Question

The refractive index of water is 4/3. The speed of light in air is . Then speed of light in water is then ______

Answer 1

Explanation:

RI=c/v=4/3

v=3/5*c=(3/4)*3*10^8

2.25*10^8

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Answer 2

Given :

▪ Refractive index of water = 4/3

▪ Speed of light in air = 3×10$^8$m/s

To Find :

▪ Speed of light in water.

Concept :

✒ Refractive index of medium is defined as the ratio of speed of light in air to the speed of light in medium.

✒ Refractive index is an unitless as well as dimensionless quantity.

Mathematically,

$\bigstar\:\underline{\boxed{\bf{\red{n=\dfrac{v_{air}}{v_{medium}}}}}}$

Calculation :

$\implies\sf\:n_{water}=\dfrac{v_{air}}{v_{water}}\\ \\ \implies\sf\:\dfrac{4}{3}=\dfrac{3\times 10^8}{v_{water}}\\ \\ \implies\sf\:v_{water}=\dfrac{3\times 3\times 10^8}{4}\\ \\ \implies\underline{\boxed{\bf{\purple{v_{water}=2.25\times 10^8\:mps}}}}$

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