Question

The mass and volume of a body are $4.237g$ and $2.5c{m}^3$, respectively. The density of the material of the body in correct significant figures is

• A. $1.6948gc{m}^{-3}$
• B. $1.69gc{m}^{-3}$
• C. $1.7gc{m}^{-3}$
• D. $1.695gc{m}^{-3}$

Answer 1

Answer: (C)

Here, mass, $m=4.237g$
Volume, $V=2.5c{m}^3$
Density, $\rho =\frac{\text{Mass}}{\text{Volume}}=\frac{4.237g}{2.5c{m}^3}$
$=1.6948gc{m}^{-3}$
As mass has $4$ significant figures and volume has $2$ significant figures, therefore, as per rule, density will have only two significant figures. Rounding off to two significant figures, we get, $\rho =1.7gc{m}^{-3}$