(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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?

2. Relevant equations

Apparent Depth= d(n(observer)/n(object))

3. 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:

22.2= d(1/1.48)

d=32.856

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?

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# Homework Help: Apparent Depth Problem

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