Question

The mass and volume of a body are $4.237g$ and $2.5$ $c{m}^3$, 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

The correct option is C $1.7gc{m}^{-3}$

Here, mass, $m=4.237g$

Volume, $V=2.5c{m}^3$

We know the formula

Density, $\rho =\frac{Mass}{Volume}$

$=\frac{4.237g}{2.5c{m}^3}=1.6948gc{m}^{-3}$

As the 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, $\rho =1.7gc{m}^{-3}$