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physics

Wavelength Calculator

Calculate the wavelength of any wave from its speed and frequency using λ = v ÷ f.

Wavelength
0.7795 m
λ = v ÷ f
In centimetres
77.955 cm
In nanometres
779,545,454.545 nm

How it works

  1. 1Enter the wave speed (m/s). Sound in air travels at ≈ 343 m/s; light in a vacuum at 3×10⁸ m/s.
  2. 2Enter the frequency in hertz (Hz). For example, a concert A note is 440 Hz.
  3. 3The calculator divides speed by frequency (λ = v ÷ f) and shows the wavelength in metres, centimetres, and nanometres.

Use cases

  • Audio engineering — the wavelength of a speaker’s fundamental frequency for room acoustics.
  • Optics and photonics — converting visible-light frequencies to nanometre wavelengths.
  • Radio and RF design — antenna element lengths are fractions of the signal wavelength.

Frequently asked questions

What is the formula for wavelength?

Wavelength λ (metres) = wave speed v (m/s) ÷ frequency f (Hz). For example, sound at 343 m/s and 440 Hz gives λ = 343 ÷ 440 ≈ 0.78 m.

What wave speed should I use for sound versus light?

Use 343 m/s for sound in air at 20 °C. For light in a vacuum use 3×10⁸ m/s. Light slows inside glass or water, so use the medium’s actual speed when precision matters.

Why does the result show — instead of a number?

A frequency of 0 Hz would require dividing by zero, which is undefined. Enter any positive frequency and the wavelength appears immediately.

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