The time taken by the light to travel a distance of 500...

The time taken by the light to travel a distance of 500 metre in water of refractive index of $4 ;$ (Given: velocity of light in vacuum $=3 \times 10^{*}$ an $/$.(a) $3 \times 10^{-10} \mathrm{sec}$ (b) $2.22 \times 10^{-6} \mathrm{sec}$ (c) $4.3 \times 10^{-5} \mathrm{sec}$ (d) $3 \times 10^{-6} \mathrm{sec}$

The time taken by the light to travel a distance of 500 metre in water of refractive index of $4 ;$ (Given: velocity of light in vacuum $=3 \times 10^{*}$ an $/$.(a) $3 \times 10^{-10} \mathrm{sec}$
(b) $2.22 \times 10^{-6} \mathrm{sec}$
(c) $4.3 \times 10^{-5} \mathrm{sec}$
(d) $3 \times 10^{-6} \mathrm{sec}$

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Key Concepts

Speed of Light

The speed of light is the ultimate speed limit in the universe, commonly denoted as 'c'. It is approximately 3 x 10^8 meters per second in vacuum, and this value serves as a reference for how quickly light and other electromagnetic waves propagate in space.

Refractive Index

The refractive index of a medium is a dimensionless number that describes how light propagates through that medium compared to vacuum. It is defined as the ratio of the speed of light in vacuum to the speed of light in the medium, indicating how much the light slows down when entering the medium.

Light Propagation in a Medium

When light travels through a material, its speed decreases compared to its speed in vacuum. This reduction in speed is determined by the refractive index of the material, and so calculations involving light in different substances must account for the medium's refractive properties.

Time Calculation for Light Travel

Calculating the time taken by light to travel a given distance in a medium involves using the reduced speed of light in that medium. The time is determined by dividing the distance by the speed of light in the medium, making it necessary to factor in both the distance and the medium's refractive index.

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