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Wavelength and Frequency Calculator

Convert between the wavelength and frequency of an electromagnetic wave in free space using the speed of light, c = lambda x f.

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Wavelength (metres)
2.998
Frequency (MHz)100
verifiedLast verified 2026-06-11Tax/benefit year 2026Rules v1.0.0

Official sources

Disclaimer: For educational use. This uses the speed of light in a vacuum; waves travel slower in glass, water, or cable, so the wavelength inside a medium is shorter.

Frequently Asked Questions

What is the relationship between wavelength and frequency?expand_more

They multiply to the wave's speed: c = wavelength x frequency. In free space that speed is the speed of light, so higher frequency means shorter wavelength.

What units does this calculator use?expand_more

Frequency in megahertz and wavelength in metres. Convert gigahertz or kilohertz, and centimetres or millimetres, before entering them.

Why is the wavelength shorter inside a cable?expand_more

Waves travel slower than the speed of light in any material. The wavelength inside is the free-space value multiplied by the medium's velocity factor.

How long should my antenna be?expand_more

Antennas are sized as a fraction of a wavelength, commonly a half or a quarter. Use the wavelength here as a guide, then account for velocity factor and trim to tune.

Does this work for visible light?expand_more

Yes. Visible light is electromagnetic, so the same formula applies, though its frequencies are far higher and wavelengths far shorter, measured in nanometres.

Can I use it for sound waves?expand_more

No. Sound travels far slower and at a speed that depends on the medium and temperature, so it needs a different speed value, not the speed of light.

What is the speed of light used here?expand_more

About 299,792,458 metres per second, the speed of electromagnetic waves in a vacuum, which is also very close to their speed in air.

Why do higher frequencies have shorter wavelengths?expand_more

Because their product is fixed at the speed of light. If one goes up, the other must come down to keep the product constant.

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What this calculator does

Convert between the wavelength and frequency of an electromagnetic wave in free space using the speed of light, c = lambda x f.

Who it is for

This wavelength and frequency calculator is for radio amateurs, RF and antenna designers, physics students, and anyone working with light or electromagnetic waves. If you need the wavelength of a radio frequency to cut an antenna to length, or the frequency that matches a known wavelength, this tool converts between the two instantly using the speed of light. It suits homework on the electromagnetic spectrum just as well as a quick check on the bench.

How it works

Every electromagnetic wave in free space travels at the speed of light, about 299,792,458 metres per second. Wavelength and frequency are tied together by that speed: c = wavelength x frequency. So a higher frequency means a shorter wavelength, and the other way around. The calculator lets you pick which one you know. Enter a frequency in megahertz and it returns the wavelength in metres by dividing the speed of light by the frequency; enter a wavelength in metres and it returns the frequency. Because the speed of light is a constant, the conversion is exact for waves travelling through a vacuum or, very nearly, through air.

Example calculation

FM radio around 100 megahertz is a familiar case. Dividing the speed of light by 100 megahertz gives a wavelength of about 3 metres, which is why FM antennas are sized in metres rather than centimetres. Going the other way, a 2 metre wavelength - the name of a popular amateur radio band - corresponds to a frequency of about 150 megahertz. Shorter wavelengths mean higher frequencies: a microwave oven near 2,450 megahertz has a wavelength of only about 12 centimetres.

Regional variations

The physics is identical worldwide, but the radio bands allocated to each use are not. The exact frequencies set aside for FM broadcast, amateur radio, Wi-Fi, and mobile networks are decided by national and regional regulators, so a band that is legal to transmit on in one country may be restricted in another. This calculator gives the pure physics relationship; always check your local spectrum rules before transmitting. Note too that waves slow down in materials like glass, water, or coaxial cable, so the wavelength inside a medium is shorter than the free-space figure shown here.

Common mistakes to avoid

  • Forgetting the units. This tool uses megahertz and metres; mixing in hertz or centimetres without converting gives answers off by large factors.
  • Applying the free-space result inside a cable or material. Signals travel slower there, so the real wavelength is shorter by the velocity factor.
  • Confusing wavelength with antenna length. Practical antennas are often a half or a quarter of a wavelength, not a full one.
  • Assuming the speed of light applies to sound. Sound is a mechanical wave with a completely different, much slower speed; this formula is only for electromagnetic waves.
  • Rounding the speed of light too aggressively for precise RF work, where small differences shift the result.

Deadlines

There are no deadlines here, but there is a practical caution: before transmitting on any frequency, confirm it is allocated for your use and that you hold any license your country requires. Antennas cut from a wavelength should account for the velocity factor of the wire or element and for end effects, so treat the calculated wavelength as the starting point and trim to tune. For coaxial cable and waveguides, apply the medium's velocity factor rather than the free-space number.

Sources

Last verified: June 11, 2026 · Effective year 2026 · Rules v1.0.0

Disclaimer: For educational use. This uses the speed of light in a vacuum; waves travel slower in glass, water, or cable, so the wavelength inside a medium is shorter.

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