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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 $V_{2}$ .

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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)
$\begin{matrix} δ_{1} V_{1} = δ_{2} V_{2} V_{2} = \frac{δ_{1} V_{1} g}{δ_{2}} \end{matrix}$

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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)
$\begin{matrix} δ_{1} V_{1} = δ_{2} V_{2} V_{2} = \frac{δ_{1} V_{1} g}{δ_{2}} \end{matrix}$