Wavelength Calculator

Calculate wavelength, frequency, and wave velocity for electromagnetic and acoustic waves

Calculate Wave Properties

Number of wave cycles per second

Speed of wave propagation in medium

Quick Frequency Presets:

Calculation Results

0.000e+0
Wavelength (m)
0.000e+0
Wavelength (nm)
0.000e+0
Wavelength (μm)

Formula used: λ = v/f (wavelength = velocity/frequency)

• λ = 3.00e+8 / 0.00e+0 = 0.000e+0 m

Example Calculation

Radio Wave Example

Given: f = 100 MHz, v = 3×10⁸ m/s (speed of light)

Find: Wavelength of the radio wave

Solution

λ = v/f

λ = (3×10⁸ m/s) / (100×10⁶ Hz)

λ = 3×10⁸ / 1×10⁸

λ = 3.0 m

Wave Properties

Wavelength (λ):
Distance between wave peaks
Frequency (f):
Wave cycles per second
Wave Velocity (v):
Speed of wave propagation
Period (T):
Time for one complete cycle

Electromagnetic Spectrum

📻
Radio waves
λ > 1 m
📡
Microwaves
1 mm - 1 m
🔥
Infrared
700 nm - 1 mm
👁️
Visible light
400-700 nm
☀️
Ultraviolet
10-400 nm

Understanding Wavelength and Wave Properties

What is Wavelength?

Wavelength (λ) is the distance between two consecutive points that are in phase on a wave, such as two adjacent crests or troughs. It's a fundamental property that determines many characteristics of electromagnetic radiation and sound waves.

Wave Equation

  • λ = v/f - Basic wave equation
  • c = λf - For electromagnetic waves
  • E = hf - Photon energy equation
  • T = 1/f - Period and frequency relationship

Applications

λ = v/f

  • λ: Wavelength (m, nm, etc.)
  • v: Wave velocity (m/s)
  • f: Frequency (Hz)
  • c: Speed of light (3×10⁸ m/s)
  • h: Planck's constant (6.626×10⁻³⁴ J⋅s)

Key Insight: Frequency and wavelength are inversely related - as frequency increases, wavelength decreases for the same wave velocity.

Physical Constants:
• Speed of light in vacuum: 299,792,458 m/s
• Speed of light in water: ≈ 225,000,000 m/s
• Speed of sound in air: ≈ 343 m/s (at 20°C)