The mass and volume of a body are 4.237 g and $2.5 \mathrm{~cm}^{3}$, respectively. The density of t

Question

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

Professor PC Thomas Classes · Answer

(c) : Here, mass, $m=4.237 \mathrm{~g}$ Volume, $V=2.5 \mathrm{~cm}^3$ Density, $ho=\frac{	ext { Mass }}{	ext { Volume }}=\frac{4.237 \mathrm{~g}}{2.5 \mathrm{~cm}^3}=1.6948 \mathrm{~g} \mathrm{~cm}^{-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, $ho=1.7 \mathrm{~g} \mathrm{~cm}^{-3}$