A closed vessel have a small hole in one face of vessel near the bottom as shown. The velocity of water coming out from the given hole at given instant is ....... $m/s$
  • A$5$
  • B$2$
  • C$3$
  • D$3\sqrt 5$
Medium
art

Download our app
and 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

  • 1
    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?
    View Solution
  • 2
    A hydraulic automobile lift is designed to lift cars with a maximum mass of $3000\; kg$. The area of cross-section of the piston carrying the load is $425 \;cm ^{2} .$ What maximum pressure would the smaller piston have to bear?
    View Solution
  • 3
    A cubical block of side $'a'$ and density $'\rho '$ slides over a fixed inclined plane with constant velocity $'v'$ . There is a thin film of viscous fluid of thickness $'t'$ between the plane and the block. Then the coefficient of viscosity of the thin film will be
    View Solution
  • 4
    A submarine experiences a pressure of $5.05\times 10^6\,Pa$ at a depth of $d_1$ in a sea. When it goes further to a depth of $d_2,$ it experiences a pressure of $8.08\times 10^6\,Pa.$ Then $d_2 -d_1$ is approximately ........ $m$ (density of water $= 10^3\,kg/m^3$ and acceleration due to gravity $= 10\,ms^{-2}$ )
    View Solution
  • 5
    A liquid of density $\rho $ is coming out of a hose pipe of radius $a$ with horizontal speed $v$ and hits a mesh. $50\%$ of the liquid passes through the mesh unaffected. $25\%$ looses all of its momentum and $25\%$ comes back with the same speed. The resultant pressure on the mesh will be
    View Solution
  • 6
    A cube of ice has a iron piece fronzen unside at. The cube floats un a beakerfilled with water, when the ice melts then, the level of water in beaker.
    View Solution
  • 7
    Water $\left(\rho=1000 \,kg / m ^3\right)$ and kerosene $\left(\sigma=800 \,kg / m ^3\right)$ are filled in two identical cylindrical vessels. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are $v_1$ and $v_2$ respectively. Select the correct alternative
    View Solution
  • 8
    A container of liquid release from the rest, on a smooth inclined plane as shown in the figure. Length of at the inclined plane is sufficient, and assume liquid finally equilibrium. Finally liquid surface makes an angle with horizontal ...... $^o$
    View Solution
  • 9
    A cylindrical vessel filled with water upto height of $H$ stands on a horizontal plane. The side wall of the vessel has a plugged circular hole touching the bottom. The coefficient of friction between the bottom of vessel and plane is $\mu$ and total mass of water plus vessel is $M$. What should be minimum diameter of hole so that the vessel begins to move on the floor if plug is removed (here density of water is $\rho$ )
    View Solution
  • 10
    A very large block of ice of the size of a volleyball court and of uniform thickness of $8 \,m$ is floating on water. A person standing near its edge wishes to fetch a bucketful of water using a rope. The smallest length of rope required for this is about ............... $m$
    View Solution