Wavelength Calculator
λ = c/f — wavelength, frequency, and wave speed
What is the Wavelength Calculator?
Wavelength, frequency, and wave speed are connected by a single equation, and if you know any two, this calculator finds the third. It's useful for physics students, RF engineers, audio engineers, and anyone working with electromagnetic or sound waves. CalciHub's calculator handles the conversions and arithmetic so you can focus on what the numbers mean rather than how to get them.
How Does It Work?
Wave speed equals frequency multiplied by wavelength. For light and radio waves, the wave speed is the speed of light (about 3 × 10⁸ m/s). For sound in air at room temperature, it's about 343 m/s.
v = f × λ
λ = v / f
f = v / λ
• v = Wave speed, in meters per second (m/s)
• f = Frequency, in hertz (Hz)
• λ (lambda) = Wavelength, in meters (m)
How to Use CalciHub's Wavelength Calculator
1. Select what you want to find: wavelength, frequency, or wave speed.
2. Choose the wave type (electromagnetic or sound) if relevant, this auto-fills wave speed.
3. Enter the two known values.
4. Click Calculate.
Tip: For radio and light waves, frequency and wavelength have an inverse relationship, as one goes up, the other goes down. A 1 GHz signal has a wavelength of about 30 cm; a 10 GHz signal has a 3 cm wavelength.
A Quick Example
A physics student needs to find the wavelength of a radio station broadcasting at 98.5 MHz (FM radio).
• v = 3 × 10⁸ m/s (speed of light)
• f = 98.5 MHz = 98,500,000 Hz
• λ = 3 × 10⁸ / 98,500,000 ≈ 3.05 m
That's about 3 meters per wave, which is why FM antennas are designed to be around that length or a simple fraction of it to resonate effectively.
Frequently Asked Questions
Visible light falls between roughly 380 nm (violet) and 700 nm (red). These are nanometres — billionths of a metre. Different colours correspond to different frequencies within that range.
Yes. Wave speed changes when the medium changes (light slows down in glass, for instance), but frequency stays constant. So wavelength must adjust. This is what causes refraction — the bending of light at a boundary.
The same formula works. For sound in air at 20°C, v ≈ 343 m/s. A 440 Hz tone (concert A) has a wavelength of about 0.78 meters. Bass frequencies have much longer wavelengths, which is why low sounds pass through walls more easily.
Yes. All electromagnetic waves follow the same formula using the speed of light. Microwaves sit around 1 mm to 1 m in wavelength; X-rays are much shorter, in the 0.01 to 10 nanometer range.
Yes, it's free with no account required.
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