# What is the mathematical relationship between energy frequency and wavelength

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Wavelength-Frequency-Energy Problems #1 - 10 · Go to Part Two of Light Write a mathematical equation for the relationship between energy and wavelength. Each color of light we see has a particular frequency - Here, the key relationship is In fact, as with all mathematical letters it is just a label and any letter would. Describe the relationship between the speed of sound, its frequency, and its wavelength. Describe the effects on the speed of sound as it travels through various.

The prefix, photo- simply tells us that the electrons have been ejected from a metal surface by incident light. In this article, we will discuss how 19th century physicists attempted but failed!

### Speed, Frequency and Wavelength - How they are related, with examples

This ultimately led to the development of the modern description of electromagnetic radiation, which has both wave-like and particle-like properties. Predictions based on light as a wave To explain the photoelectric effect, 19th-century physicists theorized that the oscillating electric field of the incoming light wave was heating the electrons and causing them to vibrate, eventually freeing them from the metal surface.

This hypothesis was based on the assumption that light traveled purely as a wave through space.

See this article for more information about the basic properties of light. Scientists also believed that the energy of the light wave was proportional to its brightness, which is related to the wave's amplitude. In order to test their hypotheses, they performed experiments to look at the effect of light amplitude and frequency on the rate of electron ejection, as well as the kinetic energy of the photoelectrons.

## What is the relationship between wavelength, frequency, and energy of a photon?

Based on the classical description of light as a wave, they made the following predictions: The kinetic energy of emitted photoelectrons should increase with the light amplitude.

The rate of electron emission, which is proportional to the measured electric current, should increase as the light frequency is increased. Let's say we have a radio with a dial that is only marked in MHz.

This is a measurement of frequency and we note that 1 MHz is the same as 1 million hertz the M in MHz stands for " mega ", which means million. We are told of a radio broadcast we want to hear but we are only given the wavelength of the station and not the frequency.

The wavelength we are given is 3. We know the speed of light and we know the wavelength so it's now an easy matter to plug these numbers into the equation and find the frequency of the radio station: This gives us a frequency of 92 MHz, which is found in the FM range of most domestic radios. Visible Light The wavelengths of visible light are measured in nanometres, nm billionths of a metre but the equation works just the same. When we look at a light source the colours we see are dictated by the frequency of the light.

## Frequency, Wavelength and Energy

These frequencies are very high by everyday standards. Have a look around the room and find something that's the colour red. How many times are the tiny crests of the light waves coming from that red object passing through the front of your eyes every second? Frequency is a wave-based idea.

**Relationship between wavelength and frequency**

What is it doing in a particle-based idea like the quantum? So much so that the term "wave packet" is often used in discussing these ideas. Indeed, modern science now speaks of "wave-particle duality" rather than "Light is a wave" or "Light is a particle. Albert Einstein and Niels Bohr who were great friends discussed these issues and more often over a period of many years, especially in the late 's and early 's.

Their discussions are still important enough to merit historical study today. Every year, several books are published which delve into one or more of the implications of "wave-particle duality.

As one value say the wavelength goes up, the other value the frequency must go down. Because the product of the two must always equal the same value, c, which is a constant. As the frequency increases, so does E. Because h remains constant.