Refraction Of Light Video Lessons

Concept

# Problem: A goldfish lives in a 50-cm-diameter spherical fish bowl. The fish sees a cat watching it. If the cat's face is 20 cm from the edge of the bowl, how far from the edge does the fish see it as being? (You can ignore the thin glass wall of the bowl.)

###### FREE Expert Solution

Suppose an object is placed at a distance so, from a spherical reflecting surface, an image will be formed at distance si given by:

$\overline{)\frac{{\mathbf{\eta }}_{\mathbf{1}}}{{\mathbf{s}}_{\mathbf{o}}}{\mathbf{+}}\frac{{\mathbf{\eta }}_{\mathbf{2}}}{{\mathbf{s}}_{\mathbf{i}}}{\mathbf{=}}\frac{{\mathbf{\eta }}_{\mathbf{2}}\mathbf{-}{\mathbf{\eta }}_{\mathbf{1}}}{\mathbf{R}}}$, where R is the radius of curvature of the spherical surface.

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###### Problem Details

A goldfish lives in a 50-cm-diameter spherical fish bowl. The fish sees a cat watching it. If the cat's face is 20 cm from the edge of the bowl, how far from the edge does the fish see it as being? (You can ignore the thin glass wall of the bowl.)