Equal masses of water and a liquid of density $2$ are mixed together, then the mixture has density of

\frac{2}{3}

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\frac{4}{3}

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\frac{3}{2}

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3

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Solution

The correct option is B $\frac{4}{3}$
Let the volume of water mixed be $V$ .
Density $ρ = \frac{m}{V}$
Since, density of the other liquid is two, its volume is $\frac{V}{2}$

Total mass $M = 2 m$
Total volume $V_{t o t a l} = V + \frac{V}{2} = \frac{3 V}{2}$
Density, $ρ^{'} = \frac{2 M}{3 V / 2} = \frac{4}{3}$

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