0
The amount of energy is inversely related to the wavelength of the radiation: the shorter the wavelength, the greater the energy of each photon.
This was originally discovered by Max Planck who identified a co-effiecient of proportionality that related a photon's energy to its frequency. This co-effiecient is known as the Planck constant and allows the energy of a photon to be found using the following relation (known as the Planck relation or the Planck-Einstein equation):
E = hv (Eq. 1)
Where:
E = Energy (J)
h = Planck constant (6.62606896×10−34 Js)
v = frequency (Hz).
For electromagnetic radiation travelling through a vacuum:
v = c / λ(Eq. 2)
Where:
c = speed of light in a vacuum
λ = wavelength (m)
As such this can be substituted into the Planck relation to give the following: E = hc / λ(Eq. 3)
From equations 1 and 3 it can be seen that a photon's energy is directly proportional to it's frequency and inversely proportional to its wavelength.
What else can I help you with?
What is the relationship between the light bulb wavelength and its energy efficiency?
The relationship between the wavelength of light emitted by a light bulb and its energy efficiency is that shorter wavelengths, such as blue light, are more energy efficient than longer wavelengths, such as red light. This is because shorter wavelengths carry more energy per photon, allowing for more efficient conversion of electricity into light.
What is the relationship between wave length and energy on the electromagnetic spectrum?
The relationship between electromagnetic energy (photon energy) and wavelength is determined by two constants - the speed of light and Planck's constant. Photon energy (in Joules) is equal to the speed of light (in metres per second) multiplied by Plancks constant (in Joule-seconds) divided by the wavelength (in metres). E = hc/wavelength where: E is photon energy h is Planck's constant = 6.626 x 10-34 Js c is the speed of light = 2.998 x 108 m/s This relationship shows that short wavelengths (e.g. X-rays) have high photon energies while long wavelengths (e.g. Radio waves) have low photon energies.
What is the relationship between the wavelength of light and the quantity of energy per photon?
inversely related
What is the relationship between the wavelength of microwaves and their ability to penetrate different materials?
The relationship between the wavelength of microwaves and their ability to penetrate different materials is that shorter wavelengths can penetrate materials more effectively than longer wavelengths. This is because shorter wavelengths have higher energy levels, allowing them to pass through materials with less resistance. Conversely, longer wavelengths are less able to penetrate materials due to their lower energy levels.
Infrared radiation How can the relationship between wavelength and energy be described?
The relationship between wavelength and energy in infrared radiation can be described by the inverse relationship known as Wien's displacement law. This law states that as the wavelength of infrared radiation increases, its energy decreases, and vice versa. In other words, longer wavelengths correspond to lower energy, and shorter wavelengths correspond to higher energy.
What is the relationship between wavelength of light and the energy of light?
The energy in one photon of any electromagnetic radiation is directly proportionalto its frequency, so that would be inversely proportional to its wavelength.Note: There is no energy in the protons of light, since light has no protons.
What is the relationship between wavelength and the penetrating power of an electromagnetic wave?
Shorter wavelengths have higher energy and greater penetrating power in electromagnetic waves. This is why X-rays, with shorter wavelengths, can penetrate tissues more effectively than radio waves, which have longer wavelengths.
What is the relationship between microwaves and wavelength?
Microwaves are a type of electromagnetic radiation that have longer wavelengths compared to visible light. The relationship between microwaves and wavelength is that microwaves have wavelengths ranging from about 1 millimeter to 1 meter, which is longer than the wavelengths of visible light.
How is wavelength related to energy?
The relationship between wavelength and energy depends on the type of wave. For electromagnetic waves, the shorter wavelengths are associated with higher energy levels. Electromagnetic energy travels in waves, and the length of the wave is inversely proportional to the energy the wave carries. Higher energy, shorter wavelengths. Lower energy, longer wavelengths.
What is the relationship between wavelength and hue, and how does it compare to the relationship between brightness and which other attribute?
The relationship between wavelength and hue is that shorter wavelengths correspond to cooler colors like blue and longer wavelengths correspond to warmer colors like red. This relationship is similar to the relationship between brightness and intensity, where higher brightness levels correspond to higher intensity levels.
How does the amount energy affect the size of the wavelength?
As energy increases, the wavelength decreases. This is described by the inverse relationship between energy and wavelength in electromagnetic waves. Higher energy corresponds to shorter wavelengths, and vice versa.
What is the relationship between CMB photon energy and the cosmic microwave background radiation?
The relationship between CMB photon energy and the cosmic microwave background radiation is that the CMB radiation consists of photons with a specific energy corresponding to the temperature of the universe at the time of decoupling, which is around 2.7 Kelvin. The energy of these photons is directly related to their wavelength, with higher energy photons having shorter wavelengths and vice versa.
