Question

In a container of mass $500g$ and volume $500c{m}^3$, liquid is poured. The mass of the container when it is completely filled with the liquid is found to be $1500g.$ Find the density of the liquid.

• A. $1gc{m}^{-3}$
• B. $2gc{m}^{-3}$
• C. $4gc{m}^{-3}$
• D. $8g{m}^{-3}$

Answer 1

The correct option is B

$2gc{m}^{-3}$

Explanation for correct answer:

Option (B)

Step 1: Given Data:

Mass of container $=500g$

Mass of liquid with container, $m=1500g$

Mass of liquid, $1500g-500g=1000g$

The volume of liquid,$V=500c{m}^3$

Step 2: Density of liquid:

The density of the liquid is given as,

$$\begin{gathered} Density=\frac{massofliquid}{volumeofliquid} \\ Density=\frac{1000g}{500c{m}^3}=2g/c{m}^3 \end{gathered}$$

Hence, the density of the liquid is$=2gc{m}^{-3}$.

Thus, option (B) is the correct option.