The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel, is equal to
  • A
    Half of the radius of the vessel
  • B
    Radius of the vessel
  • C
    One-fourth of the radius of the vessel
  • D
    Three-fourth of the radius of the vessel
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
    Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density $984 \;kg m^{-3}$. Determine the height (in $m$) of the wine column for normal atmospheric pressure.
    View Solution
  • 2
    A copper ball of radius $'r'$ travels with a uniform speed $'v'$ in a viscous fluid. If the ball is changed with another ball of radius $'2r'$ , then new uniform speed will be
    View Solution
  • 3
    A $U$ tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of $10\,\, mm$ above the water level on the other side. Meanwhile the water rises by $65\,\, mm$ from its original level (see diagram). The density of the oil is ......... $kg/m^3$
    View Solution
  • 4
    An $ L-$ shaped tube with a small orifice is held in a water stream as shown in fig. The upper end of the tube is $ 10.6 cm$  above the surface of water. ....... $cm$ will be the height of the jet of water coming from the orifice ? Velocity of water stream is $2.45 m/s$ 
    View Solution
  • 5
    During a blood transfusion a needle is inserted in a vein where the gauge pressure is $2000\,Pa$. At what height must the blood container be placed so that blood may just enter the vein ?

    [Density of blood $= 1.06 \times 10^3\,kgm^{-3}$ ].

    View Solution
  • 6
    A boy carries a fish in one hand and a bucket(not full) of water in the other hand . If he places the fish in the bucket , the weight now carried by him (assume that water does not spill) :
    View Solution
  • 7
    A hot air balloon is carrying some passengers, and a few sandbags of mass $1 kg$ each so that its total mass is $480 kg$. Its effective volume giving the balloon its buoyancy is $V$. The balloon is floating at an equilibrium height of $100 m$. When $N$ number of sandbags are thrown out, the balloon rises to a new equilibrium height close to $150 m$ with its volume $V$ remaining unchanged. If the variation of the density of air with height $h$ from the ground is $\rho(h)=\rho_0 e^{-\frac{h}{h_0}}$, where $\rho_0=1.25 kg m ^{-3}$ and $h _0=6000 m$, the value of $N$ is. . . . . 
    View Solution
  • 8
    A wide vessel with a small hole at the bottom is filled with two liquids. The density and heightof one liquid are $\rho_1$ and $h_1$ and that of the otherare  $\rho_2$ and $h_2 \ (\rho_1 >\rho_2)$. The velocity of liquid coming out of the hole is :
    View Solution
  • 9
    A solid sphere of specific gravity $27$ has a concentric spherical cavity and it just sinks in water. The ratio of cavity radius to that of outer radius of sphere is
    View Solution
  • 10
    Two communicating vessels contain mercury. The diameter of one vessel is $n$ times larger than the diameter of the other. A column of water of height $ h$  is poured into the left vessel. The mercury level will rise in the right-hand vessel ($s =$ relative density of mercury and $\rho  = $ density of water) by
    View Solution