Fluid Mechanics Viscosity Question 271
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) $ \left{ l+\left( n+l \right)p \right}\rho ~~ $
B) $ ~\left{ 2+\left( n+1 \right)p \right}\rho $
C) $ \left{ 2+\left( n-1 \right)p \right}\rho $
D) $ \left{ l+\left( n-1 \right)p \right}\rho $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] As we know, Pressure$ P=Vdg $ Here $ LAdg=(pL)A(n\rho )g $ $ +(1-p)LA\rho g $ $ \Rightarrow ,,d=(1-p)\rho +pn,\rho =[1+(n-1)p]\rho $
BETA
