A fish is rising up vertically inside a pond with a velocity of 4 cm/sec and notices a bird that is diving vertically downwards towards the pond and its velocity appears to be 20 cm/sec to the fish. What is the real velocity of the diving bird, if the refractive index of water is 43?
15 cm/sec
11 cm/sec
19 cm/sec
12 cm/sec
A
11 cm/sec
B
15 cm/sec
C
19 cm/sec
D
12 cm/sec
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Solution
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If at any instant the fish is at a distance x from the bottom surface while the bird is at a height h above the surface. Then the apparent height of the bird from surface as seen by fish is given by μy.
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