(A) Let the total height of the tank be $H = 10\,m$. The holes are at heights $h_1 = 3\,m$ and $h_2 = 7\,m$ from the base.The depth of the holes from

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

both the holes will fall at the same spot

(A) Let the total height of the tank be $H = 10\,m$. The holes are at heights $h_1 = 3\,m$ and $h_2 = 7\,m$ from the base.The depth of the holes from the top surface are $y_1 = H - h_1 = 10 - 3 = 7\,m$ and $y_2 = H - h_2 = 10 - 7 = 3\,m$.The horizontal range $R$ of water issuing from a hole at depth $y$ is given by $R = 2\sqrt{y(H-y)}$.For the first hole $(y_1 = 7\,m)$: $R_1 = 2\sqrt{7(10-7)} = 2\sqrt{7 \times 3} = 2\sqrt{21}\,m$.For the second hole $(y_2 = 3\,m)$: $R_2 = 2\sqrt{3(10-3)} = 2\sqrt{3 \times 7} = 2\sqrt{21}\,m$.Since $R_1 = R_2$,the water from both holes will fall at the same spot.

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

Difficult

$A$ water tank of height $10\,m$,completely filled with water,is placed on a level ground. It has two holes,one at $3\,m$ and the other at $7\,m$ from its base. The water ejecting from:

AIIMS 2014 All AIIMS

A
both the holes will fall at the same spot
B
upper hole will fall farther than that from the lower hole
C
upper hole will fall closer than that from the lower hole
D
more information is required

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

Previous Year

AIIMS 2014 Paper All AIIMS years →

$A$ tank is filled up to a height $2H$ with a liquid and is placed on a platform of height $H$ from the ground. The distance $x$ from the ground where a small hole is punched to get the maximum range $R$ is:

Medium

View Solution

$A$ cylindrical tank of height $0.4\,m$ is open at the top and has a diameter $0.16\,m$. Water is filled in it up to a height of $0.16\,m$. How long will it take to empty the tank through a hole of radius $5 \times 10^{-3}\,m$ in its bottom? (in seconds)

Difficult

View Solution

The top of a water tank is open to air and its water level is maintained. It is discharging $0.74\,m^3$ of water per minute through a circular opening of $2\,cm$ radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to........ $m$

MediumJEE MAIN 2019

View Solution

Tanks $A$ and $B$ open at the top contain two different liquids up to a certain height. $A$ hole is made in the wall of each tank at a depth $h$ from the surface of the liquid. The area of the hole in $B$ is twice that of the hole in $A$. If the liquid mass flux through each hole is equal,then the ratio of the densities of the liquids,$\rho_A / \rho_B$,is:

EasyTS EAMCET 2002

View Solution

$A$ large vessel completely filled with water has two holes '$A$' and '$B$' at depths '$h$' and '$4h$' from the top. Hole '$A$' is a square of side '$L$' and hole '$B$' is a circle of radius '$R$'. If the same quantity of water is flowing per second from both holes,then the side of the square hole is:

MediumMHT CET 2020

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

$A$ water tank of height $10\,m$,completely filled with water,is placed on a level ground. It has two holes,one at $3\,m$ and the other at $7\,m$ from its base. The water ejecting from:

Similar Questions

$A$ tank is filled up to a height $2H$ with a liquid and is placed on a platform of height $H$ from the ground. The distance $x$ from the ground where a small hole is punched to get the maximum range $R$ is:

$A$ cylindrical tank of height $0.4\,m$ is open at the top and has a diameter $0.16\,m$. Water is filled in it up to a height of $0.16\,m$. How long will it take to empty the tank through a hole of radius $5 \times 10^{-3}\,m$ in its bottom? (in seconds)

The top of a water tank is open to air and its water level is maintained. It is discharging $0.74\,m^3$ of water per minute through a circular opening of $2\,cm$ radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to........ $m$

Vedclass Test Series

Exam Paper Generator

Online Exam Module