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Physics - Fluid Question with Solution | TestHub

PhysicsFluidBernoulli's theorem and applicationsEasy2 minQB

PhysicsEasysingle choice

A vessel completely filled with water has holes $A$ and $B$ at depths $h$ and $3 h$ from the top respectively. Hole $A$ is a square of side $L$ and $B$ is circle of radius $r$ . The water flowing out per second from both the holes is same. Then $L$ is equal to

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Answer:

Solution:

$A_{1} V_{1} = A_{1} V_{2}$

$L^{2} \sqrt{2 gh} = π r^{2} \sqrt{6 gh}$

$L^{4} gh = π^{2} r^{4} 3 gh$

$L = (π)^{\frac{1}{2}} (r) {(3)}^{\frac{1}{4}}$

$L = (r) {(π)}^{\frac{1}{2}} {(3)}^{\frac{1}{4}}$

Stream:JEESubject:PhysicsTopic:FluidSubtopic:Bernoulli's theorem and applications

⏱ 2mℹ️ Source: QB

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