Loading converter...
To convert the frequency of an electromagnetic wave to its wavelength, you divide the speed of light (c ≈ 299,792,458 m/s) by the frequency.
Example:
An FM radio station broadcasts at a frequency of 100 MHz (100,000,000 Hz). What is its wavelength?
Wavelength (λ) = c / f = 299,792,458 m/s / 100,000,000 Hz ≈ 3.00 meters
Answer: The wavelength of a 100 MHz radio signal is approximately 3 meters.
For any wave, frequency and wavelength are two fundamental properties that describe its nature. Frequency is the number of wave crests that pass a point in a given amount of time, measured in Hertz (Hz), or cycles per second. Wavelength is the spatial distance between two consecutive points of the same phase on a wave, such as two adjacent crests, measured in units of length like meters. For electromagnetic waves—a vast spectrum of energy that includes everything from radio waves and microwaves to visible light and gamma rays—these two properties are intrinsically and inversely linked. As one increases, the other must decrease.
This intimate relationship is governed by a fundamental constant of the universe: the speed of light (c). All electromagnetic waves travel at this constant speed in a vacuum. The simple but powerful equation c = λf (speed of light = wavelength × frequency) defines their connection. This calculator allows you to explore this relationship, instantly converting a given frequency into its corresponding wavelength, and vice versa. This tool is indispensable for physicists, astronomers, electrical engineers, and anyone working with the electromagnetic spectrum. It allows a radio engineer to determine the physical antenna length (wavelength) needed for a specific broadcast frequency, an astronomer to identify the type of star from the frequency of its emitted light, and a physicist to understand the energy of a photon based on its wavelength.
v = fλ (Wave Speed = Frequency × Wavelength). For electromagnetic waves in a vacuum, this becomes c = fλ.E = hf, where 'h' is Planck's constant.E = hc/λ. This shows that shorter wavelengths (and higher frequencies) correspond to higher energy photons.They are inversely proportional. As frequency increases, wavelength decreases, and vice versa. Their product is always equal to the speed of the wave (in this case, the speed of light, c).
No, this converter is specifically for electromagnetic waves (like light and radio) which travel at the speed of light. Sound waves are mechanical vibrations that travel much slower (around 343 m/s in air), so the conversion factor would be different.
Yes. According to the Planck-Einstein relation (E=hf), the energy of a photon is directly proportional to its frequency. This is why high-frequency radiation like ultraviolet (UV) light, X-rays, and gamma rays are 'ionizing' and can be harmful, while low-frequency radio waves are not.
Red is at the lower-frequency, longer-wavelength end of the visible spectrum. Its wavelength is typically around 620 to 750 nanometers (nm), which is 6.2 to 7.5 x 10⁻⁷ meters. Its frequency is around 400-480 Terahertz (THz).
Most Wi-Fi networks operate in two frequency bands: the 2.4 Gigahertz (GHz) band and the 5 GHz band. A 2.4 GHz signal has a longer wavelength (about 12.5 cm) which is better at penetrating walls, while a 5 GHz signal has a shorter wavelength (about 6 cm) which allows for faster data transfer but has a shorter range.
Heinrich Hertz was a 19th-century German physicist who conclusively proved the existence of the electromagnetic waves predicted by James Clerk Maxwell's theory of electromagnetism. His experiments were a landmark moment in science, paving the way for radio, television, and all wireless communication. The unit of frequency is named in his honor.