Q.

Two non-mixing liquids of densities ρ and nρ (n>1) are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length pL ( 𝑝<1 ) in the denser liquid. The density d is equal to

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept

By Expert Faculty of Sri Chaitanya

{2+(n-1)p}ρ

{1+(n-1)p}ρ

{1+(n+1)p}ρ

{2+(n+1)p}ρ

answer is 2.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

d=density of cylinder A=area of cross-section of cylinder using law of floatation,Using law of floatation, Weight of cylinder = Upthrust by two liquidsL×A×d×g=nρ×(pL×A)g+ρ(L-pL)Agd=npρ+ρ(1-p)=(np+1-p)ρd={1+(n-1)p}ρ

Choose your Grade and Exam

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.