(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 Mechanical Properties of Fluids 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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Mechanical Properties of Fluids

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Velocity of Efflux and Torricelli's law

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MediumAP EAMCET 2021

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MediumAP 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 of $1 \, m$. $A$ hole is made at a distance of $20 \, cm$ from the top. Find the horizontal distance from the base of the tank where the water strikes the ground in $cm$.

$A$ large tank is filled with water to a height $H$. $A$ small hole is made at the base of the tank. It takes $T_1$ time to decrease the height of water to $H/\eta$ (where $\eta > 1$),and it takes $T_2$ time to drain the rest of the water. If $T_1 = T_2$,then the value of $\eta$ is:

$A$ vessel completely filled with water has holes $A$ and $B$ at depths $h$ and $3h$ from the top respectively. The hole $A$ is a square of side $L$ and $B$ is a circle of radius $r$. The water flowing out per second from both the holes is same. Then $L$ is equal to

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