# Wavelength to Frequency Calculator

Created by Komal Rafay
Reviewed by Davide Borchia
Last updated: Jan 03, 2023

If you are a curious physics enthusiast, then our wavelength to frequency calculator is your tool. Even if you aren't, you will find exciting information about frequencies and wavelengths. And we'll also help you understand how to calculate the wavelength of any frequency.

## What is wavelength and frequency?

A wavelength is the distance between adjacent crusts or adjacent troughs. It is the distance in which a wave completes its shape. As it measures the distance, its SI unit is meter.

Frequency is the measure of the number of waves per unit of time. Its SI unit is hertz (Hz). A wave with a high frequency has more energy, and a low-frequency wave has lower energy when measured at the same amplitude.

## Wavelength to Frequency Calculator

Our wavelength to frequency calculator is a time and energy-efficient tool that determines the frequency of a wave based on the wavelength. But that is not all; you can also input the frequency and estimate the wavelength. And if you still want more, we have got you covered because the calculator provides a list of wave velocities in different mediums, with the option to input a custom value for the velocity.

1. Look through the list of presets to locate your required wave and medium.
2. Selecting it will display its speed/velocity in the wave velocity section.
3. Input the wavelength in a unit of your choice.
4. The result is the frequency of the wave in Hz. You may select any unit to get your result.
5. If you want to enter a custom wave velocity, skip the selection of medium, and input the wave velocity directly.

For instance, the wave velocity is $89 \text { m/s}$, and the wavelength is $8 \text { m}$, then the frequency is $11.125 \text { Hz}$.

We also have a tool that determines a photon's energy based on its wavelength. Maybe you would like to check it out. It is wavelength to energy calculator.

## How to calculate wavelength of a frequency?

If you are wondering,

• How to calculate the wavelength of a frequency? or
• How to calculate the frequency from wavelength?

Worry not, the formula is fairly simple. And you may be able to do it at your fingertips, but you don't really have to, our tool is here to rescue you. But let's still discuss the formula to enhance our knowledge.

$\lambda = v/f$

where:

• $\lambda$ = wavelength;
• $v$ = wave velocity; and
• $f$ = frequency.

This calculates the wavelength if you know the frequency and wave velocity. You may rearrange this formula to calculate the frequency from the wavelength.

$f = v/\lambda$

Let's look at an example.
Say the speed of sound in glass is $4540 \text { m/s}$, and the wavelength is $20 \text { m}$.
Place these values in the formula:

$f = \frac{4540\ \text{m/s}}{20\ \text{m}} = 227\ \text{Hz}$

## More about frequency and wavelength!

The wavelength of waves is interesting to know about, so these calculators might tickle your fancy.

## FAQ

### How can I calculate frequency from wavelength?

The formula to calculate the wavelength of a wave is:
λ = v/f

where:

• λ = wavelength;
• v= wave velocity; and
• f = frequency.

You can rearrange this formula to calculate the frequency, given the wavelength of a wave.
f = v/λ

1. Verify the speed of the wave.
2. Divide it by the wavelength of the wave.
3. The result is the frequency of the wave.

### What is the frequency of sound in air?

The audible frequency of sound in air ranges from 20 Hz to 20 kHz. It means any sound with a frequency in this range can be heard by our ears and is called audible sound. The speed of sound in air is 345 m/s, which varies slightly with temperature. Based on these values, the wavelength of audible sound is 0.01725 meters.

### What is the wavelength of light?

The wavelength of light is 740 nm (nanometers) or 7.4 ×10-7 m (meters). You can use this value to determine the frequency of the light as well.
We already know the speed of light in air is 3×108 m/s.
Placing these values in the formula:

f = v/λ

where:

• λ = wavelength;
• v = wave velocity; and
• f = frequency.

we have:

f = 3×108 / 7.4×10-7

f = 4.05×1014 Hz
Amazing, isn't it, so many waves in just one second. This is why we see light immediately without any delays.

Komal Rafay
Preset (optional)
light in vacuum
Wave velocity
m/s
Wavelength (λ)
m
Wave frequency
Hz
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