Frequency and Wavelength Calculator

The Frequency and Wavelength Calculator solves the fundamental wave equation v = f × λ in any direction. Enter any two of frequency, wavelength, or wave speed to calculate the third. Includes preset wave speeds for light in vacuum (3×10⁸ m/s), sound in air (343 m/s), and sound in water (1480 m/s). Also calculates wave period T = 1/f and identifies the region of the electromagnetic spectrum.

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waves Wave Parameters

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Wavelength
Frequency (f)
Wavelength (λ)
Period (T = 1/f)
Wave Speed (v)
EM Spectrum Region
Photon Energy

Wave Equation

v = f × λ

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lightbulb Tips

  • v = f × λ — the fundamental wave equation
  • Higher frequency = shorter wavelength
  • Visible light: 380 nm (violet) to 700 nm (red)
  • FM radio ≈ 3 m wavelength at 100 MHz

waves EM Spectrum

Gamma < 0.01 nm
X-rays 0.01–10 nm
Ultraviolet 10–400 nm
Visible light 400–700 nm
Infrared 700 nm–1 mm
Microwave 1 mm–10 cm
Radio waves 10 cm–10 km

The Formula

Wave speed equals frequency times wavelength. Higher frequency = shorter wavelength for the same medium. Period is the reciprocal of frequency.

v = f × λ | T = 1/f | E = h·f (photon energy)

lightbulb Variables Explained

tips_and_updates Pro Tips

1

Light in vacuum: c = 299,792,458 m/s ≈ 3×10⁸ m/s

2

Sound in air at 20°C: ~343 m/s (varies with temperature)

3

Higher frequency = shorter wavelength (inverse relationship)

4

Visible light: 380 nm (violet) to 700 nm (red)

5

FM radio: 88–108 MHz → wavelengths of 2.8–3.4 m

Frequently Asked Questions

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Data sourced from trusted institutions

All formulas verified against official standards.