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MHT CET 2024 (3 May, Shift 1) · Velocity of Efflux (Torricelli)

Velocity of Efflux (Torricelli) question from MHT CET 2024 (3 May, Shift 1)

Q12MHT CET 2024 · 3 MAY · SHIFT 1Medium

Velocity of Efflux (Torricelli)

A gardening pipe having an internal radius ' $R$ ' is connected to a water sprinkler having ' $n$ ' holes each of radius ' $r$ '. The water in the pipe has a speed ' $v$ '. The speed of water leaving the sprinkler is

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Answer: (b)

Continuity: flow in the pipe = total flow out of $n$ holes
$\pi R^2 v = n\pi r^2 v' \Rightarrow v' = \frac{R^2 v}{n r^2}$
So the answer is (b) $\frac{R^2 v}{n r^2}$ .

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