A beaker has a height of 40.0 cm. The lower half of the beaker is filled with water (n = 1.333), and the upper half is filled with oil (n = 1.48). To a person looking down into the beaker from above, what is the apparent depth of the bottom?
Apparent Depth= d(n(observer)/n(object))
The Attempt at a Solution
I believe this is a two part problem, so I broke it down into that. First I solved it from the perspect of looking observing from the oil level to the water level and calculated this:
Apparent Depth= 20(1.48/1.333)=22.2
I used 20 as the distance between the water and the bottom because it was half of the size of the beaker. That may be incorrect, however.
I then used the apparent depth that I calcuated above to solve the second part from the aspect of looking at this from the air to the oil and calculated this:
I then added the two together to get 55.056 cm as my total apparent depth, but the answer is incorrect. What am I doing wrong?