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Short answer: About 33.3 picoseconds (in vacuum).

The speed of light in a vacuum is 2.9979 x 10^8 meters per second. Written in centimeters, this is 29,979,000,000 centimeters per second.

That is just almost 30 Billion centimeters per second. So, in one-Billionth of a second light travels 30 centimeters (in vacuum). (More precisely, it travels 29.979 cm per billionth of a second, but 30 cm is a very good approximation.)

Okay, now for the 1 cm time: divide one-billionth of a second by 30, and we get 33.3 Trillionths of a second (3.33 x 10^-11 sec, or 33.3 picoseconds.)

If the light is traveling in some medium other than vacuum, then it goes at a slower speed. We typically use 'c' to represent the speed of light in a vacuum. If the light travels at speed 'v' in a medium, then we call the Refractive Index of the medium n, where n = c/v. For example, pure water has n = 1.33, common glass has n = 1.5.

[The refractive index depends upon the wavelength of the light. Germanium crystal has the highest refractive index among common, natural material; it is opaque to visible light but in the mid infrared it has n = 4.]

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