Lense with two mediums speed of a fish in an aquarium

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    Aquarium Speed
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The apparent speed of a goldfish swimming at 4.40 cm/s in an aquarium is calculated using the formula p = - (n1/n2) q, where n1 is the index of refraction of water (1.333) and n2 is that of air (1.00). A user attempted to solve the problem but mistakenly switched the object distance (p) and image distance (q), leading to an incorrect result of 5.85. Correcting this error is essential for finding the accurate apparent speed as perceived by an observer outside the tank. Proper application of the formula will yield the correct apparent speed of the fish. Understanding the relationship between the indices of refraction and the distances is crucial for solving this type of optics problem.
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Homework Statement


A goldfish is swimming at 4.40 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed of the fish as measured by an observer looking in from outside the front wall of the tank? The index of refraction of water is 1.333.


Homework Equations


p = - (n1/n2) q
where q is object distance, p is image distance, and n1 and n2 are the respective indices of refraction mediums

The Attempt at a Solution


i plugged it in using water (1.33) as medium 1 and air (1.00) for n2. I plugged in 4.40 for q. I got 5.85 and that got the red x... help
 
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Hi goWlfpack,

goWlfpack said:

Homework Statement


A goldfish is swimming at 4.40 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed of the fish as measured by an observer looking in from outside the front wall of the tank? The index of refraction of water is 1.333.


Homework Equations


p = - (n1/n2) q
where q is object distance, p is image distance, and n1 and n2 are the respective indices of refraction mediums

The Attempt at a Solution


i plugged it in using water (1.33) as medium 1 and air (1.00) for n2. I plugged in 4.40 for q. I got 5.85 and that got the red x... help

Here p is the object distance and q is the image distance; you seem to have these switched with each other.
 
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