Two liquids having densities d_1 and d_2 are | vedclass

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(D) Let the mass of each liquid be $M$.The density of a substance is given by $	ext{density} = \frac{	ext{mass}}{	ext{volume}}$,so the volume of ea

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$\frac{2 d_1 d_2}{d_1+d_2}$

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(D) Let the mass of each liquid be $M$.The density of a substance is given by $	ext{density} = \frac{	ext{mass}}{	ext{volume}}$,so the volume of each liquid is $V_1 = \frac{M}{d_1}$ and $V_2 = \frac{M}{d_2}$.The total mass of the mixture is $M_{	ext{mix}} = M + M = 2M$.The total volume of the mixture is $V_{	ext{mix}} = V_1 + V_2 = \frac{M}{d_1} + \frac{M}{d_2} = M \left( \frac{d_1 + d_2}{d_1 d_2} ight)$.The density of the mixture is $d_{	ext{mix}} = \frac{M_{	ext{mix}}}{V_{	ext{mix}}} = \frac{2M}{M \left( \frac{d_1 + d_2}{d_1 d_2} ight)} = \frac{2 d_1 d_2}{d_1 + d_2}$.

Two liquids having densities $d_1$ and $d_2$ are mixed in such a way that both have the same mass. The density of the mixture is ............

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