Physics

Problem

A transparent medium has a variable refractive index

n(y)

that depends on the depth

y

n(y) = \frac{1}{1 - 0.5y}

, where

y

is in meters. A ray of light enters normally at

y=0

. Calculate the apparent depth of a point located at

y = 1.0\,\text{m}

as seen from the surface.