A particular fish tank filled with fresh water (n = 1.33) has a coral reef stick

Question

A particular fish tank filled with fresh water (n = 1.33) has a coral reef sticker stuck to an exterior wall (outside of the tank). The tank?s walls are 2.5 cm thick, but a goldfish inside the tank sees the sticker 1.6 cm away from the water-wall interface. What is the index of refraction of the tank's walls? A biologist keeps a specimen of his favorite beetle embedded in a cube of polystyrene plastic, n=1.59. The hapless bug appears to be 1.8 cm within the plastic. What is the beetle?s actual distance beneath the surface? cm

Explanation / Answer

1) we have h1/n1 = h2/n2

n1 = (h1/h2)n2

h1 = 2.5 cm

h2 = 1.6 cm

n2 = 1.33

n1 = 2.08

2) n1 = 1.59

n2 =1

h2 =1.8 cm

h1 = (n1/n2)h2 = 2.86 cm is the actual distance beneeth the surface

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