Light is refracted as it travels from a point A in medium 1 to a point B in medium 2 . If the in

step 1 In this problem, let the time taken by light to travel a distance x1 in medium A can be written

Light is refracted as it travels from a point A in medium 1...

Light is refracted as it travels from a point A in medium 1 to a point $\mathrm{B}$ in medium 2 . If the index of refraction is 1.33 in medium 1 and 1.51 in medium 2 , how long does it take light to go from $A$ to $B$, assuming it travels $331 \mathrm{cm}$ in medium 1 and $151 \mathrm{cm}$ in medium $2 ?$

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Key Concepts

Index of Refraction

The index of refraction is a measure of how much a medium slows down light compared to its speed in a vacuum. It describes how the speed of light is reduced in different materials and is calculated as the ratio of the speed of light in a vacuum to the speed of light in the medium.

Speed of Light in a Medium

In any medium other than vacuum, light travels at a speed that is the speed of light in a vacuum divided by the medium's index of refraction. This concept is essential in understanding how light behaves differently when it enters materials with varying optical densities.

Calculating Travel Time

The travel time for light through a medium is determined by dividing the distance covered by the speed of light in that medium. When a light ray travels through multiple media, the total travel time is the sum of the individual times calculated for each segment, using their respective speeds.

Refraction

Refraction is the phenomenon where the direction of light changes as it passes from one medium to another due to a change in speed. Although refraction alters the light’s path, when computing the travel time, one can use the given path lengths and the corresponding speeds in each medium.

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