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

In summary, the conversation discusses the index of refraction of a fish tank's walls based on the position of a sticker seen by a goldfish inside the tank. The equation s' = (n2/n1) * (s) is used to calculate the index of refraction, resulting in two possible values of 0.339 or 4.43 depending on the placement of the indices. The solution can be further refined by drawing a ray diagram and considering the definition of refractive index.
  • #1
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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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  • #2
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?
 

What is an index of refraction problem?

An index of refraction problem refers to a situation where the index of refraction (a measure of how much light bends when passing through a material) needs to be determined for a given material or scenario.

Why is the index of refraction important?

The index of refraction is important because it helps determine how light behaves when it passes through different materials, such as lenses or prisms. It also plays a role in determining the speed of light in a given material.

How is the index of refraction calculated?

The index of refraction is calculated by dividing the speed of light in a vacuum by the speed of light in a given material. This ratio gives the index of refraction for that material.

What factors can affect the index of refraction?

The index of refraction can be affected by the density, temperature, and composition of a material. It can also vary depending on the wavelength of light passing through the material.

How is the index of refraction used in real-world applications?

The index of refraction is used in a variety of real-world applications, including designing lenses for eyeglasses and cameras, creating optical fibers for telecommunication, and studying the behavior of light in different materials in scientific experiments.

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