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Mechanical Properties of Fluids

Efflux velocity

A cylinder of height 20 {~m} is completely filled with water.

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Medium

Solving time: 3 mins

A cylinder of height $20 m$ is completely filled with water. The velocity of efflux of water (in $ms^{- 1}$ ) through a small hole on the side wall of the cylinder near its bottom, is
(a) 10
(b) 20
(c) $25.5$
(d) 5

Views: 5,858 students

Updated on: Apr 22, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2004

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Elizabeth Discussed

A cylinder of height

20 m

is completely filled with water. The velocity of efflux of water (in

ms^{- 1}

) through a small hole on the side wall of the cylinder near its bottom, is
(a) 10
(b) 20
(c)

25.5

(d) 5

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Exp. (d)
Applying Bernoullis the theorem just inside and outside the hole. Take reference line
for gravitational potential energy at the bottom of the the bottom of the vessel.
Let

p_{0}

be the atmospheric pressure,

ρ

be the density of liquid and

v

be the velocity at which water is coming out.

p_{in s i d e} + ρ g h + 0 = p_{o u t s i d e} + \frac{ρ v ^{2}}{2}

\Rightarrow p_{0} + ρ g h = p_{0} + \frac{ρ v ^{2}}{2}

v = 2 g h = 2 \times 10 \times 20 = 20 ms

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Question Text	A cylinder of height $20 m$ is completely filled with water. The velocity of efflux of water (in $ms^{- 1}$ ) through a small hole on the side wall of the cylinder near its bottom, is (a) 10 (b) 20 (c) $25.5$ (d) 5
Updated On	Apr 22, 2023
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 5
Upvotes	544
Avg. Video Duration	8 min

A cylinder of height $20 m$ is completely filled with water. The velocity of efflux of water (in $ms^{- 1}$ ) through a small hole on the side wall of the cylinder near its bottom, is
(a) 10
(b) 20
(c) $25.5$
(d) 5

Text solutionVerified

Filo tutor solutions (5)

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A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms−1 ) through a small hole on the side wall of the cylinder near its bottom, is(a) 10(b) 20(c) 25.5(d) 5

Text solutionVerified

Filo tutor solutions (5)

Questions from JEE Mains 2004 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Mechanical Properties of Fluids in the same exam

Practice more questions from Mechanical Properties of Fluids

Practice questions on similar concepts asked by Filo students

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A cylinder of height $20 m$ is completely filled with water. The velocity of efflux of water (in $ms^{- 1}$ ) through a small hole on the side wall of the cylinder near its bottom, is
(a) 10
(b) 20
(c) $25.5$
(d) 5