# Wavelength and energy of light relationship

### Wavelegnth, Frequency and Energy Calculations

When it comes to light waves, violet is the highest energy color and red is the lowest energy color. Related to the energy and frequency is the wavelength, or the. c = × m/s. 1 m = 1 × nm. 1 kJ = J example. Light with a wavelength of nm is green. Calculate the energy in joules for a green light photon. The energy associated with a single photon is given by E = h ν, where E is the Note that as the wavelength of light gets shorter, the energy of the photon gets.

## Photon energy

It is well-known who first wrote this equation and when it happened. Max Planck is credited with the discovery of the "quantum," the discovery of which took place in December It was he who first wrote the equation above in his announcement of the discovery of the quantum. When discussing electromagnetic quanta of which light is only one example, x-rays and radio waves being two other examplesthe word photon is used. A photon the word is due to Albert Einstein is a quantum of electromagnetic energy.

### Two Light Equations: Part Two - E = hν

The word quantum quanta is the plural is usually used in a more general sense, to describe various ideas of quantum theory or even, as I just did, to describe the entire theory itself. By the way, the discovery of the quantum had, and continues to have, many profound effects.

Enough so that all of science especially physics before is refered to as "classical" and the science since is called "modern. It is not a division, both Joule and second are in the numerator. The discussion about frequency in part one applies here.

Before going on, I want to discuss one point. If a single large wave were to shake the dock, we would expect the energy from the big wave would send the beach balls flying off the dock with much more kinetic energy compared to a single, small wave.

### How does energy relate to wavelength and frequency? | Socratic

This is also what physicists believed would happen if the light intensity was increased. Light amplitude was expected to be proportional to the light energy, so higher amplitude light was predicted to result in photoelectrons with more kinetic energy. Classical physicists also predicted that increasing the frequency of light waves at a constant amplitude would increase the rate of electrons being ejected, and thus increase the measured electric current.

Using our beach ball analogy, we would expect waves hitting the dock more frequently would result in more beach balls being knocked off the dock compared to the same sized waves hitting the dock less often. Now that we know what physicists thought would happen, let's look at what they actually observed experimentally!

When experiments were performed to look at the effect of light amplitude and frequency, the following results were observed: The kinetic energy of photoelectrons increases with light frequency. Electric current remains constant as light frequency increases. Electric current increases with light amplitude.

The energy of the outgoing electrons depended on the frequency of light used. The energy E of the incoming photons is directly proportional to the light frequency which can be written as, 2 in which h is a constant. Max Planck first proposed this relationship between energy and frequency in as part of his study of the way in which heated solids emit radiation.

For photons, the property most readily measured is their energy. The different colors of light for example, are thought of as representing photons of different energy. The link between the particle theory and the wave theory lies in Planck's fundamental postulate of quantum theory given by equation 2.

## Frequency, Wavelength and Energy

There is an inverse relation between the energy E, of the photon and the wavelength, 3 The energy E in equation 3 can be expressed in many units. In the analysis of art and in the description of light, the most convenient unit of energy to use is the electron volt, abbreviated eV. In terms of wavelength,in nanometers nmand energy Ein electronvolts evequation 3 can be expressed for light travelling in a vacuum as: The constants and numerical relations found in equations 3 and 4 are found from Planck's equation Eqn.

Visible light is composed of photons in the energy range of around 2 to 3 eV. Orange light with a wave length of nanometers is composed of photons with energy of 2 eV. It is the energy range of 2 to 3 eV which triggers the photo receptors in the eye. Lower energies longer wavelengths are not detected by the human eye but can be detected by special semiconductor infared sensors.