Convert wavelength in millimetres to frequency for light, sound, water, or a custom wave speed, reverse to wavelength, and calculate period and wave number.
mm To Hz Formula
For electromagnetic waves in vacuum, the following formula calculates frequency in hertz from wavelength converted to meters. For another medium, use its phase speed v in place of c.
Variables:
- f is the frequency in hertz (Hz)
- c is the speed of light (299,792,458 meters per second)
- λ is the wavelength in meters (m), after converting from millimeters
To calculate the frequency in hertz, divide the speed of light by the wavelength in millimeters. Note that the speed of light is a constant value, and the wavelength must be converted from millimeters to meters (1 mm = 0.001 m) before performing the calculation.
| Wavelength (mm) | Frequency (GHz) | Frequency (Hz) |
|---|---|---|
| 0.5 | 599.585 | 599584916000 |
| 1 | 299.792 | 299792458000 |
| 1.25 | 239.834 | 239833966400 |
| 1.5 | 199.862 | 199861638667 |
| 2 | 149.896 | 149896229000 |
| 2.5 | 119.917 | 119916983200 |
| 3 | 99.931 | 99930819333 |
| 4 | 74.948 | 74948114500 |
| 5 | 59.958 | 59958491600 |
| 6 | 49.965 | 49965409667 |
| 7.5 | 39.972 | 39972327733 |
| 8 | 37.474 | 37474057250 |
| 9 | 33.310 | 33310273111 |
| 10 | 29.979 | 29979245800 |
| 12.5 | 23.983 | 23983396640 |
| 15 | 19.986 | 19986163867 |
| 20 | 14.990 | 14989622900 |
| 25 | 11.992 | 11991698320 |
| 50 | 5.996 | 5995849160 |
| 100 | 2.998 | 2997924580 |
| *Assumes electromagnetic waves in vacuum. Formula: f = c / λ, with λ in meters (1 mm = 1×10⁻³ m). 1 mm ≈ 299.792458 GHz. | ||
What Does “mm to Hz” Mean?
mm to Hz refers to the conversion from millimeters (mm), a unit of length, to hertz (Hz), a unit of frequency. This conversion is typically used in the context of electromagnetic waves, such as light or radio waves, where the wavelength of the wave (measured in millimeters) is inversely proportional to its frequency (measured in hertz). Therefore, a wave with a shorter wavelength will have a higher frequency, and vice versa.
How to Calculate mm To Hz?
The following steps outline how to calculate the mm To Hz using the formula: f = c / λ
- First, determine the wavelength in millimeters (λ).
- Next, determine the speed of light (c) in meters per second.
- Next, convert the wavelength to meters (1 mm = 0.001 m), then use f = c / λ to calculate frequency in hertz (Hz).
- Finally, calculate the mm To Hz.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
wavelength in millimeters (λ) = 10
speed of light (c) = 299,792,458 meters per second
