Wavelength Calculator Formula

Understand the math behind the wavelength calculator. Each variable explained with a worked example.

Formulas Used

Wavelength

wavelength = wave_speed / frequency

Wavelength (cm)

wavelength_cm = (wave_speed / frequency) * 100

Variables

VariableDescriptionDefault
wave_speedWave Speed(m/s)343
frequencyFrequency(Hz)440

How It Works

Wavelength

Wavelength is the spatial distance between two consecutive points of equal phase on a wave.

Formula

lambda = v / f

Longer wavelengths correspond to lower frequencies when speed is constant.

Worked Example

Concert A note (440 Hz) in air at 343 m/s.

wave_speed = 343frequency = 440
  1. 01lambda = v / f
  2. 02lambda = 343 / 440
  3. 03lambda = 0.7795 m
  4. 04lambda = 77.95 cm

Frequently Asked Questions

What is the wavelength of visible light?

Visible light ranges from about 380 nm (violet) to 700 nm (red).

How does wavelength change when a wave enters a denser medium?

The wavelength decreases because the wave slows down while frequency remains constant.

What is the wavelength of a typical FM radio signal?

FM radio broadcasts around 100 MHz, giving a wavelength of about 3 meters.

Learn More

Guide

Understanding the Electromagnetic Spectrum

A complete guide to the electromagnetic spectrum. Learn about radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays, including their wavelengths, frequencies, and applications.

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