A fish rising vertically upward with a uniform velocity of observes that a bird is diving vertically downward towards the fish with the velocity of . [2023]

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Solution

Q.
A fish rising vertically upward with a uniform velocity of $8 {ms}^{- 1}$ observes that a bird is diving vertically downward towards the fish with the velocity of $12 {ms}^{- 1}$ . If the refractive index of water is $\frac{4}{3}$ , then the actual velocity of the diving bird to pick the fish, will be _____ ${ms}^{- 1}$ . [2023]

Ans.
(3)

$\frac{V_{b / f}}{(\frac{4}{3})} = \frac{- 8}{(\frac{4}{3})} + \frac{(- v)}{1} \Rightarrow \frac{- 12}{(\frac{4}{3})} = \frac{- 8}{(\frac{4}{3})} + \frac{(- v)}{1}$

$\Rightarrow v = 3 m/s$

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