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JEE Main 201226 MayOnline

Exam: JEE Main
Year: 2012
Date: 26 May
Mode: Online
Subject: Physics
Chapter: Mechanical Properties of Fluids

JEE Main 2012 · 26 May · Online · Physics · Mechanical Properties of Fluids

In a cylindrical water tank, there are two small holes A and B on...

In a cylindrical water tank, there are two small holes

A

and

B

on the wall at a depth of

h_1

, from the surface of water and at a height of

h_2

from the bottom of water tank. Surface of water is at height of

h_2

from the bottom of water tank. Surface of water is at heigh

H

from the bottom of water tank. Water coming out from both holes strikes the ground at the same point

S

. Find the ratio of

h_1

and

h_2

In a cylindrical water tank, there are two small holes A and B on the wall at a depth of h_1 , from the surface of

Options

ADepends on $H$
B $1: 1$
C $2: 2$
D $1: 2$

Correct answer

A. Depends on $H$

Step-by-step solution

Range is same for both holes \therefore 2

\sqrt{\left(\mathrm{H}-h_1\right) h_1}=2 \sqrt{\left(\mathrm{H}-h_2\right) h_2}

Squaring both sides,

\begin{aligned}& 4 \left(H-h_1\right)\mathrm{h}_{1}=4\left(H-h_2\right) h_2 \\ & H h_1-h_1^2=H h_2-h_2^2 \end{aligned}

On solving we get, H=h_1+h_2 Hence,

the

ratio of \frac{h_1}{h_2} depends on$ H.

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