If a small orifice is made at a height of $0.25\, m$ from the ground, the horizontal range of water stream will be, (in $cm$)
AIIMS 2019, Diffcult
Download our app for free and get started
The initial velocity of the water stream is given as,
$v=\sqrt{2 g(H-h)}$
The time taken by stream to hit the surface is,
$h=\frac{1}{2} g t^{2}$
$t=\sqrt{\frac{2 h}{g}}$
The horizontal range can be calculated as,
Horizontal range $=v t$
$=\sqrt{2 g(H-h)} \times \sqrt{\frac{2 h}{g}}$
$=2 \sqrt{(H-h) h}$
$=2 \sqrt{(1-0.25)(0.25)}$
$=0.866 m$
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
- 1View SolutionA wooden cylinder floats vertically in water with half of its length immersed. The density of wood is
- 2A flat plate of area $0.1 \,m ^2$ is placed on a flat surface and is separated from it by a film of oil $10^{-5} \,m$ thick whose coefficient of viscosity is $1.5 N \,sm s ^{-2}$. The force required to cause the plate to slide on the surface at constant speed of $1 \,mm s ^{-1}$ is ............ $N$View Solution
- 3A hollow sphere has inner volume half the outer volume. Its $4/5\,th$ part is submerged when placed in water. The density of material isView Solution
- 4Two immiscible liquids $A$ and $B$ are kept in an U-tube. If the density of liquid $A$ is smaller than the density of liquid $B$, then the equilibrium situation isView Solution
- 5View SolutionA large ship can float but a steel needle sinks because of
- 6Two stretched membranes of area $2\, cm^2$ and $3\, cm^2$ are placed in a liquid at the same depth. The ratio of pressures on them isView Solution
- 7An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are $6.4 \;\mathrm{cm}$ and $4.8 \;\mathrm{cm},$ respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:View Solution
- 8View SolutionAn ice cube contains a large air bubble. The cube is floating on the horizontal surface of water contained in a trough. What will happen to the water level, when the cube melts?
- 9Water is flowing through a channel (lying in a vertical plane) as shown in the figure. Three sections $A, B$ and $C$ are shown. Sections $B$ and $C$ have equal area of cross section. If $P_A, P_B$ and $P_C$ are the pressures at $A, B$ and $C$ respectively thenView Solution
- 10A cubical block of steel of each side equal to $l$ is floating on mercury in a vessel. The densities of steel and mercury ar $\rho _s$ and $\rho _m$ . The height of the block above the mercury level is given byView Solution