A jar is filled with two non-mixing liquids $1$ and $2$ having densities $\rho_1$ and, $\rho_2$ respectively. A solid ball, made of a material of density $\rho_3$ , is dropped in the jar. It comes to equilibrium in the position shown in the figure.Which of the following is true for $\rho_1 , \rho_2$ and $\rho_3$?
  • A$\;{\rho _1} < {\rho _3} < {\rho _2}$
  • B$\;{\rho _3} < {\rho _1} < {\rho _2}$
  • C$\;{\rho _1} > {\rho _3} > {\rho _2}$
  • D$\;{\rho _1} < {\rho _2} < {\rho _3}$
AIEEE 2008, 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
    A spherical ball of density $\rho$ and radius $0.003$ $m$ is dropped into a tube containing a viscous fluid filled up to the $0$ $ cm$ mark as shown in the figure. Viscosity of the fluid $=$ $1.260$ $N.m^{-2}$ and its density $\rho_L=\rho/2$ $=$ $1260$ $kg.m^{-3}$. Assume the ball reaches a terminal speed by the $10$ $cm$ mark. The time taken by the ball to traverse the distance between the $10$ $cm$ and $20$ $cm$ mark is

    ( $g$ $ =$ acceleration due to gravity $= 10$ $ ms^{^{-2}} )$

    View Solution
  • 2
    The density of ice is $0.9 \,g / cm ^3$. What percentage by volume of the block of ice floats outside the water is ..........$\%$
    View Solution
  • 3
    A liquid flows in a tube from left to right as shown in figure. ${A_1}$ and ${A_2}$ are the cross-sections of the portions of the tube as shown. Then the ratio of speeds ${v_1}/{v_2}$ will be
    View Solution
  • 4
    Eight equal drops of water are falling through air with a steady speed of $10\,cm / s$. If the drops coalesce, the new velocity is $.........\,cm/s$
    View Solution
  • 5
    Water is filled in a container upto height of $3\,m$. A small hole of area $‘A_0’$ is punched in the wall of the container at a height $52.5\, cm$ from the bottom. The cross sectional area of the container is $A$. If $A_0/A = 0.1$ then $v^2$ is......... $m^2/s^2$ (where $v$ is the velocity of water coming out of the hole)
    View Solution
  • 6
    Two small spherical metal balls, having equal masses, are made from materials of densities $\rho_{1}$ and $\rho_{2}\left(\rho_{1}=8 \rho_{2}\right)$ and have radii of $1\; \mathrm{mm}$ and $2\; \mathrm{mm}$, respectively. They are made to fall vertically (from rest) in a viscous medum whose coefficient of viscosity equals $\eta$ and whose denstry is $0.1 \mathrm{\rho}_{2} .$ The ratio of their terminal velocitites would be 
    View Solution
  • 7
    The diameter of two pistons of a hydraulic press are $0.1\,\, m$ and $0.6\,\, m$ respectively. Advantage of the hydraulic press assuming effort is applied directly on pump plunger 
    View Solution
  • 8
    At shallow depth $h$, the pressure in the ocean is simply given by $P = P_0 + \rho gh$, in which $\rho$ is the density of water and $P_0$ is the air pressure. As we go deeper, the high pressure causes the water to compress and become denser. Which of the following sketches illustrates the correct dependence of the pressure on the depth $h$ ?
    View Solution
  • 9
    A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of $v_0$ (see figure). When the box is half empty, someone tilts it at $45^o $ so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of
    View Solution
  • 10
    A small drop of water falls from rest through a large height $h$ in air; the final velocity is ................
    View Solution