You are given three media, A, B, and C, of the refractive index of $1.33$ , $1.65$ , and $1.46$ . In which medium will the light travel faster?

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Equal in all three media

answer is A.

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Detailed Solution

The light will travel faster in medium A.
As we know from the definition of the refractive index,

μ = \frac{c}{v}

where

c

is the speed of light in vacuum

v

is the speed of light in medium

µ

is refractive index

\Rightarrow v = \frac{c}{μ}

So, the refractive index of the medium is inversely proportional to the velocity of light in the medium. Hence, the light will travel faster in the medium with a lower refractive index. Here, medium A has the lowest refractive index,

1.33

, so the light will travel faster in medium A.

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