# Describe the relationship between wavelengths of light and energy

### Light: Electromagnetic waves, the electromagnetic spectrum and photons (article) | Khan Academy

Learn how frequency and wavelength of light are related in this article. Related to the energy and frequency is the wavelength, or the distance between. Microwaves or Green Light What is the relationship between wavelength and frequency? Light is a beam of packets of energy known as photons. Compare. It is an inverse relationship. Now shorter the wavelength, greater is the frequency of light also, which correlates directly with the energy of the photon. It all obeys.

If the beam from the eye travels infinitely fast this is not a problem. Despite being similar to later particle theories, Lucretius's views were not generally accepted. According to the Samkhya school, light is one of the five fundamental "subtle" elements tanmatra out of which emerge the gross elements. The atomicity of these elements is not specifically mentioned and it appears that they were actually taken to be continuous. The basic atoms are those of earth prthiviwater panifire agniand air vayu Light rays are taken to be a stream of high velocity of tejas fire atoms.

The particles of light can exhibit different characteristics depending on the speed and the arrangements of the tejas atoms. They viewed light as being an atomic entity equivalent to energy. Descartes arrived at this conclusion by analogy with the behaviour of sound waves. Descartes is not the first to use the mechanical analogies but because he clearly asserts that light is only a mechanical property of the luminous body and the transmitting medium, Descartes' theory of light is regarded as the start of modern physical optics.

Pierre Gassendi —an atomist, proposed a particle theory of light which was published posthumously in the s. Isaac Newton studied Gassendi's work at an early age, and preferred his view to Descartes' theory of the plenum.

He stated in his Hypothesis of Light of that light was composed of corpuscles particles of matter which were emitted in all directions from a source.

What Is The Relationship Between The Wavelength Of Light And The Energy Of A Photon?

One of Newton's arguments against the wave nature of light was that waves were known to bend around obstacles, while light travelled only in straight lines. He did, however, explain the phenomenon of the diffraction of light which had been observed by Francesco Grimaldi by allowing that a light particle could create a localised wave in the aether.

Newton's theory could be used to predict the reflection of light, but could only explain refraction by incorrectly assuming that light accelerated upon entering a denser medium because the gravitational pull was greater. Newton published the final version of his theory in his Opticks of His reputation helped the particle theory of light to hold sway during the 18th century. The particle theory of light led Laplace to argue that a body could be so massive that light could not escape from it.

In other words, it would become what is now called a black hole. Laplace withdrew his suggestion later, after a wave theory of light became firmly established as the model for light as has been explained, neither a particle or wave theory is fully correct.

A translation of Newton's essay on light appears in The large scale structure of space-time, by Stephen Hawking and George F. The fact that light could be polarized was for the first time qualitatively explained by Newton using the particle theory. Jean-Baptiste Biot in showed that this theory explained all known phenomena of light polarization.

At that time the polarization was considered as the proof of the particle theory.

## How are frequency and wavelength of light related?

Wave theory To explain the origin of colors, Robert Hooke developed a "pulse theory" and compared the spreading of light to that of waves in water in his work Micrographia "Observation IX".

In Hooke suggested that light's vibrations could be perpendicular to the direction of propagation. Christiaan Huygens worked out a mathematical wave theory of light inand published it in his Treatise on light in The Bohr model consists of four principles: Electrons assume only certain orbits around the nucleus.

These orbits are stable and called "stationary" orbits. Each orbit has an energy associated with it. For example the orbit closest to the nucleus has an energy E1, the next closest E2 and so on. Light is emitted when an electron jumps from a higher orbit to a lower orbit and absorbed when it jumps from a lower to higher orbit.

The energy and frequency of light emitted or absorbed is given by the difference between the two orbit energies, e.

### Light - Hydrogen Energy Levels - NAAP

Bohr also assumed that the electron can change from one allowed orbit to another: Energy must be absorbed for an electron to move to a higher state one with a higher n value Energy is emitted when the electron moves to an orbit of lower energy one with a lower n value The overall change in energy associated with "orbit jumping" is the difference in energy levels between the ending final and initial orbits: Where RH is called the Rydberg constant and has a value of The following information is provided to give the teacher some additional knowledge on the topic of light and color.

You can also choose to use this information with the students to do research on topics that you see mentioned here or use the question headings as a form of review for class discussion. This science background is organized to provide information as it relates to each of the lesson's four modules. What is the electromagnetic spectrum? The electromagnetic spectrum consists of all the different wavelengths of electromagnetic radiation, including light, radio waves and x-rays.

It is a continuum of wavelengths, from zero to infinity. We name regions of the spectrum rather arbitrarily, but the names give us a general sense of the energy; for example, ultraviolet light has shorter wavelengths than radio light. The only region in the entire electromagnetic spectrum that our eyes are sensitive to is the visible region.

This is the highest frequency and most energetic region of the electromagnetic spectrum. Gamma rays can result from nuclear reactions taking place in objects such as pulsars, quasars, and black holes. X-rays range in wavelength from 0. They are generated, for example, by superheated gas from exploding stars and quasars, where temperatures are near a million to ten million degrees.

Ultraviolet radiation has wavelengths of 10 - nm about the size of a virus. Young, hot stars produce a lot of ultraviolet light and bathe interstellar space with this energetic light.

Visible light covers the range of wavelengths from - nm from the size of a molecule to a protozoan. Our sun emits the most of its radiation in the visible range, which our eyes perceive as the colors of the rainbow.

Our eyes are sensitive only to this small portion of the electromagnetic spectrum. Infrared wavelengths span from nm - 1 mm from the width of a pinpoint to the size of small plant seeds. At a temperature of 37 degrees C, our bodies radiate with a peak intensity near nm. Radio waves are longer than 1 mm. Since these are the longest waves, they have the lowest energy and are associated with the lowest temperatures. Radio wavelengths are found everywhere: Radio stations use radio wavelengths of electromagnetic radiation to send signals that our radios then translate into sound.

These wavelengths are typically a few feet long in the FM band and up to yards or more in the AM band. Radio stations transmit electromagnetic radiation, not sound.

The radio station encodes a pattern on the electromagnetic radiation it transmits, and then our radios receive the electromagnetic radiation, decode the pattern and translate the pattern into sound.

New instrumentation and computer techniques of the late 20th century allow scientists to measure the universe in many regions of the electromagnetic spectrum. We build devices that are sensitive to the light that our eyes cannot see. Then, so that we can "see" these regions of the electromagnetic spectrum, computer image-processing techniques assign arbitrary color values to the light. What is a light wave?