(D) The thrust exerted by the water on the wall is equal to the rate of change of linear momentum.Thrust $F = \frac{dp}{dt} = \dot{m}v$,where $\dot{m}

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

(D) The thrust exerted by the water on the wall is equal to the rate of change of linear momentum.Thrust $F = \frac{dp}{dt} = \dot{m}v$,where $\dot{m}$ is the mass flow rate.Since $\dot{m} = \rho A v$,we have $F = (\rho A v) v = \rho A v^2$.Thus,$F \propto v^2$. When speed is increased from $v$ to $2v$,the thrust becomes $(2)^2 = 4$ times the original value.Energy lost per second $P = \frac{1}{2} \dot{m} v^2 = \frac{1}{2} (\rho A v) v^2 = \frac{1}{2} \rho A v^3$.Thus,$P \propto v^3$. When speed is increased from $v$ to $2v$,the energy lost per second becomes $(2)^3 = 8$ times the original value.Therefore,both options $B$ and $C$ are correct.

Class 11 Physics Fluid Mechanics and Surface Tension Mix Examples-Fluid Mechanics and Surface Tension

Medium

Water coming out of a horizontal tube at a speed $v$ strikes a vertical wall normally,close to the mouth of the tube,and falls down vertically after impact. When the speed of water is increased to $2v$:

A
the thrust exerted by the water on the wall will be doubled.
B
the thrust exerted by the water on the wall will be four times.
C
the energy lost per second by water striking the wall will be increased eight times.
D
$B$ and $C$ both.

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Fluid Mechanics and Surface Tension

Subtopic

Mix Examples-Fluid Mechanics and Surface Tension

Match column-$I$ with column-$II$.

Column-$I$ Column-$II$

$(A)$ Hydraulic lift $(P)$ Archimedes' principle

$(B)$ Razor blade can be made to float on the surface of water $(Q)$ Pascal's law

$(C)$ The dam of a reservoir is made thick at the bottom $(R)$ Surface tension

$(D)$ Ship is floating on the ocean $(S)$ Pressure

Column-$I$	Column-$II$
$(A)$ Hydraulic lift	$(P)$ Archimedes' principle
$(B)$ Razor blade can be made to float on the surface of water	$(Q)$ Pascal's law
$(C)$ The dam of a reservoir is made thick at the bottom	$(R)$ Surface tension
$(D)$ Ship is floating on the ocean	$(S)$ Pressure

Easy

View Solution

The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be $75 \ cm$ of $Hg$ and the density of water to be $1/10$ of the density of mercury,the depth of the lake is ....... $m$.

Medium

View Solution

$A$ liquid drop of density $\rho$ is floating half-immersed in a liquid of density $d$. If $T$ is the surface tension,then the diameter of the liquid drop is ($g$ = acceleration due to gravity).

DifficultMHT CET 2024

View Solution

Fill in the blanks:
$(i)$ The surface tension of water at critical temperature is ......
$(ii)$ Bernoulli's equation is based on the conservation of ......
$(iii)$ The energy would be ...... if $1$ large drop of water splits into $8$ small drops of water.
$(iv)$ When strong wind passes over a building,the force acting on the building is in the ......

Medium

View Solution

$A$ cylinder of radius $4 \ cm$ and height $10 \ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$. $2 \ cm$ of the cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.

Medium

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

Water coming out of a horizontal tube at a speed $v$ strikes a vertical wall normally,close to the mouth of the tube,and falls down vertically after impact. When the speed of water is increased to $2v$:

Similar Questions

The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be $75 \ cm$ of $Hg$ and the density of water to be $1/10$ of the density of mercury,the depth of the lake is ....... $m$.

$A$ liquid drop of density $\rho$ is floating half-immersed in a liquid of density $d$. If $T$ is the surface tension,then the diameter of the liquid drop is ($g$ = acceleration due to gravity).

$A$ cylinder of radius $4 \ cm$ and height $10 \ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$. $2 \ cm$ of the cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.

Vedclass Test Series

Exam Paper Generator

Online Exam Module