Velocidade da Luz no Meio
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
v = c/n
About this calculator
The speed of light in a medium calculator determines how fast light propagates through a material using the formula v = c / n. Here, c is the speed of light in vacuum, approximately 3.00 × 10^8 m/s, and n is the refractive index of the medium, a dimensionless number indicating how much the material slows down light. The higher the refractive index, the slower the propagation. For example, light travels slower in water (n ≈ 1.33) than in air (n ≈ 1.0003).
Operation is simple: you enter the refractive index of the material, and the calculator divides c by that value. The result is the speed of light in that medium, in meters per second. This tool is useful for physics students, engineers, and optics professionals who need to calculate propagation delays in optical fibers, lenses, or other components. It also helps understand phenomena such as refraction and chromatic dispersion.
Use this calculator whenever you need to know how fast light travels in a specific material. For instance, when designing a fiber optic communication system, the speed of light in the fiber core determines transmission time. Another case is calculating the optical path in laboratory experiments. Caution: refractive index varies with light color (dispersion) and temperature; for accurate calculations, use the appropriate value for your experiment's wavelength and conditions.
Common mistakes include using the vacuum refractive index (n = 1) for other media or confusing refractive index with density. Remember that refractive index is an optical property, not a measure of mass. Also, the calculated speed is the phase velocity; in dispersive media, the group velocity may differ. For most practical applications, phase velocity is sufficient.
Frequently asked questions
What is the speed of light in air?
The speed of light in air is approximately 299,700 km/s, since the refractive index of air is about 1.0003.
Can the refractive index be less than 1?
No, the refractive index of a material medium is always greater than or equal to 1. Values below 1 occur only in exotic media, such as plasmas, for certain frequencies.
How does refractive index vary with temperature?
Generally, refractive index decreases as temperature increases, because the material's density decreases. For precise calculations, consult specific tables.
Can I use this calculator for light of any color?
Yes, but remember that refractive index depends on wavelength (dispersion). Use the correct value for the desired color, especially in media like glass or water.
What is the difference between phase velocity and group velocity?
Phase velocity is the speed of a monochromatic wave, calculated by v=c/n. Group velocity is the speed of the pulse envelope, which may differ in dispersive media.