Multiple choice

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

  1. $\dfrac{2}{3}$
  2. $\dfrac{4}{3}$
  3. $\dfrac{3}{2}$
  4. $3$
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B Correct answer
Explanation

Let mass of water be m (density 1) and mass of liquid be m (density 2). Volume of water = m/1 = m. Volume of liquid = m/2. Total mass = 2m. Total volume = m + m/2 = 3m/2. Density = Total mass / Total volume = 2m / (3m/2) = 4/3.

AI explanation

Assume the equal mass of both liquids is M, making the volume of water M/1 and the volume of the second liquid M/2. The total mass of the mixture is M + M = 2M, and the total volume is M/1 + M/2 = 1.5M. The density is mass divided by volume, so 2M divided by 1.5M equals 4/3.

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