Frequency to Wavelength Converter — Hz, kHz, MHz, GHz
Convert frequency between different units including hertz, kilohertz, megahertz, gigahertz, terahertz, and more. Also calculates the corresponding electromagnetic wavelength. Essential for RF engineering, telecommunications, and physics. See also our Sound Converter and Light Intensity Converter.
Value:
Wavelength Calculation (c = 299,792,458 m/s):
wavelength = c / f
How to Convert Frequency
- Enter the frequency value in the input field above.
- Select the unit you are converting from in the "From" dropdown menu.
- Select the unit you want to convert to in the "To" dropdown menu.
- The result will automatically appear in the result field.
- The corresponding electromagnetic wavelength is also calculated below the result.
- Click any conversion in the list below to quickly select those units.
Frequency to Wavelength Formula
Frequency-Wavelength Relationship:
λ = c / f
Where:
λ = Wavelength (m)
c = Speed of light = 299,792,458 m/s
f = Frequency (Hz)
Frequency Unit Relationships:
1 kHz = 1,000 Hz = 10³ Hz
1 MHz = 1,000,000 Hz = 10⁶ Hz
1 GHz = 1,000,000,000 Hz = 10⁹ Hz
1 THz = 10¹² Hz
1 PHz = 10¹⁵ Hz
Angular Frequency:
ω = 2πf (rad/s)
f = ω / (2π) Hz
1 rad/s ≈ 0.159155 Hz
Rotational:
1 rpm = 1/60 Hz
1 Hz = 60 rpmExample Conversion
Problem: Convert 2.4 GHz to MHz and find its wavelength.
Given: f = 2.4 GHz
Solution:
• To MHz: 2.4 GHz × 1000 MHz/GHz = 2400 MHz
• Wavelength: λ = c/f = 299,792,458 / (2.4 × 10⁹) = 0.1249 m = 12.49 cm
Answer: 2.4 GHz = 2400 MHz, wavelength = 12.49 cm (Wi-Fi frequency)
Technical Details
Frequency measures the number of cycles or oscillations per unit time. The hertz (Hz) is the SI unit, equal to one cycle per second. Frequency and wavelength are inversely related through the speed of light for electromagnetic waves: as frequency increases, wavelength decreases. This relationship is fundamental to radio engineering, optics, and quantum physics.
The electromagnetic spectrum spans from extremely low frequencies (ELF, 3-30 Hz, wavelength ~10,000 km) to gamma rays (above 30 EHz, wavelength below 10 pm). Radio frequencies (3 kHz to 300 GHz) are used for communications, while infrared (300 GHz to 400 THz), visible light (400-790 THz), and ultraviolet (790 THz to 30 PHz) have progressively shorter wavelengths and higher photon energies.
Frequency & Wavelength Reference Table
| Application | Frequency | Wavelength |
|---|---|---|
| AM Radio | 530-1700 kHz | 176-566 m |
| FM Radio | 88-108 MHz | 2.78-3.41 m |
| Wi-Fi 2.4 GHz | 2.4 GHz | 12.5 cm |
| Wi-Fi 5 GHz | 5 GHz | 6 cm |
| 5G mmWave | 24-47 GHz | 6.4-12.5 mm |
| Microwave oven | 2.45 GHz | 12.2 cm |
| Visible light (red) | 400 THz | 750 nm |
| Visible light (violet) | 790 THz | 380 nm |
Frequently Asked Questions
How do you convert frequency to wavelength?
Divide the speed of light (299,792,458 m/s) by the frequency in Hz. For example, 100 MHz = 10⁸ Hz gives wavelength = 299,792,458 / 10⁸ = 2.998 m. For non-electromagnetic waves (sound), use the appropriate wave speed instead.
What is the difference between Hz and rpm?
Hertz measures cycles per second, while rpm (revolutions per minute) measures rotations per minute. To convert: 1 Hz = 60 rpm, or 1 rpm = 1/60 Hz. Both measure periodic phenomena but on different time scales.
What is angular frequency (rad/s)?
Angular frequency (ω) measures rotation rate in radians per second. It relates to regular frequency by ω = 2πf. One complete cycle = 2π radians, so 1 Hz = 2π ≈ 6.2832 rad/s, and 1 rad/s ≈ 0.159155 Hz.
Why is the speed of light used for wavelength calculation?
The speed of light (c = 299,792,458 m/s) is used because electromagnetic waves travel at this speed in vacuum. For waves in other media (sound in air at ~343 m/s, light in glass at ~2×10⁸ m/s), use the appropriate propagation speed.
What frequency range is visible light?
Visible light spans approximately 400-790 THz (terahertz), corresponding to wavelengths of 380-750 nm. Red light is at the low-frequency end (~400 THz, 750 nm) and violet at the high-frequency end (~790 THz, 380 nm).
Objective of Measurement:
Measurement is the most important aspect of our life. We use measurement in science, engineering, business trading, personal life, education, and more other fields. As technology is growing day by day so we need a highly accurate and easy convenient global measuring system in each and every field. It is essential to use standard measurement in every field that everyone to be sure that they not get cheated.
History of Measurement:
In history for measurement people used the human body as a tool. For measuring length used forearm, hand, foot & finger as a unit. The foot, finger is a subdivided shorter unit of a length. This type of measurement is not accurate cause different in size of the arm & finger for different people & some of the countries still using it. In history, there were lots of measuring systems developed but mostly used imperial, the metric system of measurement. We use these systems for measure distances, volume, weight, speed, area etc. Due to this a major problem everyone is facing while doing trading between the countries. A huge improvement in civilization, It necessary to improve measuring standards. Nowadays International Standard (SI) units are used as a global measurement system.
Frequency Conversion - Unit Converter:
Our frequency conversion converter convert hertz [Hz], kilohertz [kHz], megahertz [MHz], gigahertz [GHz], terahertz [THz], millihertz [mHz], microhertz [μHz], rpm [rev/min], radian/second [rad/s], cycle/second [cps], petahertz [PHz] vice versa with metric conversion.
Frequency conversions & its abbreviations
| Unit | Abbreviation | Unit | Abbreviation |
|---|---|---|---|
| hertz | Hz | kilohertz | kHz |
| megahertz | MHz | gigahertz | GHz |
| terahertz | THz | millihertz | mHz |
| microhertz | μHz | rpm | rpm |
| radian/second | rad/s | cycle/second | cps |
| petahertz | PHz |
Complete list of Frequency conversion units and its conversion.
1 kilohertz [kHz] = 1000 hertz [Hz]
1 megahertz [MHz] = 1000 kilohertz [kHz]
1 gigahertz [GHz] = 1000 megahertz [MHz]
1 terahertz [THz] = 1000 gigahertz [GHz]
1 hertz [Hz] = 60 rpm [rev/min]
1 hertz [Hz] = 6.2832 radian/second [rad/s]
1 hertz [Hz] = 1 cycle/second [cps]
1 petahertz [PHz] = 1000 terahertz [THz]