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A biologist keeps a specimen of his favorite beetle embedded in a cube of polystyrene plastic. The hapless bug appears to be 2.0cm within the plastic. What is the beetle’s actual distance beneath the surface? (Express your answer using two significant figures.)
Revelant knowledge
Polystyrene is an aromatic synthetic hydrocarbon polymer composed of the monomer referred to as Styrene. Polystyrene is a solid material or foamed. The general-purpose polystyrene is transparent and hard. It is also hard and brittle. It is a low-cost resin per pound. It’s a weak barrier to water and oxygen vapour, and has a small melting point.
This problem can be solved by determining the apparent depth, actual depth, and refractive index.
Write the equation that describes the relationship between the apparent depth and the actual depth. This formula will allow you to calculate the depth beneath the surface of the beetle.
The equation to determine the relationship between apparent depth and actual depth is.
[katex]n = \frac{{{d_{{\rm{actual}}}}}}{{{d_{{\rm{apparnt}}}}}}[/katex]
Here, dactual is the actual depth, dapparnt is the apparent depth and n is the refractive index of the medium.
Answer: