Equal masses of water and a liquid of density | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the mass of water be $m$ and the mass of the liquid be $m$. The density of water is $\rho_1 = 1 \ g/cm^3$ and the density of the liquid is $\r

Vedclass · Accepted Answer

$4/3$

Vedclass · Answer

(B) Let the mass of water be $m$ and the mass of the liquid be $m$. The density of water is $\rho_1 = 1 \ g/cm^3$ and the density of the liquid is $\rho_2 = 2 \ g/cm^3$.The total mass of the mixture is $M = m + m = 2m$.The total volume of the mixture is $V = V_1 + V_2 = \frac{m}{\rho_1} + \frac{m}{\rho_2} = m(\frac{1}{1} + \frac{1}{2}) = m(\frac{3}{2})$.The density of the mixture is $\rho_{mix} = \frac{M}{V} = \frac{2m}{m(3/2)} = \frac{2}{3/2} = \frac{4}{3} \ g/cm^3$.

Equal masses of water and a liquid of density $2 \ g/cm^3$ are mixed together. The density of the resulting mixture is ........ $g/cm^3$.

Similar Questions

Why is the dam of a water reservoir thick at the bottom?

Three liquids of densities $d, 2d$,and $3d$ are mixed in equal volumes. Then the density of the mixture is

When two metals of equal volume are mixed,the relative density of the mixture is $4$. When equal masses of these two metals are mixed,the relative density of the mixture is $3$. What are the relative densities of the two metals?

Consider a mercury-filled tube as shown in the figure below. Which of the following options about the pressures at the lettered locations $(A, B, C, D)$ is true?

Two immiscible liquids $A$ and $B$ are kept in an $U$-tube. If the density of liquid $A$ is smaller than the density of liquid $B$,then the equilibrium situation is

Vedclass Test Series

Exam Paper Generator

Online Exam Module