### 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 $