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NEET 2016

Exam: NEET
Year: 2016
Subject: Physics
Chapter: Mechanical Properties of Fluids

NEET 2016 · Physics · Mechanical Properties of Fluids

Two non-mixing liquids of densities ρ and nρ (n > 1) are put in a...

Two non-mixing liquids of densities

ρ

and

nρ \left(n > 1\right)

are put in a container. The height of each liquid is

h.

A solid cylinder of length

\text{L}

and density

d

is put in this container. The cylinder floats with its axis vertical and length

pL \left(p < 1\right)

in the denser liquid. The density

d

is equal to: 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

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

Options

A\left\{1 + $\left(n + 1\right)p\right\}ρ$
B\left\{2 + $\left(n + 1\right)p\right\}ρ$
C\left\{2 + $\left(n - 1\right)p\right\}ρ$
D\left\{1 + $\left(n - 1\right)p\right\}ρ$

Correct answer

D. \left\{1 + $\left(n - 1\right)p\right\}ρ$

Step-by-step solution

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

{f}_{0} = mg

ρA\left(1 - p\right)Lg + nρApLg = dALg

ρ\left(1 - p\right) + nρp = d

\left[1 - p + np\right]ρ = d

<br /><br />\left[1 + \left(n - 1\right)p\right]ρ = d

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