Frequency of Light Calculator

Calculate light frequency from wavelength using the speed of light constant.

Frequency of Light Calculator

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Frequency of Light Calculator: f = c / λ

The Frequency of Light Calculator converts between wavelength and frequency using the relationship f = c / λ, where c is the speed of light. Light exists as electromagnetic waves, and frequency represents how many wave cycles occur per second. Higher frequency light has shorter wavelengths and carries more energy. Use this calculator to explore the wave-particle nature of light and understand the electromagnetic spectrum from radio waves to gamma rays.

How to Use

  1. Enter wavelength: Input wavelength and select units (m, cm, mm, μm, nm, Å).
  2. Or enter frequency: Input frequency and select units (Hz, kHz, MHz, GHz, THz, PHz).
  3. Calculate: Click "Calculate from Wavelength" or "Calculate from Frequency".
  4. Review steps: See unit conversions and the formula application.
  5. View results: Get the corresponding frequency or wavelength value.

Core Formula

f = \frac{c}{\lambda}

Light frequency depends on the speed of light (c) and wavelength (λ). Higher frequency = shorter wavelength.

  • c = 299,792,458 m/s (speed of light in vacuum)
  • λ (lambda) = wavelength in meters
  • f = frequency in Hertz (Hz)
  • Inverse relationship: λ × f = c

Light Wavelength & Frequency Examples

  • Red light: ~700 nm wavelength, ~428 THz frequency
  • Green light: ~550 nm wavelength, ~545 THz frequency
  • Blue light: ~450 nm wavelength, ~667 THz frequency
  • Infrared: >700 nm wavelength, <428 THz frequency
  • Ultraviolet: <380 nm wavelength, >789 THz frequency

Applications in Physics & Technology

Light frequency calculations are essential in spectroscopy, laser design, optical communications, and photonics. Physicists use frequency measurements to identify elements through their spectral signatures, identify materials, and analyze light behavior. Engineers design optical systems at specific frequencies for telecommunications, photography, and medical imaging. Understanding wavelength-frequency relationships helps in studying the full electromagnetic spectrum and its applications.

The Speed of Light Constant

The speed of light (c = 299,792,458 m/s) is a fundamental constant in physics. This speed is the same in all reference frames and is the ultimate speed limit in the universe. It appears throughout Einstein's theory of relativity and is essential in quantum mechanics. All electromagnetic waves—from radio to gamma rays—travel at this speed, but at different frequencies and wavelengths. Using this calculator ensures accurate conversions using the precise scientific value.

What is the relationship between wavelength and frequency?

They are inversely proportional: as wavelength increases, frequency decreases. The product of wavelength and frequency always equals the speed of light (c = λ × f).

Why does visible light have different colors at different frequencies?

Human eyes detect different frequencies as different colors. Red light has lower frequency (~428 THz), while blue light has higher frequency (~667 THz). Our brain interprets these frequency differences as distinct colors.

Can I use this calculator for other electromagnetic waves?

Yes! This formula applies to all electromagnetic waves: radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. They all travel at the speed of light with different wavelengths and frequencies.

What units should I use?

Choose units based on the context. Visible light is typically in nanometers (nm) or angstroms (Å). Radio waves are measured in meters (m). Frequency can be in Hertz, kilohertz, megahertz, gigahertz, terahertz, or petahertz.

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