Question

The speed of light in a medium is 2.5 × 10(8) m/s. What is its refractive index if the speed of light in air is 3 × 10(8) m/s?

Answer 1

n=c/v
c=3 * 10(8) m/s
v=2.5 * 10(8) m/s
n=3/2.5
=1.2

Answer 2

Answer:

The refractive index of a medium is 1.2.

Explanation:

Given the speed of light in a medium, $v= 2.5 \times 10^8 m/s$

The speed of light in air, $c= 3 \times 10^8 m/s$

The speed of light in a medium depends on the density of a medium.

More the density of the medium, slower the speed of light.

Refractive index or index of refraction of a medium is also equal to the ratio of the velocity of light, c in air or empty space to the velocity of light in a medium, v.

Where n is the refractive index given by

$n=\dfrac{c}{v}$

Substituting the given values,

$n=\dfrac{3 \times10^8}{2.5 \times10^8}=1.2$

Therefore, the refractive index of a medium is 1.2.

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