A uniform solid cylinder of density $0.8$ $g/cm^3$ floats in equilibrium in a combination of two non-mixing liquid $A$ and $B$ with its axis vertical. The densities of liquid $A$ and $B$ are $0.7$ $g/cm^3$ and $1.2$ $gm/cm^3$. The height of liquid $A$ is $h_A = 1.2$ $cm$ and the length of the part of cylinder immersed in liquid $B$ is $h_B = 0.8$ $cm$. Then the length part of the cylinder in air is ....... $cm$
  • A$0.21$
  • B$0.25$
  • C$0.35$
  • D$0.4$
Diffcult
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
    A hollow spherical shell at outer radius $R$ floats just submerged under the water surface. The inner radius of the shell is $r$. If the specific gravity of the shell material is $\frac{27}{8}$ $w.r.t.$ water, the value of $r$ is$......R$
    View Solution
  • 2
    In a test experiment on a model aeroplane in a wind tunnel, the flow speeds on the upper and lower surfaces of the wing are $70 \;m s ^{-1}$ and $63\; m s ^{-1}$ respectively. What is the lift on the wing if its area is $2.5 \;m ^{2}$ ? Take the density of atr to be $1.3\; kg m ^{-3} .$
    View Solution
  • 3
    For the situation shown in the figure, water flows on the surface of a fixed plate. The
    velocity of water as a function of distance $'y'$ is given as : $u = \alpha \left[ {\frac{y}{h} - 2{{\left( {\frac{y}{h}} \right)}^2}} \right]$ . Determine the magnitude of the shear stress that the water applies at the base of the plate. Coefficient of viscosity is $\eta$
    View Solution
  • 4
    A liquid disturbed by stirring comes to rest after some time due to its property of
    View Solution
  • 5
    A liquid is kept in a cylindrical vessel. When the vessel is rotated about its axis, the liquid rises at its sides. If the radius of the vessel is $0.05\,\, m$ and the speed of rotation is $2$ revolutions per second, the difference in the heights of the liquid at the centre and at the sides of the vessels will be ...... $cm.$ $($ take $g = 10\,\, ms^{-2}$ and $\pi^2 = 10)$
    View Solution
  • 6
    A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference $P$. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled is
    View Solution
  • 7
    Assertion $(A):$ The stream of water flowing at high speed from a garden hose, pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down.

    Reason $(R):$ In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

    View Solution
  • 8
    A piece of gold weighs $10 \,g$ in air and $9 \,g$ in water. What is the volume of cavity is $...... cc ($Density of gold $=19.3 \,g \ cm ^{-3} )$
    View Solution
  • 9
    Fig. represents vertical sections of four wings moving horizontally in air. In which case the force is upwards
    View Solution
  • 10
    The terminal velocity of a copper ball of radius $5\,mm$ falling through a tank of oil at room temperature is $10\,cm\,s ^{-1}$. If the viscosity of oil at room temperature is $0.9\,kg\,m ^{-1} s ^{-1}$, the viscous drag force is :
    View Solution