Frequency Wavelength Calculator
EM wave conversion tool
Conversion Mode
Input Value
All Unit Conversions
EM Spectrum Position
Frequency Spectrum
Wavelength Scale
Electromagnetic Spectrum Reference
Complete reference of the electromagnetic spectrum with frequency, wavelength, and photon energy ranges
| Band | Frequency Range | Wavelength Range | Photon Energy | Common Uses |
|---|---|---|---|---|
| Radio Waves | 3 Hz - 300 GHz | 1 mm - 100,000 km | 10⁻¹⁰ - 10⁻³ eV | Radio, TV, Communication |
| Microwaves | 300 MHz - 300 GHz | 1 mm - 1 m | 10⁻³ - 10⁻⁵ eV | Microwave ovens, Radar, Wi-Fi |
| Infrared | 300 GHz - 430 THz | 700 nm - 1 mm | 0.001 - 1.7 eV | Heat sensing, Remote controls |
| Visible Light | 430 - 750 THz | 400 - 700 nm | 1.7 - 3.1 eV | Human vision, Photography |
| Ultraviolet | 750 THz - 30 PHz | 10 - 400 nm | 3 - 124 eV | Sterilization, Fluorescence |
| X-rays | 30 PHz - 30 EHz | 0.01 - 10 nm | 124 eV - 124 keV | Medical imaging, Security |
| Gamma Rays | > 30 EHz | < 0.01 nm | > 124 keV | Cancer treatment, Nuclear |
Frequency by Band (Log Scale)
Wavelength by Band (Log Scale)
EM Spectrum Facts
Speed of Light
All EM waves travel at the speed of light (c = 299,792,458 m/s) in vacuum
Wave-Particle Duality
EM radiation behaves as both waves and particles (photons)
Visible Light
Only a tiny portion of the EM spectrum is visible to human eyes (400-700 nm)
Ionizing Radiation
UV, X-rays, and gamma rays can ionize atoms and damage biological tissue
Understanding Frequency and Wavelength
What is Frequency?
Frequency (f) is the number of wave cycles that pass a given point per second, measured in Hertz (Hz). Higher frequency means more cycles per second and shorter wavelength.
What is Wavelength?
Wavelength (λ) is the distance between two consecutive peaks (or troughs) of a wave, measured in meters. Longer wavelength means lower frequency.
The Fundamental Equation
The relationship between frequency, wavelength, and the speed of light:
- c = f × λ (speed of light = frequency × wavelength)
- f = c / λ (frequency = speed of light / wavelength)
- λ = c / f (wavelength = speed of light / frequency)
- Where c = 299,792,458 m/s (speed of light in vacuum)
Photon Energy
The energy of a photon is related to its frequency by Planck's equation:
- E = h × f (Energy = Planck's constant × frequency)
- E = h × c / λ (Energy = Planck's constant × speed of light / wavelength)
- Where h = 6.626 × 10⁻³⁴ J·s (Planck's constant)
- Energy is often expressed in electron-volts (eV): 1 eV = 1.602 × 10⁻¹⁹ J
The Electromagnetic Spectrum
The EM spectrum spans from radio waves (lowest frequency, longest wavelength) to gamma rays (highest frequency, shortest wavelength):
- Radio waves: Communication, broadcasting
- Microwaves: Cooking, radar, Wi-Fi, cell phones
- Infrared: Heat sensing, remote controls
- Visible light: Human vision (400-700 nm)
- Ultraviolet: Sterilization, fluorescence
- X-rays: Medical imaging, security
- Gamma rays: Cancer treatment, nuclear physics
Example Calculations
Example 1: FM radio at 100 MHz
- λ = c / f = (3 × 10⁸) / (100 × 10⁶) = 3 meters
Example 2: Green light at 550 nm
- f = c / λ = (3 × 10⁸) / (550 × 10⁻⁹) = 5.45 × 10¹⁴ Hz = 545 THz
Key Concepts
Inverse Relationship
Frequency and wavelength are inversely proportional - as one increases, the other decreases
Energy & Frequency
Higher frequency waves carry more energy per photon (E = hf)
Constant Speed
All EM waves travel at the same speed (c) in vacuum, regardless of frequency
Scale Matters
EM wavelengths range from subatomic (gamma rays) to planetary (radio waves)
Understanding Frequency and Wavelength
Frequency and wavelength are fundamental properties of electromagnetic waves that are inversely related through the speed of light. Understanding these concepts is crucial in physics, engineering, telecommunications, and many other fields. This calculator helps you convert between frequency and wavelength across the entire electromagnetic spectrum.
The Fundamental Equation
The relationship between frequency, wavelength, and the speed of light:
- c = f × λ (speed of light = frequency × wavelength)
- f = c / λ (frequency = speed of light / wavelength)
- λ = c / f (wavelength = speed of light / frequency)
- Where c = 299,792,458 m/s (speed of light in vacuum)
Photon Energy
The energy of a photon is related to its frequency by Planck's equation:
- E = h × f (Energy = Planck's constant × frequency)
- Where h = 6.626 × 10⁻³⁴ J·s (Planck's constant)
- Energy is often expressed in electron-volts (eV)
- Higher frequency = higher energy (gamma rays have the highest energy)
The Electromagnetic Spectrum
The EM spectrum spans from radio waves to gamma rays:
- Radio waves: 3 Hz - 300 GHz, used in communication
- Microwaves: 300 MHz - 300 GHz, used in cooking and Wi-Fi
- Infrared: 300 GHz - 430 THz, heat radiation
- Visible light: 430-750 THz (400-700 nm), human vision
- Ultraviolet: 750 THz - 30 PHz, causes sunburn
- X-rays: 30 PHz - 30 EHz, medical imaging
- Gamma rays: >30 EHz, nuclear radiation
Using This Calculator
Follow these steps:
- Step 1: Select conversion mode (Frequency → Wavelength or vice versa)
- Step 2: Enter the value and select the unit
- Step 3: Or use a quick preset (FM radio, Wi-Fi, visible light, etc.)
- Step 4: Click "Calculate" to see the converted value
- Step 5: View all unit conversions and photon energy
- Step 6: See where your wave falls on the EM spectrum
- Step 7: Check the EM Spectrum tab for complete reference
- Step 8: Read the Guide tab to learn the physics
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