Two non-mixing liquids of densites 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 [The cylinder is completely submerged in the liquid]

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

{1+ (n + 1)p}ρ

{2+ (n + 1)p}ρ

{2 + (n -1)p}ρ

{1 + (n - 1)p}ρ

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

Where a body is floating in mixture of liquids, then we can write weight of the cylinder = up thrust on culinder due to denser liquid + up thrust on cylinder due to lighter liquid.Vdg = V1d1g + V2d2gVd = V1d1 + V2d2 = V1(nρ) + V2ρ

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th