The diagram shows a jar 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 into 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
    ${\rho _3} < {\rho _1} < {\rho _2}$
  • B
    ${\rho _1} < {\rho _3} < {\rho _2}$
  • C
    ${\rho _1} < {\rho _2} < {\rho _3}$
  • D
    ${\rho _1} > {\rho _3} > {\rho _2}$

Explore More

Similar Questions

$A$ body of density $\rho$ is dropped from rest at a height $h$ into a lake of density $\sigma$ $(\sigma > \rho)$. The maximum depth to which the body sinks before returning to float on the surface is (neglect air dissipative forces).

$A$ metallic block of density $5 \, g \, cm^{-3}$ and having dimensions $5 \, cm \times 5 \, cm \times 5 \, cm$ is weighed in water. Its apparent weight will be

$Assertion :$ The buoyant force on a submerged rigid object can be considered to be acting at the centre of mass of the object.
$Reason :$ For a rigid body,a force field distributed uniformly through its volume can be considered to be acting at the centre of mass of the body.

$A$ wooden block is floating on water kept in a beaker. $40 \%$ of the block is above the water surface. Now the beaker is kept inside a lift that starts going upward with acceleration equal to $g / 2$. The block will then

$A$ wooden cube floats in water when a $200\,g$ mass is placed on it. When the mass is removed,the cube rises by $2\,cm$ above the water level. The side of the cube is ......... $cm$.

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo