Answer:
[tex]1.25 \cdot 10^8 m/s[/tex]
Explanation:
The speed of light through a medium is given by:
[tex]v=\frac{c}{n}[/tex]
where
[tex]c = 3 \cdot 10^8 m/s[/tex] is the speed of light through vacuum
n is the index of refraction of the material
In this case, diamond has a refractive index of n = 2.4, so the speed of light in diamond is
[tex]v=\frac{3\cdot 10^8 m/s}{2.4}=1.25\cdot 10^8 m/s[/tex]