푛푎푙 and 푝 푦,푖푛푖푡푖푎푙 = 푝 푦,푓푖푛푎푙
• Let’s choose the x axis to be the direction of the initial motion of the
helium atom. Then, from figure (1), the initial values of the momentum
are,
푝 푥,푖푛푖푡푖푎푙 = 푚퐻푒푣퐻푒
푝 푦,푖푛푖푡푖푎푙 = 0
16. • And the final momentum can be written as
′ cos ϑ퐻푒+푚푁푣푁′
푝 푥,푓푖푛푎푙= 푚퐻푒푣퐻푒
cos ϑ푁= 푚퐻푒 푣퐻푒
′ sin ϑ퐻푒+푚푁푣푁′
푝 푦,푓푖푛푎푙= 푚퐻푒푣퐻푒
sin ϑ푁= 0
• Solving for the unknown terms, we find
푚퐻푒(푣퐻푒−푣퐻푒
푣푁′ cos ϑ푁=
′ cos ϑ퐻푒)
푚푁
푣푁′
sin ϑ푁= -
′ sin ϑ퐻푒)
푚푁
푚퐻푒푣퐻푒
17. • We now solve for 푣푁′
and ϑ푁
푣푁′
= (푣푁′
sin ϑ푁)2+(푣푁′ cos ϑ푁)2
=4.977 *105 m/s
ϑ푁= tan−1 푣푁′
sin ϑ푁
푣푁′
cos ϑ푁
= -42.48˚
• (b) The initial kinetic energy is
퐾푖푛푖푡푖푎푙 =
1
2
푚퐻푒푣′
퐻푒
2= 7.658 × 10-15 J
and the total final kinetic energy is
퐾푓푖푛푎푙 =
1
2
푚퐻푒 푣′퐻푒
2+
1
2
푚푁푣′푁
2= 7.658 × 10-15 J
• Note that the initial and final kinetic energies are equal.
• This is the characteristic of an elastic collision, in which no energy is lost to, for
example, internal excitation of the particles.
18. Example
• An atom of uranium (m = 3.9529 × 10−25 kg) at rest decays
spontaneously into an atom of helium (m = 6.6465 × 10−27 kg) and an
atom of thorium (m = 3.8864 ×10−25 kg). The helium atom is observed
to move in the positive x direction with a velocity of 1.423 × 107 m/s
(see Figure)
• (a) Find the velocity (magnitude and direction) of the thorium atom.
• (b) Find the total kinetic energy of the two atoms after the decay.
19. Velocity Addition
Suppose a jet plane is moving at a velocity of vPG = 650m/s, as measured by an
observer on the ground. The subscripts on the velocity mean ”velocity of the plane
relative to the ground”.
The plane fires a missile in the forward direction; the velocity of the missile relative
to the plane is vMP = 250m/s. According to the observer on the ground, the velocity
of the missile is:
.
We can generalize this rule as follows:
Let 푣퐴퐵 represent the velocity of A relative to B, and let 푣퐵퐶 represent the
velocity of B relative to C. Then the velocity of A relative to C is
• 푣퐴퐶 = 푣퐴퐵 +푣퐵퐶 (4)
• This equation is written in vector form to allow for the possibility that the
velocities might be in different directions; for example, the missile might be fired
not in the direction of the planes velocity but in some other direction. This seems
to be a very ”common-sense” way of combining velocities, but this common-sense
rule can lead to contradictions with observations when we apply it to
speeds close to the speed of light.
20. The failure of Classical Concept of Time
• In high-energy collisions between two protons, many new particles can be
produced, one of which is a pi meson (also known as a pion). When the
pions are produced at rest in the laboratory, they are observed to have an
average lifetime (the time between the production of the pion and its
decay into other particles) of 26.0 ns . On the other hand, pions in motion
are observed to have a very different lifetime.
• In one particular experiment, pions moving at a speed of 2.737×108 m/s
(91.3% of the speed of light) showed a lifetime of 63.7ns.
• Let us imagine this experiment as viewed by two different observers .
Observer O1, at rest in the laboratory, sees the pion moving relative to the
laboratory at a speed of 91.3% of the speed of light and measures its
lifetime to be 63.7ns. Observer O2 is moving relative to the laboratory at
exactly the same velocity as the pion, so according to O2 the pion is at rest
and has a lifetime of 26.0ns. The two observers measure different values
for the time interval between the same two events (the formation of the
pion and its decay).
21. (a) The pion experiment according to O1
markers A and B respectively show the
locations of the pions creation and decay.
(b) The same experiment as viewed by O2,
relative to whom the pion is at rest and
the laboratory moves with velocity −v.
According to Newton, time is the same for all
observers. Newtons laws are based on this
assumption. The pion experiment clearly
shows that time is not the same for all
observers, which indicates the need for a new
theory that relates time intervals measured by
different observers who are in motion with
respect to each other.
22. The failure of Classical Concept of Space
• The pion experiment also leads to a failure of the classical ideas about space.
Suppose O1 erects two markers in the laboratory, one where the pion is created
and another where it decays. The distance D1 between the two markers is equal
to the speed of the pion multiplied by the time interval from its creation to its
decay:
D1 = (2.737 × 108m/s)(63.7 × 10−9s) = 17.4m.
• To O2, traveling at the same velocity as the pion, the laboratory appears to be
rushing by at a speed of 2.737× 108m/s and the time between passing the first
and second markers, showing the creation and decay of the pion in the
laboratory, is 26.0ns. According to O2, the distance between the markers is
• D2 = (2.737 × 108m/s)(26.0 × 10−9s) = 7.11m.
• Once again, we have two observers in relative motion measuring different values
for the same interval, in this case the distance between the two markers in the
laboratory. The physical theories of Galileo and Newton are based on the
assumption that space is the same for all observers, and so length measurements
should not depend on relative motion. The pion experiment again shows that this
cornerstone of classical physics is not consistent with modern experimental data.
23. The failure of Classical Concept of Velocity
• Classical physics places no limit on the maximum velocity that a particle can reach. One of the
basic equations of kinematics,
• 푣 = 푣표 + 푎푡, (5)
• shows that if a particle experiences an acceleration a for a long enough time t, velocities as large
as desired can be achieved, perhaps even exceeding the speed of light.
• For another example, when an aircraft flying at a speed of 200 m/s relative to an observer on the
ground launches a missile at a speed of 250 m/s relative to the aircraft, a ground-based observer
would measure the missile to travel at a speed of 200 m/s + 250 m/s = 450 m/s, according to the
classical velocity addition rule (Eq. 4).
• We can apply that same reasoning to a spaceship moving at a speed of 2.0 × 108m/s (relative to
an observer on a space station), which fires a missile at a speed of 2.5 × 108m/s relative to the
spacecraft. We would expect that the observer on the space station would measure a speed of
4.5 × 108m/s for the missile. This speed exceeds the speed of light (3.0 × 108m/s).
• Allowing speeds greater than the speed of light leads to a number of conceptual and logical
difficulties, such as the reversal of the normal order of cause and effect for some observers.