NEET Solved Paper 2016 Question 33

Question: Two non-mixing liquids of densities $ \rho $ and $ n\rho (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 :-

Options:

A) $ {1+(n+1)p}\rho $

B) $ {2+(n+1)p}\rho $

C) $ {2+(n-1)p}\rho $

D) $ {1+(n-1)p}\rho $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ LAdg=(pL)A(n\rho )g+(1-p)LA\rho g $
    $ \Rightarrow $ $ d=(1-p)\rho +pn,\rho =[1+(n-1)p]\rho $


sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें