(B) The velocity of efflux $v$ is given by Torricelli's law: $v = \sqrt{2gh}$.Given: $h = 20 \ cm = 0.2 \ m$, $g = 10 \ m \ s^{-2}$.$v = \sqrt{2 \time

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(B) The velocity of efflux $v$ is given by Torricelli's law: $v = \sqrt{2gh}$.Given: $h = 20 \ cm = 0.2 \ m$, $g = 10 \ m \ s^{-2}$.$v = \sqrt{2 \times 10 \times 0.2} = \sqrt{4} = 2 \ m \ s^{-1}$.The volume of water flowing out per second is $Q = A \times v$, where $A = 1 \ mm^2 = 1 \times 10^{-6} \ m^2$.$Q = 1 \times 10^{-6} \ m^2 \times 2 \ m \ s^{-1} = 2 \times 10^{-6} \ m^3 \ s^{-1}$.The mass of water flowing out in time $t = 0.6 \ s$ is $m = \rho \times Q \times t$.$m = 1000 \ kg \ m^{-3} \times 2 \times 10^{-6} \ m^3 \ s^{-1} \times 0.6 \ s$.$m = 1000 \times 1.2 \times 10^{-6} \ kg = 1.2 \times 10^{-3} \ kg = 1.2 \ g$.

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

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Water is filled in a tank up to a height of $20 \ cm$ from the bottom of the tank. Water flows through a hole of area $1 \ mm^2$ at its bottom. The mass of the water coming out from the hole in a time of $0.6 \ s$ is (Density of water $= 1000 \ kg \ m^{-3}$ and acceleration due to gravity $= 10 \ m \ s^{-2}$) (in $g$)

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A
$1.8$
B
$1.2$
C
$0.6$
D
$2.4$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Fluid Mechanics and Surface Tension

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Velocity of Efflux and Torricelli's law

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$A$ closed vessel has a small hole in one face near the bottom,as shown in the figure. The velocity of water coming out from the hole at the given instant is ....... $m/s$. (Given: $P_{0} = 10^{5} \text{ N/m}^{2}$,$h = 9/4 \text{ m}$,density of water $\rho = 10^{3} \text{ kg/m}^{3}$,$g = 10 \text{ m/s}^{2}$)

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$A$ cylinder of height $20\;m$ is completely filled with water. The velocity of efflux of water (in $m/s$) through a small hole on the side wall of the cylinder near its bottom is ....... $m/s$.

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$A$ closed pipe containing liquid showed a pressure $P_{1}$ by gauge. When the valve is opened,the pressure was reduced to $P_{2}$. The speed of water flowing out of the pipe is $[\rho = \text{density of water}]$

MediumMHT CET 2020

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$A$ 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

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$A$ large tank filled with water to a height $h$ is to be emptied through a small hole at the bottom. The ratio of times taken for the level of water to fall from $h$ to $h/2$ and from $h/2$ to zero is

DifficultTS EAMCET 2003

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$A$ cylinder of height $20\;m$ is completely filled with water. The velocity of efflux of water (in $m/s$) through a small hole on the side wall of the cylinder near its bottom is ....... $m/s$.

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