Light enters from air into diamond which has refractive index of 2.42 calculate the speed of light in diamond the speed of light

Question

3 years ago

13

in air is 3*10^8 m/s

1 answer:

ELEN [110] · Answer 1 · 2022-02-12T17:15:02+03:00

The speed of light in diamond is $1.24\cdot 10^8 m/s$

Explanation:

The index of refraction of a material is equal to the ratio between the speed of light in vacuum and the speed of light in the material:

$n=\frac{c}{v}$

where

n is the index of refraction

c is the speed of light in vacuum

v is the speed of light in the material

In this problem, we have:

n = 2.42 is the refractive index of diamond

$c=3.0\cdot 10^8 m/s$ is the speed of light in vacuum

Solving for v, we find the speed of light in diamond:

$v=\frac{c}{n}=\frac{3\cdot 10^8}{2.42}=1.24\cdot 10^8 m/s$

Learn more about refraction:

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