NEET | 2016Basic Maths and Units and DimensionsHard
Question
Two non-mixing liquids of densities 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:
Options
A.
{1 + (n + 1)p}ρ
B.
{2 + (n + 1)p}ρ
C.
{2 + (n - 1)p}ρ
D.
{1 + (n - 1)p}ρ
Solution
f0 = mg
PA(1 - P)Lg + nApLg = dALg
(1 - p) + np = d
[1 - p + np] = d
[1 + (n - 1)p] = d
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