You visited us 7 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Physics

Thermal Expansion

A body of den...

Question

A body of density $ρ$ floats with a volume $V_{1}$ of its total volume V immersed in one liquid of density $r h o_{1}$ and with the remaining volume $V_{2}$ immersed in another liquid of density $ρ_{2}$ where $ρ_{1} > ρ_{2}$ . Find the value of $V_{2}$ .

Open in App

Solution

According to question;
$\begin{matrix} δ V g = δ_{1} V_{1} g . . . . . . . . . (1) & δ V g = δ_{2} V_{2} g . . . . . (2) \end{matrix}$
From (i) & (ii)
$\begin{matrix} δ_{1} V_{1} = δ_{2} V_{2} V_{2} = \frac{δ_{1} V_{1} g}{δ_{2}} \end{matrix}$

Suggest Corrections

Similar questions

Q. A body of density

d

and volume

V

floats with volume

V_{1}

of it immersed in a liquid of density

d_{1}

and rest of the volume

V_{2}

immersed in another liquid of density

d_{2} (< d_{1})

then

V_{1}

A body of density d and volume V floats with volume $V_{1}$ of it immersed in a liquid of density $d_{1}$ and rest of the volume $V_{2}$ immersed in another liquid of density $d_{2}$ (< $d_{1}$ ) then $V_{1}$ is

Q. A solid sphere of volume

V

and density

ρ

floats at the interface of two immiscible liquids of densities

ρ_{1}

and

ρ_{2}

respectively. If

ρ_{1} < ρ < ρ_{2}

then the ratio of volume of the parts of the sphere in upper and lower liquid is:

A body floats in liquid A of density $ρ_{1}$ with a part of it submerged while in liquid B of density $ρ_{2}$ , it floats with total body submerged. The densities $ρ_{1}$ and $ρ_{2}$ are related as

Q. A solid spherical ball of volume

^{'} V^{'}

and density

^{'} ρ^{'}

floats on the interface of two immiscible liquids. The densities of upper and lower liquids are

ρ_{1}

and

ρ_{2}

respectively. The density of the ball if the ball floats with exactly half it volume in two liquids is:-

Join BYJU'S Learning Program

A body of density ρ floats with a volume V1 of its total volume V immersed in one liquid of density rho1 and with the remaining volume V2 immersed in another liquid of density ρ2 where ρ1>ρ2. Find the value of V2.

According to question;δVg=δ1V1g.........(1)&δVg=δ2V2g.....(2)From (i) & (ii)δ1V1=δ2V2V2=δ1V1gδ2

A body of density $ρ$ floats with a volume $V_{1}$ of its total volume V immersed in one liquid of density $r h o_{1}$ and with the remaining volume $V_{2}$ immersed in another liquid of density $ρ_{2}$ where $ρ_{1} > ρ_{2}$ . Find the value of $V_{2}$ .

According to question;
$\begin{matrix} δ V g = δ_{1} V_{1} g . . . . . . . . . (1) & δ V g = δ_{2} V_{2} g . . . . . (2) \end{matrix}$
From (i) & (ii)
$\begin{matrix} δ_{1} V_{1} = δ_{2} V_{2} V_{2} = \frac{δ_{1} V_{1} g}{δ_{2}} \end{matrix}$