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MHT CET 2020 (16 Oct, Shift 2) · Velocity of Efflux (Torricelli)

Velocity of Efflux (Torricelli) question from MHT CET 2020 (16 Oct, Shift 2)

Q21MHT CET 2020 · 16 OCT · SHIFT 2Medium

Velocity of Efflux (Torricelli)

A large open tank containing water has two holes to its wall. A square hole of side $a$ is made at a depth $y$ and a circular hole of radius $r$ is made at a depth $16y$ from the surface of water. If equal amount of water comes out through both the holes per second, then the relation between $r$ and $a$ will be

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Answer: (a)

Equal flow: $a^2\sqrt{2gy} = \pi r^2\sqrt{2g(16y)}$
$a^2 = 4\pi r^2 \Rightarrow r = \frac{a}{2\sqrt{\pi}}$
So the answer is (a) $r = \frac{a}{2\sqrt{\pi}}$ .

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