The water is filled upto height of $12\, {m}$ in a tank having vertical sidewalls. A hole is made in one of the walls at a depth $'{h}'$ below the water level. The value of $'h'$ for which the emerging stream of water strikes the ground at the maximum range is $.....\,{m}$.
JEE MAIN 2021, Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Consider the wall of a dam to be straight with height $H$ and length $L$. It holds a lake of water of height $h (h < H)$ on one side. Let the density of water be $\rho_{ w }$. Denote the torque about the axis along the bottom length of the wall by $\tau_1$. Denote also a similar torque due to the water up to height $h / 2$ and wall length $L / 2$ by $\tau_2$. Then $\tau_1 / \tau_2$ (ignore atmospheric pressure) isView Solution
- 2The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be $75 cm$ of $Hg $ and the density of water to be $1/10$ of the density of mercury, the depth of the lake is ....... $m$View Solution
- 3View SolutionA good lubricant should have
- 4Water falls down a $500.0 \,m$ shaft to reach a turbine which generates electricity. ................ $m^3$ water must fall per second in order to generate $1.00 \times 10^9 \,W$ of power ? (Assume $50 \%$ efficiency of conversion and $\left.g=10 \,ms ^{-2}\right)$View Solution
- 5Three liquids of densities $d,\,2d$ and $3d$ are mixed in equal proportions of weights. The relative density of the mixture isView Solution
- 6View SolutionA wooden cylinder floats vertically in water with half of its length immersed. The density of wood is
- 7A square gate of size $1\,m \times 1\,m$ is hinged at its mid-point. A fluid of density $\rho$ fills the space to the left of the gate. The force F required to hold the gate stationary isView Solution
- 8Under a pressure head the rate of orderly volume flow of a liquid through a capillary tube is $Q$ . If the length of capillary tube is doubled and the diameter of tube is halved, the rate of flow would becomeView Solution
- 9View SolutionAn open cubical tank was initially fully filled with water. When the tank was accelerated on a horizontal plane along one of its side it was found that one third of volume of water spilled out. The acceleration was
- 10Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $P_0$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitudeView Solution
