(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 $g$)

TS EAMCET 2025 All TS EAMCET

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

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Class 11 Questions

Class 11

Physics Questions

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Fluid Mechanics and Surface Tension

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Velocity of Efflux and Torricelli's law

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MediumAP EAMCET 2001

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MediumAP EAMCET 2024

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MediumAIIMS 2008

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Equal volumes of two immiscible liquids of densities $\rho$ and $2\rho$ are filled in a vessel as shown in the figure. Two small holes are punched at depths $h/2$ and $3h/2$ from the surface of the lighter liquid. If $v_1$ and $v_2$ are the velocities of efflux at these two holes,then $v_1/v_2$ is:

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$A$ cylindrical container containing water has a small hole at a height of $H = 8 \text{ cm}$ from the bottom and at a depth of $h = 2 \text{ cm}$ from the top surface of the liquid. The horizontal distance (range) travelled by the water before it hits the ground is:

MediumKCET 2019

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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 the time taken for the level to fall from $h$ to $h/2$ and that taken for the level to fall from $h/2$ to $0$ is:

Equal volumes of two immiscible liquids of densities $\rho$ and $2\rho$ are filled in a vessel as shown in the figure. Two small holes are punched at depths $h/2$ and $3h/2$ from the surface of the lighter liquid. If $v_1$ and $v_2$ are the velocities of efflux at these two holes,then $v_1/v_2$ is:

$A$ cylindrical container containing water has a small hole at a height of $H = 8 \text{ cm}$ from the bottom and at a depth of $h = 2 \text{ cm}$ from the top surface of the liquid. The horizontal distance (range) travelled by the water before it hits the ground is:

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