A 1.8-m-tall diver is standing completely submerged on the...

A 1.8-m-tall diver is standing completely submerged on the bottom of a swimming pool, in $3.0 \mathrm{m}$ of water. You are sitting on the end of the diving board, almost directly over her. How tall does the diver appear to be?

Key Concepts

Refraction

Refraction is the bending of light as it passes from one medium to another with a different optical density. This bending causes the trajectory of light rays to change, which in turn affects how we perceive the location and size of objects observed through interfaces like water and air.

Index of Refraction

The index of refraction is a measure of how much light slows down when it enters a material compared to its speed in vacuum. It is a crucial factor in determining how much light bends at an interface between two media, and variations in this index between water and air are central to understanding the perceived distortion of underwater objects.

Snell's Law

Snell's Law provides the quantitative relationship between the angles of incidence and refraction when light rays cross the boundary between two media with different indices of refraction. This law is fundamental in explaining how the direction of light changes at the water–air interface, which in turn influences the apparent position and size of objects submerged in water.

Apparent Depth

The concept of apparent depth explains the optical illusion where objects under water appear to be closer to the surface than they actually are. This effect is due to the refraction of light at the water–air interface, and it is directly used to calculate the perceived height and position of submerged objects as seen by an observer above the water.

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