A fish rising vertically at the rate of 3 ms –1 to the surface of water observes a kingfisher (a bird) above the water, diving vertically towards it at the rate of 9 ms –1 , the refractive index of water is 4/3. Calculate the actual velocity of the kingfisher.
Text Solution
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Let actual velocity of bird = V bird
Velocity of image when seen by fish
V Image = µ V bird = 
× V bird
The velocity of the image of the bird relative to the fish is 9 ms –1 . this is given
relative velocity of bird
w.r.t. fish = V image – (– V fish )
= 
V bird + V fish
9 = 
× V bird + 3
V bird = 
= 4.5 ms –1
Option B is correct.
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