A tube is attached as shown in closed vessel containing water. The velocity of water coming out from a small hole is :
Medium
Download our app for free and get started
The problem can be simply treated as, water entering a tube and leaving through a hole of lower cross section at different depth.
Applying bernoulli's theorem,
$P^{0}+\frac{1}{2} \rho v^{2}=P^{0}+\rho g h$
$v=(2 g h)^{\frac{1}{2}}$
$=2 m s^{-1}$
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
- 1An open-ended $U$-tube of uniform cross-sectional area contains water (density $1.0 $ gram/centimeter$^3$) standing initially $20$ centimeters from the bottom in each arm. An immiscible liquid of density $4.0$ grams/ centimeter $^3$ is added to one arm until a layer $5$ centimeters high forms, as shown in the figure above. What is the ratio $h_2/h_1$ of the heights of the liquid in the two arms?View Solution
- 2If velocity of flow is $4 \,m / s$, then velocity head is .........$m$View Solution
- 3An aeroplane of mass $3 \times 10^4\,kg$ and total wing area of $120\,m^2$ is in a level flight at some height. The difference in pressure between the upper and lower surfaces of its wings in kilopascals is........... $kPa$ $(g=10\,m/s^2)$View Solution
- 4View SolutionThe displacement of a ball falling from rest in a viscous medium is platted against time. Choose a possible option
- 5View SolutionThe three water filled tanks shown have the same volume and height. If small identical holes are punched near this bottom, which one will be the first to get empty.
- 6Alaminar stream is flowing vertically down from a tap of cross-section area $1$ $cm^2$. At a distance $10 $ $cm$ below the tap, the cross-section area of the stream has reduced to $1/2$ $cm^2$. The volumetric flow rate of water from the tap must be about ........ $litre/\min$View Solution
- 7Karman line is a theoretical construct that separates the earth's atmosphere from outer space. It is defined to be the height at which the lift on an aircraft flying at the speed of a polar satellite $(8 \,km / s )$ is equal to its weight. Taking a fighter aircraft of wing area $30 \,m ^2$, and mass $7500 \,kg$, the height of the Karman line above the ground will be in the range .............. $km$ (assume the density of air at height $h$ above ground to be $\rho( h )=1.2 e ^{\frac{ h }{10}} \,kg / m ^3$ where $h$ is in $km$ and the lift force to be $\frac{1}{2} \rho v^2 A$, where $v$ is the speed of the aircraft and $A$ its wing area).View Solution
- 8Sixty four spherical rain drops of equal size are falling vertically through air with terminal velocity $1.5\, m/s$. All of the drops coalesce to form a big spherical drop, then terminal velocity of big drop is ........... $m/s$View Solution
- 9The vertical limbs of a $U$ shaped tube are filled with a liquid of density $\rho$ upto a height $h$ on each side. The horizontal portion of the $U$ tube having length $2h$ contains a liquid of density $2\rho$ . The $U$ tube is moved horizontally with an accelerator $g/2$ parallel to the horizontal arm. The difference in heights in liquid levels in the two vertical limbs, at steady state will beView Solution
- 10View SolutionTwo pieces of metal when immersed in a liquid have equal upthrust on them; then