Derivation for Kramers - Heisenberg Dispersion Formula in Wave Mechanics?
A basic derivation can be found here: http://books.google.com/books?id=rpbdozIZt3sC&pg=PA128&lpg=PA128&dq=kramers+heisenberg+dispersion+formula&sour
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Transverse waves. In these waves, particles in the medium vibrate perpendicular to the direction of wave travel, causing energy to be transferred at right angles to the wave motion. Examples include electromagnetic waves and ripples on water.
What do crests and troughs have in common?
Crests and troughs are both characteristic features of waves. A crest is the point on a wave with the maximum positive amplitude, while a trough is the point with the maximum negative amplitude. Together, they represent the maximum and minimum points of a wave's oscillation.
What pollution is produced by a wave power station?
Wave power stations produce minimal pollution compared to traditional fossil fuel power plants. However, they can have some environmental impacts such as disturbance to marine ecosystems by altering water flow and affecting marine life. Additionally, the construction and maintenance of wave power stations can create noise pollution and produce carbon emissions from the use of construction materials and equipment.
What kind of wave is used to find a broken bone or illegal plane carry on?
X-rays are used to find a broken bone or illegal carry-on items in luggage at airports. X-rays are a type of electromagnetic wave that can pass through soft tissues like skin but are absorbed by dense materials like bone or certain prohibited items, creating an image that can be examined to detect any abnormalities.
How is the wave length of a wave related to the amount of energy transferred by the wave?
The shorter the wavelength of a wave, the higher the frequency of the wave, thus more energy is transferred by the wave. This relationship is described by the equation E=hf, where E is energy, h is Planck's constant, and f is frequency.
Who discovered ocean wave energy?
Ocean wave energy has been known and utilized for centuries, but its formal discovery and exploration as a potential renewable energy source can be attributed to researchers and engineers in the mid-20th century. Specific individuals who have contributed to the development and understanding of ocean wave energy include Stephen Salter, John Armstrong, and Yoshio Masuda.
What do electromagnetic waves and mechanical waves have in common?
Both types of waves are forms of energy that transfer without the transfer of matter. They both involve oscillations or vibrations, but electromagnetic waves do not require a medium for propagation, while mechanical waves do.
Which wave in the ocean has more energy a small wave or a large wave?
A larger wave typically contains more energy than a smaller wave. This is because larger waves have greater amplitude and move more water as they crest and break, resulting in more energy transfer.
What type of wave is not a mechanical wave?
Mechanical waves require a medium to travel through. Examples of mechanical waves are sound waves, water waves, a vibrating string. (See related link).
Electromagnetic waves (such as light, radio waves, X-rays, microwaves) do not need a medium to travel through, so these are not mechanical waves.
Certain phenomena in quantum mechanics exhibit wavelike behavior, and also does not require any medium to travel.
An example of a wave that is not a mechanical wave is a light wave. A mechanical wave is a wave that needs a medium to travel through. Light can travel in space, where there is no medium (no air)
How does energy transfer by waves differ from energy transfer by a moving object?
In energy Transfer by waves, the energy moves through the the medium, for example the water, but isn't carrying the water with it. In energy transfer by a moving object the energy is traveling by means of an object. So, energy transfer by waves can be pictured as a person (the energy) swimming through water (the medium) and energy transfer through an object can be pictured as a person (the energy) riding a bicycle (the object) In the first case the energy itself is moving through a medium, where in the second case the energy is using its power to move by use of an object.
Hope this helps you understand!
What is the source of energy that creates a wave from a rope?
The source of energy that creates a wave in a rope is typically mechanical energy from a force applied to one end of the rope. This force causes the particles in the rope to move in a rhythmic pattern, passing the energy along the rope in the form of a wave.
What is the opposite of a mechanical wave?
The opposite of a mechanical wave is an electromagnetic wave. Electromagnetic waves do not require a medium to travel through, unlike mechanical waves which require a medium, such as air or water, to propagate. Examples of electromagnetic waves include light, radio waves, and X-rays.
How much energy does wave energy produce?
Wave energy has the potential to produce a significant amount of energy, with estimates suggesting it could contribute to a substantial portion of global energy needs. The exact amount of energy produced depends on factors such as wave intensity, local geography, and technology efficiency. With advancements in wave energy technology, its energy production capacity is expected to increase in the future.
How is mechanical waves different from other waves?
There are basically two types of waves;mechanical and electromagnetic waves.Mechanical waves are waves that require a material medium for their peopagation e.g sound waves, water waves e.t.c.On the other hand, electromagnetic waves are waves that do not require a material medium for its propagation e.g light waves, gamma rays.As indicated from the above definitions, the main difference between mechanical waves and other waves(electromagnetic waves) is is that sound waves require a material for its propagation while the latter does not.
Wave power has the potential to be efficient for generating electricity, as it relies on the consistent energy of ocean waves. However, the technology is still in the early stages of development and faces challenges such as high initial costs, maintenance in harsh marine environments, and potential environmental impacts. Research and advancements are ongoing to improve the efficiency and viability of wave power as a renewable energy source.
What do mechanical waves need to propagate?
Mechanical waves badly need a material medium to get propagated. For example sound waves need air, water or solid medium to pass through. But light though it is a wave, it could pass through even through vacuum. Hence it is not a mechanical wave. But it is proved to be an electromagnetic wave. Present science has accepted even free space ie vacuum to be a medium but it is non-material medium.
Will wave energy be worth your money?
Wave energy has the potential to be a valuable renewable energy source, offering reliable power generation with minimal environmental impact. However, the technology is still in the early stages of development, which may impact its cost-effectiveness compared to other established energy sources. It may be worth investing in for the long term benefits of clean energy production.
What are the disadvantages of electromagnetic energy?
Some disadvantages of electromagnetic energy include potential health risks from exposure to electromagnetic fields, interference with electronic devices, and environmental impacts from electromagnetic radiation. Additionally, generating electromagnetic energy can require significant resources and infrastructure.
What is the future of wave power?
Wave power may have some limited future where the oceans are very suitable and other forms of renewable energy are not possible. However, solar power can work better and more cheaply almost everywhere, and wind is often more appropriate when solar is not.
Make a sentence with the word insoluble?
The problem isn't insoluble; I'm sure we can find a solution eventually.
These markers are insoluble; be careful not to get them on your clothes.
Which type of electromagnetic wave is most dangerous to people?
The gamma waves. They are those that have the highest frequency (10^20 Hz and higher).
Just below are the X rays (not so good when you're exposed to them alot), then the untraviolet rays (hence the solar cream), then the visible light (from purple to red).
Under that you have Infrareds and radio waves.
What are some examples of energy transfers by waves and their sources?
What are the machines that use wave energy?
The machines that use wave energy fit mostly in two categories; one which resembles a buoy and the other a sideways door with its hinges being on the sea-bed.
The buoys are vertically oscillating columns that float on the surface of the water. The regular oscillation of the ocean tides causes the buoys to bob up-and-down which drive a piston which turns an electrical generator producing electricity.
The other things can be viewed as a door hinged to the sea bed, and swings with the back-and-forth movement of ocean water. The oscillations again drive a piston which powers the generator.
Examples of each:
AquaBuOY - http://www.finavera.com/en/wavetech
WaveRoller - http://www.aw-energy.com/