What is the index of refraction of the tank's walls?

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SUMMARY

The index of refraction of the fish tank's walls was calculated using the formula s' = (n2/n1) * s, where n1 is the index of refraction of water (1.33) and s is the perceived distance (0.6 cm). The calculations yielded two potential values for the index of refraction of the tank's walls: 0.339 and 4.43, depending on the arrangement of the indices in the formula. This scenario exemplifies a false-depth question, emphasizing the importance of ray diagrams in determining the correct interpretation of refractive indices.

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1. A particular fish tank filled with fresh water (n = 1.33) has a coral reef sticker stuck to the exterior wall outside the fish tank. The tank's walls are 2 cm thick, but a goldfish inside the tank sees the sticker 0.6 cm away from the water-wall interface. What is the index of refraction of the tank's walls?



s' = (n2/n1) * (s)



Plugged in the values into the aforementioned equation and got an index of refraction of either 0.339 or 4.43, depending on which index is in the numerator and which is in the denominator (and vice versa).
 
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Welcome to PF;
Do you have a question? Don't make us guess!

You have correctly ascertained that this is a false-depth question. The way to figure out which bit goes where is to draw the ray diagram of the situation.
Of course, you can easily sort out your two numbers by looking at the definition of refractive index: what is it exactly?
 

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