Question

Light travels through a liquid at 2.25e8 m/s. What is the index of refraction of the liquid?

Answer 1

Answer:

Refractive index = 1.33

Explanation:

Refractive index is of a material explains how light passes through a medium. It is the ratio of speed of light in vacuum to the speed of light in the medium.

We know the speed of light in water is $2.25* 10^8$ and there is a change iñ speed of light in every medium it passes (except when it passes through vacuum). The change in speed of light is known to be = $2.99*10^8$

Given speed of light = 2.25*10^8 m/s

Formula for refractive index:

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

Where,

change in speed of light, c= $2.99*10^8$

speed of light, v = 2.25*10^8 m/s

$Refractive index, n = \frac{2.99*10^8}{2.55*10^8}$

= 1.328

= 1.33

The liquid is water, and the index of refraction of water is 1.33

Answer 2

The index of refraction of the liquid will be "1.33".

As we know,

• Speed of light, $v = 2.25\times 10^8 \ m/s$
• Change in speed of light, $c = 2.99\times 10^8$

The refractive index will be:

→ $n = \frac{c}{v}$

By substituting the values,

      $= \frac{2.99\times 10^8}{2.55\times 10^8}$

      $= 1.33$

Thus the approach above is right.

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