(A) Let the total height of the tank be $H = 10\,m$. The holes are at heights $h_1 = 3\,m$ and $h_2 = 7\,m$ from the base.The depth of the holes from

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both the holes will fall at the same spot

(A) Let the total height of the tank be $H = 10\,m$. The holes are at heights $h_1 = 3\,m$ and $h_2 = 7\,m$ from the base.The depth of the holes from the top surface are $y_1 = H - h_1 = 10 - 3 = 7\,m$ and $y_2 = H - h_2 = 10 - 7 = 3\,m$.The horizontal range $R$ of water issuing from a hole at depth $y$ is given by $R = 2\sqrt{y(H-y)}$.For the first hole $(y_1 = 7\,m)$: $R_1 = 2\sqrt{7(10-7)} = 2\sqrt{7 \times 3} = 2\sqrt{21}\,m$.For the second hole $(y_2 = 3\,m)$: $R_2 = 2\sqrt{3(10-3)} = 2\sqrt{3 \times 7} = 2\sqrt{21}\,m$.Since $R_1 = R_2$,the water from both holes will fall at the same spot.

Class 11 Physics Mechanical Properties of Fluids Velocity of Efflux and Torricelli's law

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$A$ water tank of height $10\,m$,completely filled with water,is placed on a level ground. It has two holes,one at $3\,m$ and the other at $7\,m$ from its base. The water ejecting from:

AIIMS 2014 All AIIMS

A
both the holes will fall at the same spot
B
upper hole will fall farther than that from the lower hole
C
upper hole will fall closer than that from the lower hole
D
more information is required

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Mechanical Properties of Fluids

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Velocity of Efflux and Torricelli's law

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Give the meaning of efflux.

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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:

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Water is filled in a container up to a height of $3\,m$. $A$ small hole of area $A_0$ is punched in the wall of the container at a height of $52.5\,cm$ from the bottom. The cross-sectional area of the container is $A$. If $A_0/A = 0.1$,then $v^2$ is......... $m^2/s^2$ (where $v$ is the velocity of water coming out of the hole).

MediumAIIMS 2008

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$A$ water tank of height $10\,m$,completely filled with water,is placed on a level ground. It has two holes,one at $3\,m$ and the other at $7\,m$ from its base. The water ejecting from:

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$A$ large open-top water tank is completely filled with water. $A$ small hole of diameter $4 \,mm$ is made $10 \,m$ below the water level. The flow rate of water through the hole is (Acceleration due to gravity $= 10 \,m/s^2$)

Give the meaning of efflux.

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:

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