Frequency To Wavelength Calculator
Calculate wavelength from frequency and vice versa for electromagnetic and acoustic waves
Calculate Frequency and Wavelength
Number of oscillations per second
Speed of wave propagation in the medium
Select the medium for automatic velocity setting
Wave Properties Results
Formula used: λ = v / f (or f = v / λ)
Input values:Frequency: 0.000e+0 Hz, Wavelength: 0.000e+0 m, Velocity: 2.998e+8 m/s
Period: T = 0 seconds
Wave Analysis
Example Calculations
Red Light (Visible)
Given: f = 4.62×10¹⁴ Hz, c = 3×10⁸ m/s
Formula: λ = c / f
Calculation: λ = 3×10⁸ / 4.62×10¹⁴
Result: λ = 649 nm (red light)
WiFi Signal (2.4 GHz)
Given: f = 2.4 GHz, c = 3×10⁸ m/s
Formula: λ = c / f
Calculation: λ = 3×10⁸ / 2.4×10⁹
Result: λ = 12.5 cm (microwave)
Sound Wave (440 Hz)
Given: f = 440 Hz, v = 343 m/s (air)
Formula: λ = v / f
Calculation: λ = 343 / 440
Result: λ = 0.78 m (musical note A4)
Wave Equations
Basic Relationship
v = f × λ
Wave velocity = frequency × wavelength
Wavelength
λ = v / f
Wavelength from frequency
Frequency
f = v / λ
Frequency from wavelength
Period
T = 1 / f
Time for one complete oscillation
Electromagnetic Spectrum
Common Frequencies
Familiar frequencies and their applications:
Understanding Frequency and Wavelength
What is a Wave?
A wave is a periodic motion where energy propagates through space or matter without transferring the material itself. Waves can be electromagnetic (like light) or mechanical (like sound), and they all follow the fundamental relationship between frequency, wavelength, and velocity.
Key Wave Properties
- •Frequency (f): Number of oscillations per second (Hz)
- •Wavelength (λ): Distance between two consecutive peaks
- •Velocity (v): Speed of wave propagation
- •Period (T): Time for one complete oscillation (T = 1/f)
The Wave Equation
Fundamental Relationship
v = f × λ
This equation shows that wave velocity equals frequency times wavelength
Derived Forms
λ = v / f
f = v / λ
These allow calculation of any property when the other two are known
Practical Applications
- ✓Communications: Radio, TV, WiFi, cellular networks
- ✓Medical: X-rays, MRI, ultrasound imaging
- ✓Astronomy: Studying distant stars and galaxies
- ✓Music: Understanding sound frequencies and acoustics
Medium Effects
- ⚠️Refraction: Waves bend when entering different media
- ⚠️Dispersion: Different frequencies travel at different speeds
- ⚠️Absorption: Some frequencies are absorbed by materials
- ⚠️Reflection: Waves can bounce off surfaces