A ball is made of a material of density $\rho$ where $\rho_{oil} < \rho < \rho_{water}$ with $\rho_{oil}$ and $\rho_{water}$ representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?
AIEEE 2010, Medium
Download our app for free and get startedPlay store
$\rho_{\text {oil }}<\rho<\rho_{\text {water }}$

Oil is the least dense of them so it should settle at the top with water at the base. Now the ball is denser than oil but less denser than water. So, it will sink through oil but will not sink in water. So it will stay at the oil-water interface.

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
    If two liquids of same volume but different densities ${\rho _1}$ and ${\rho _2}$ are mixed, then density of mixture is given by
    View Solution
  • 2
    A spherical marble of radius $1\, cm$ is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height $40 \,cm$ and filled with water up to $10 \,cm$. If the mass of the marble is $20 \,g$, then the net force on the marble due to water is close to
    View Solution
  • 3
    A wooden block floats in a liquid with $40\%$ of its volume inside the liquid. When the vessel containing he liquid starts rising upwards with acceleration $a = g/2$, the percentage of volume inside the liquid is ......... $\%$
    View Solution
  • 4
    Water falls from a tap, down the streamline
    View Solution
  • 5
    When a rubber ball is taken to a depth of $......\,{m}$ in deep sea, its volume decreases by $0.5\, \%$

    (The bulk modulus of rubber $=9.8 \times 10^{8}\, {Nm}^{-2}$ Density of sea water $=10^{3} {kgm}^{-3}$

    $\left.{g}=9.8\, {m} / {s}^{2}\right)$

    View Solution
  • 6
    A cube of ice floats partly in water and partly in kerosene oil. The radio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil $=0.8$, specific gravity of ice $=0.9$ )
    View Solution
  • 7
    A stone is projected vertically up from the bottom of a water tank. Assuming no water resistance it will go up and come down in same time but if water drag is present then the time it takes to go up, $t_{up}$ and the time it takes to come down, $t_{down}$ are related as
    View Solution
  • 8
    A hollow cone floats with its axis vertical upto one-third of its height in a liquid of relative density $0.8$ and with its vertex submerged. When another liquid of relative density $\rho$ is filled in it upto one-third of its height, the cone floats upto half its vertical height. The height of the cone is $0.10$ $m$ and the radius of the circular base is $0.05$ $m$. The specific gravity $\rho$ is given by
    View Solution
  • 9
    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
  • 10
    $Assertion :$ A thin stainless steel needle can lay floating on a still water surface.
    $Reason :$ Any object floats when the buoyancy force balances the weight of the object
    View Solution