You look down at a coin that lies at the bottom of a pool of

You look down at a coin that lies at the bottom of a pool of liquid of depth d = 1.07 m and index of refraction n = 1.44 (the figure below). Because you view with two eyes, which intercept different rays of light from the coin, you perceive the coin to be where extensions of the intercepted rays cross, at depth d_a instead of d. Assuming that the intercepted rays in the figure are close to a vertical axis through the coin, find the value of d_a.

Solution

Given that the intercepted rays in the figure are close to vertical axis through the coin

Apparent Depth, d_a = d / n
   = 1.07 / 1.44 m
   = 0.743 m or 74.30 cm