The refractive index of a liquid is 1.5. If the velocity of light in vacuum is 3.0 x 10{}^8{m/s}, the velocity of light in the liquid is

Correct Answer is : 2.0 x 108m/s{}^8{m/s}8m/s

Correct Answer is : 2.0 x 108m/s{}^8{m/s}8m/s

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JAMB Physics 2020 Paper

Question : 24

Total: 38

{}^8\text{m/s}

, the velocity of light in the liquid is

Solution:

Concept:

Refractive index is the ratio of the speed of light in vacuum to its speed in the medium.

Explanation:

Given: refractive index

n = 1.5

and speed of light in vacuum

c = 3.0 \times 10^8\ \text{m/s}

The relationship is

n = \frac{c}{v}

, where

v

is the speed in the liquid.

Rearrange to get

v = \frac{c}{n}

Substitute the values:

v = \frac{3.0 \times 10^8}{1.5}

So,

v = 2.0 \times 10^8\ \text{m/s}

This matches option B.

Answer:

2.0 \times 10^8\ \text{m/s}

(Option B).

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