# What is the relationship between photon energy and wavelength?

Table of Contents

- 1 What is the relationship between photon energy and wavelength?
- 2 What is the formula for the energy of a photon?
- 3 How does Planck’s equation relate the frequency of a photon?
- 4 What is the power of a short wavelength light source?
- 5 How do you find the energy of the emitted photon?
- 6 How do atoms conserve energy by emitting photons?

## What is the relationship between photon energy and wavelength?

Photon Energy and Wavelength. The energy of light (or photon energy), E, is inversely proportional to the wavelength by the equation: E = hc/ l (equation 1) where h is Planck’s constant (6.6261 x 10 -34 J*s) and c is the speed of light (2.9979 x 10 8 m/s).

## What is the formula for the energy of a photon?

E = h * c / λ = h * f, where. E is the energy of a photon. h is the Planck constant, c is the speed of light, λ is the wavelength of a photon,

## How does Planck’s equation relate the frequency of a photon?

The Planck’s equation relates the frequency of a photon to its energy through a Planck constant h equal to The Planck constant is in the units (energy)* (time) and you can think of it as a conversion factor from energies to frequencies. f is the frequency of a photon.

## What is the power of a short wavelength light source?

The power of short wavelength light sources in the EUV to X-ray range are often expressed as photon flux ( F) in the units of photons per second (ph/s). Average power is related to flux and photon energy by: For any given flux and wavelength (in nm), equation 5 can be used to calculate the corresponding average power (in m W).

## How do you find the energy of the emitted photon?

In the hydrogen atom, with Z = 1, the energy of the emitted photon can be found using: E = (13.6 eV) [1/n f2 – 1/n i2 ] Atoms can also absorb photons. If a photon with an energy equal to the energy difference between two levels is incident on an atom, the photon can be absorbed, raising the electron up to the higher level.

## How do atoms conserve energy by emitting photons?

To conserve energy, a photon with an energy equal to the energy difference between the states will be emitted by the atom. Consider the photon emitted when an electron drops from the n=4 to the n=2 state to the photon emitted when an electron drops from n=3 to n=2.