(A) The height of the water level above the hole is $D$. The height of the hole above the ground is $(H-D)$.Using Torricelli's law,the velocity of the

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) The height of the water level above the hole is $D$. The height of the hole above the ground is $(H-D)$.Using Torricelli's law,the velocity of the water jet emerging from the hole is $v = \sqrt{2gD}$.The time $t$ taken by the water jet to reach the ground from the height $(H-D)$ is given by the equation of motion $S = ut + \frac{1}{2}at^2$,where $S = H-D$,$u = 0$,and $a = g$.$H-D = 0 + \frac{1}{2}gt^2 \implies t = \sqrt{\frac{2(H-D)}{g}}$.The horizontal distance $x$ (range) is the product of horizontal velocity and time:$x = v \times t = \sqrt{2gD} \times \sqrt{\frac{2(H-D)}{g}}$.$x = \sqrt{2gD \times \frac{2(H-D)}{g}} = \sqrt{4D(H-D)} = 2\sqrt{D(H-D)}$.

Class 11 Physics Fluid Mechanics and Surface Tension Velocity of Efflux and Torricelli's law

Difficult

$A$ rectangular tank is placed on a horizontal ground and is filled with water to a height $H$ above the base. $A$ small hole is made on one vertical side at a depth $D$ below the level of the water in the tank. The distance $x$ from the bottom of the tank at which the water jet from the tank will hit the ground is

A
$2\sqrt{D(H-D)}$
B
$2\sqrt{DH}$
C
$2\sqrt{D(H+D)}$
D
$\frac{1}{2}\sqrt{DH}$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Fluid Mechanics and Surface Tension

Subtopic

Velocity of Efflux and Torricelli's law

$A$ tank filled with fresh water has a hole in its bottom and water is flowing out of it. If the size of the hole is increased,then

Easy

View Solution

$A$ wide cylindrical vessel $50 \ cm$ in height is filled with water and rests on a table. Assuming the viscosity to be negligible, find at what height from the bottom of the vessel a small hole should be made for the water jet coming out of it to hit the surface of the table at the maximum horizontal distance from the vessel. (in $cm$)

EasyTS EAMCET 2022

View Solution

$A$ large tank is filled with water (density $= 10^3 \ kg/m^3$). $A$ small hole is made at a depth $10 \ m$ below the water surface. The range of water issuing out of the hole is $R$ on the ground. What extra pressure must be applied on the water surface so that the range becomes $2R$? (Take $1 \ atm = 10^5 \ Pa$ and $g = 10 \ m/s^2$)

Difficult

View Solution

$A$ light cylindrical vessel is kept on a horizontal surface. The area of the base is $A$. $A$ hole of cross-sectional area $a$ is made just at its bottom side. The minimum coefficient of friction necessary to prevent the vessel from sliding due to the impact force of the emerging liquid is $(a \ll A)$.

DifficultJEE MAIN 2021

View Solution

$A$ tank with vertical walls is mounted so that its base is at a height $H$ above the horizontal ground. The tank is filled with water to a depth $h$. $A$ hole is punched in the side wall of the tank at a depth $x$ below the water surface. To have maximum range of the emerging stream,the value of $x$ is

MediumAP EAMCET 2001

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$A$ tank filled with fresh water has a hole in its bottom and water is flowing out of it. If the size of the hole is increased,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module