Written Response Questions 26 Marks (1) A small fish is swimming at a depth d be

Question

Written Response Questions 26 Marks (1) A small fish is swimming at a depth d below the surface of a pond as shown in the figures. (a) What is the apparent depth q of the fish as viewed from directly overhead? (Left figure) (b) If your face is a distance d above the water surface, at what apparent distance above the surface does the fish see your face? (Right figure) (c) If you look more carefully at the fish and measure its apparent height from its upper fin to its lower fin? Is the apparent height h of the fish different from the actual height h? (Left figure) 112=4+4+4 Marks] = 1.00 m, 1.33

Explanation / Answer

a)

Because n1 > n2, where n2 = 1.00 is the index of refraction for air, the rays originating from the fish are refracted away from the normal at the surface and diverge outward. Extending the outgoing rays backward shows an image point under the water. Because the refracting surface is flat, R is infinite. Hence, we have q =- (n2/n1)p,    [q->image distance, p->object distance]

with p = d, yielding

q = (1/1.33)d = 0.752d

b)

Because the rays refract toward the normal, your face appears higher above the surface than it actually is. The image distance is:

q = (1.33/1)d = 1.33d

c) not sure

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