(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 Fluid Mechanics and Surface Tension 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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Class 11

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Fluid Mechanics and Surface Tension

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Velocity of Efflux and Torricelli's law

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AIIMS 2014 Paper All AIIMS years →

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DifficultTS EAMCET 2002

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$A$ tank is filled up to a height $h$ with a liquid and is placed on a platform of height $h$ from the ground. To get the maximum range $x_m$,a small hole is punched at a distance of $y$ from the free surface of the liquid. Then:

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There are two holes, one each along the opposite sides of a wide rectangular tank. The cross-section of each hole is $0.01 \,m^2$ and the vertical distance between the holes is $1 \,m$. The tank is filled with water. The net force on the tank in newton when the water flows out of the holes is (Density of water $= 1000 \,kg/m^3$, $g = 10 \,m/s^2$)

DifficultAP EAMCET 2004

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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 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:

Water flows into a cylindrical vessel of large cross-sectional area at a rate of $10^{-4} \; m^3/s$. It flows out from a hole of area $10^{-4} \; m^2$, which has been punched through the base. How high does the water rise in the vessel (in $; m$)?

$A$ tank is filled up to a height $h$ with a liquid and is placed on a platform of height $h$ from the ground. To get the maximum range $x_m$,a small hole is punched at a distance of $y$ from the free surface of the liquid. Then:

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