(B) The rate of flow of water through a hole at the bottom of a bucket is given by Torricelli's Law,$v = \sqrt{2gh_{eff}}$,where $h_{eff}$ is the effe

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(B) The rate of flow of water through a hole at the bottom of a bucket is given by Torricelli's Law,$v = \sqrt{2gh_{eff}}$,where $h_{eff}$ is the effective acceleration due to gravity.In a stationary lift,the effective acceleration is $g_{eff} = g$. Thus,$R_0 \propto \sqrt{g}$.When the lift moves upward with acceleration $a$,the effective gravity becomes $g_{eff} = g + a$. Since $g + a > g$,the rate of flow $R_u$ increases,so $R_u > R_0$.When the lift moves downward with acceleration $a$,the effective gravity becomes $g_{eff} = g - a$. Since $g - a Combining these,we get $R_u > R_0 > R_d$.

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

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If in a stationary lift,a man is standing with a bucket full of water,having a hole at its bottom. The rate of flow of water through this hole is $R_0$. If the lift starts to move up and down with the same acceleration $a$,and the rates of flow of water are $R_u$ and $R_d$ respectively,then:

A
$R_0 > R_u > R_d$
B
$R_u > R_0 > R_d$
C
$R_d > R_0 > R_u$
D
$R_u > R_d > R_0$

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Class 11

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Fluid Mechanics and Surface Tension

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Velocity of Efflux and Torricelli's law

$A$ tube is attached as shown in a closed vessel containing water. The velocity of water coming out from a small hole is:

Medium

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The water is filled up to a height of $12\, \text{m}$ in a tank having vertical sidewalls. $A$ hole is made in one of the walls at a depth $h$ below the water level. The value of $h$ for which the emerging stream of water strikes the ground at the maximum range is $.....\, \text{m}$.

MediumJEE MAIN 2021

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$A$ cylindrical vessel of $90 \ cm$ height is kept filled up to the brim. It has four holes $1, 2, 3, 4$ which are respectively at heights of $20 \ cm, 30 \ cm, 45 \ cm,$ and $50 \ cm$ from the horizontal floor $PQ.$ The water falling at the maximum horizontal distance from the vessel comes from:

Medium

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$A$ 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

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Water flows into a large tank with a flat bottom at the rate of $10^{-4} \, m^3 s^{-1}$. Water is also leaking out of a hole of area $1 \, cm^2$ at its bottom. If the height of the water in the tank remains steady, then this height is ........ $cm$.

MediumJEE MAIN 2019

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If in a stationary lift,a man is standing with a bucket full of water,having a hole at its bottom. The rate of flow of water through this hole is $R_0$. If the lift starts to move up and down with the same acceleration $a$,and the rates of flow of water are $R_u$ and $R_d$ respectively,then:

Similar Questions

$A$ tube is attached as shown in a closed vessel containing water. The velocity of water coming out from a small hole is:

The water is filled up to a height of $12\, \text{m}$ in a tank having vertical sidewalls. $A$ hole is made in one of the walls at a depth $h$ below the water level. The value of $h$ for which the emerging stream of water strikes the ground at the maximum range is $.....\, \text{m}$.

$A$ cylindrical vessel of $90 \ cm$ height is kept filled up to the brim. It has four holes $1, 2, 3, 4$ which are respectively at heights of $20 \ cm, 30 \ cm, 45 \ cm,$ and $50 \ cm$ from the horizontal floor $PQ.$ The water falling at the maximum horizontal distance from the vessel comes from:

Water flows into a large tank with a flat bottom at the rate of $10^{-4} \, m^3 s^{-1}$. Water is also leaking out of a hole of area $1 \, cm^2$ at its bottom. If the height of the water in the tank remains steady, then this height is ........ $cm$.

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