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} ?

  • Option 1)

    \rho _{1}< \rho _{3}< \rho _{2}

  • Option 2)

    \rho _{3}< \rho _{1}< \rho _{2}

  • Option 3)

    \rho _{1}> \rho _{3}> \rho _{2}

  • Option 4)

    \rho _{1}< \rho _{2}< \rho _{3}

 

Answers (1)

As we learnt in

Density -

It is the ratio of mass of substance to the volume occupied by the substance while density of a body.

-

 

From figure it is clear that the liquid 1 floats on liquid2. The lighter liqud floats over heavier liquid i.e. \rho_{1}<\rho_{2}

Also \rho_{3}>\rho_{2} otherwise the ball would have sink to the bottom of the jar.

Also \rho_{3}>\rho_{1} otherwise the ball would have floated in liquid. 

\therefore\ \; \rho_{1}<\rho_{3}<\rho_{2}

Correct option is 1.


Option 1)

\rho _{1}< \rho _{3}< \rho _{2}

This is the correct option.

Option 2)

\rho _{3}< \rho _{1}< \rho _{2}

This is an incorrect option.

Option 3)

\rho _{1}> \rho _{3}> \rho _{2}

This is an incorrect option.

Option 4)

\rho _{1}< \rho _{2}< \rho _{3}

This is an incorrect option.

Most Viewed Questions

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 24999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions