# If the index of refraction of water is 1.33, what is the speed of light in water?

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Apr 29, 2016

speed of light in water $v = 225 , 407 , 863.2 \text{ }$meter/second

#### Explanation:

Formula for refractive index

$n = \frac{c}{v}$ where $\text{ " "n=" }$refractive index
$\text{ "c=299792458" }$speed of light in a vacuum in
$\text{ }$meter per second
$\text{ } v =$phase velocity of light in the medium

Solve for $v$

$v = \frac{c}{n}$
$v = \frac{299792458}{1.33}$
$v = 225 , 407 , 863.2 \text{ }$m/sec

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