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In a lake, a fish rising vertically to t...

In a lake, a fish rising vertically to the surface of water uniformly at the rate of 3 m/s, observes a bird diving vertically towards the water at the rate of 9 m/s. The actual velocity of the dive of the bird is (given, refractive index of water = 4/3)

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To solve the problem, we need to find the actual velocity of the bird diving into the water, given the apparent velocity observed by the fish and the refractive index of water. ### Step-by-Step Solution: 1. **Understanding the Situation**: - The fish is rising vertically at a speed of \( v_f = 3 \, \text{m/s} \). - The bird is diving vertically towards the water, and the fish observes the bird diving at an apparent speed of \( v_{apparent} = 9 \, \text{m/s} \). - The refractive index of water is given as \( \mu = \frac{4}{3} \). ...
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