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Q.

The refractive index of different mediums like A, B, C, D are given $1.54, 1.33, 2.42$ , and $1.65$ respectively. Then light travels fastest in which medium light travels fastest?

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a

A

b

B

c

C

d

D

answer is B.

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Detailed Solution

Light travels fastest in medium B.
We know that the refractive index

μ = \frac{speed of light in vacuum}{speed of light in medium}

μ = \frac{c}{v}

v = \frac{c}{μ}

We can see from the above formula that the speed of light is inversely proportional to its refractive index. Hence the medium with a low refractive index facilitates the lights to travel fast. From the above values given, medium B having a refractive index of

1.33

is the medium in which light travels fast.

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