The speed of light in diamond is [tex]1.24\cdot 10^8 m/s[/tex]
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:
[tex]n=\frac{c}{v}[/tex]
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
[tex]c=3.0\cdot 10^8 m/s[/tex] is the speed of light in vacuum
Solving for v, we find the speed of light in diamond:
[tex]v=\frac{c}{n}=\frac{3\cdot 10^8}{2.42}=1.24\cdot 10^8 m/s[/tex]
Learn more about refraction:
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