Question
Two non-mixing liquids of densities and n
(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,
-
-
-
{1+(n-1)p}
-
{1+(n+1)p}
Solution
C.
{1+(n-1)p}
The situation can be depicted as follows:
According to Archimedes principle,
Weight of the cylinder = (upthrust)1 + (upthrust)2
i.e.,