Question

The speed of light is 3.00 × 108 m/s in the vacuum of space. what index of refraction would light travel slowest?

Answer 1

The answer is n=1.62, but you should really attach the answers because otherwise no one can know the context of this problem.

Step-by-step explanation:

Use the equation n=c/v

plug in 3x10^8

n=3x10^8/v

then you try each of the answers (plug them in for n) and whichever one gives you the smallest number, which ends up being 1.62, is the slowest.

1.62=3x10^8/v

v=1.9x10^8 (approximately)

All of the other answers give you a larger velocity meaning they're faster. There's probably another way to do this but this is how I did it.

Answer 2

The refractive index or index of refraction of a medium is the ratio of speed of light in vacuum to that in the medium. It is measured by,
`n=(c)/(v)`. 'n' is the refractive index, c is the speed of light in the vacuum and v is the speed of light in the medium. So, the light would travel the slowest in the medium of highest refractive index. Diamond is known to have highest refractive index among the all the natural material. Its refractive index is 2.4175.