How deep does a point in the middle of a 3.00 -m-deep pool...

How deep does a point in the middle of a 3.00 -m-deep pool appear to be to a person standing beside the pool at a position $2.00 \mathrm{~m}$ horizontally from the point? Take the index of refraction for the liquid in the pool to be 1.30 and that for air to be $1.00 .$

Key Concepts

Refraction

Refraction is the bending of light as it passes from one medium to another with a different refractive index. This phenomenon is responsible for changes in the apparent position of objects when viewed across media interfaces, such as from water to air.

Refractive Index

The refractive index of a medium is a measure of how much the speed of light is reduced compared to its speed in a vacuum. It is critical in predicting the extent of bending (refraction) that occurs when light transitions between media with different indices.

Apparent Depth

Apparent depth is the perceived depth of an object under water as seen by an observer, which is typically less than the true depth due to the bending of light. This concept is used to understand how an object appears to be closer to the surface than it actually is.

Snell's Law

Snell's Law defines the relationship between the angles of incidence and refraction and the refractive indices of the two media. It provides the mathematical framework to calculate how light rays bend at the interface, influencing the apparent position of submerged objects.

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