A fish rising vertically upward with a uniform velocity of 8 m s -1 , observes that a bird is diving vertically downward towards the fish with the velocity of 12 m s -1 . If the refractive index of water is 
, then the actual velocity of the diving bird to pick the fish, will be__________m s -1 .
Text Solution
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CHECK THE SOLUTION.
(3)
Let the fish be at a depth x from the surface and let the bird be at height y from the surface. So, with respect to fish
y' = 
y + x
Differentiating with respect to time,
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