# Algebraic relationship between wavelength and frequency

### Frequency and Wavelength, Frequency and Wavelength Relationship | [email protected] Wavelength-Frequency-Energy Problems #1 - 10 · Go to Part Two of Light Write a mathematical equation for the relationship between energy and wavelength. The wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a. Concept check: As the wavelength of a photon increases, what happens to the The relationship between photoelectron kinetic energy and light frequency is.

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. I left a couple guard digits in the answer.

## Waves, Sound and Light: Wave Basics

Also, notice that the wavelength is not in scientific notation. This is because I made a silent conversion from nm to m. I didn't bother to convert it because it wasn't needed. What is the energy of a photon of green light with a frequency of 5. If you wish to, you may calculate this for yourself. The wavelength range of visible light is taken to be from nm to nm. Again this is just a label, or shorthand, in order to allow us to work quickly with the equation.

Wavelengths are usually measured in metres.

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Providing we know any two of the three quantities we can find the other one, either directly or by rearranging the equation. The next section solves the equation as it is, and there is a calculator for frequency, wavelength and speed here.

Solving the Equation In this example we will consider the frequency of radio waves. Radio waves are just another form of "light", i. Let's say we have a radio with a dial that is only marked in MHz.

• Photoelectric effect
• Frequency and Wavelength
• What is the mathematical relationship between wavelength and frequency?

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: 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.

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.

How to Convert Frequency to Wavelength

To help us understand why they made these predictions, we can compare a light wave to a water wave. Imagine some beach balls sitting on a dock that extends out into the ocean. The dock represents a metal surface, the beach balls represent electrons, and the ocean waves represent light waves. 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.

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. 