The Speed of Light in a Given Medium and Absolute Refractive Index

The speed of light in a given medium is influenced by the properties of that medium. When light travels through a medium other than vacuum, such as air, water, or glass, it encounters particles and interactions that slow down its speed. The speed of light in vacuum is denoted by the symbol 'c' and is approximately 299,792,458 meters per second.

In this case, it is stated that the speed of light in the given medium is two-thirds of its speed in vacuum. Let's denote the speed of light in the medium as 'v'. According to the given information, we have:

v = (2/3) * c

Absolute Refractive Index

The absolute refractive index, denoted by the symbol 'n', is a measure of how much a given medium can slow down the speed of light compared to vacuum. It is defined as the ratio of the speed of light in vacuum to the speed of light in the medium:

n = c / v

Substituting the value of 'v' from the given information into the equation above, we get:

n = c / ((2/3) * c)

Simplifying the expression:

n = 3/2

Hence, the absolute refractive index of the given medium is 3/2.

Summary

- The speed of light in a given medium is two-thirds of its speed in vacuum.
- The absolute refractive index is a measure of how much a medium slows down the speed of light compared to vacuum.
- The absolute refractive index is calculated by dividing the speed of light in vacuum by the speed of light in the medium.
- In this case, the absolute refractive index of the given medium is 3/2.

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