(C) Let $d_w$ and $d_o$ be the densities of water and oil respectively. The pressure at the bottom of the tank is given by $P = h_w d_w g + h_o d_o g$

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$\sqrt{920 \times 980} \, cm/s$

(C) Let $d_w$ and $d_o$ be the densities of water and oil respectively. The pressure at the bottom of the tank is given by $P = h_w d_w g + h_o d_o g$.We can find the equivalent height $h$ of a water column that exerts the same pressure at the bottom: $h d_w g = h_w d_w g + h_o d_o g$.Substituting the given values: $h = h_w + \frac{h_o d_o}{d_w} = 100 + \frac{400 \times 0.9}{1} = 100 + 360 = 460 \, cm$.According to Torricelli's theorem,the velocity of efflux $v$ is given by $v = \sqrt{2gh}$.Substituting the values: $v = \sqrt{2 \times 980 \times 460} = \sqrt{920 \times 980} \, cm/s$.

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

Difficult

$A$ tank is filled with water of density $1 \, g/cm^3$ and oil of density $0.9 \, g/cm^3$. The height of the water layer is $100 \, cm$ and the height of the oil layer is $400 \, cm$. If $g = 980 \, cm/s^2$,then the velocity of efflux from an opening in the bottom of the tank is

A
$\sqrt{900 \times 980} \, cm/s$
B
$\sqrt{1000 \times 980} \, cm/s$
C
$\sqrt{920 \times 980} \, cm/s$
D
$\sqrt{950 \times 980} \, cm/s$

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Fluid Mechanics and Surface Tension

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Velocity of Efflux and Torricelli's law

$A$ tank is filled with water up to a height $H$. Water is allowed to come out of a hole in one of the walls at a depth $D$ below the surface of water. Express the horizontal distance $x$ in terms of $H$ and $D$.

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MediumMHT CET 2025

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$A$ hole is made at the bottom of a tank filled with water (density $1000 \, kg/m^3$). If the total pressure at the bottom of the tank is $3 \, atm$ $(1 \, atm = 10^5 \, N/m^2)$,then the velocity of efflux is:

MediumAIIMS 2000

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$A$ cylindrical vessel of height $50 \,cm$ is filled with water and rests on a table. $A$ small hole is made at a height $h$ from the bottom of the vessel so that the water jet hits the table surface at a maximum distance $x_{\max }$ from the vessel as shown in the figure. The value of $x_{\max }$ will be (Neglect the viscosity of water.) (in $\,cm$)

DifficultTS EAMCET 2019

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$A$ tank is filled with water of density $1 \, g/cm^3$ and oil of density $0.9 \, g/cm^3$. The height of the water layer is $100 \, cm$ and the height of the oil layer is $400 \, cm$. If $g = 980 \, cm/s^2$,then the velocity of efflux from an opening in the bottom of the tank is

Similar Questions

$A$ tank is filled with water up to a height $H$. Water is allowed to come out of a hole in one of the walls at a depth $D$ below the surface of water. Express the horizontal distance $x$ in terms of $H$ and $D$.

$A$ vessel completely filled with water has two holes $P$ and $Q$ at depths $2h$ and $8h$ from the top,respectively. Hole $P$ is a square of side $a$ and hole $Q$ is a circle of radius $r$. If the volume of water flowing out per second from both holes is the same,then the side $a$ of hole $P$ is:

In a cylindrical vessel containing liquid of density $\rho$,there are two holes in the side walls at heights of $h_1$ and $h_2$ respectively,such that the range of efflux at the bottom of the vessel is the same. The height of a hole,for which the range of efflux would be maximum,is:

$A$ hole is made at the bottom of a tank filled with water (density $1000 \, kg/m^3$). If the total pressure at the bottom of the tank is $3 \, atm$ $(1 \, atm = 10^5 \, N/m^2)$,then the velocity of efflux is:

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