Question

The ratio of SI units to CGS units of density is

• A. ${10}^3$
• B. ${10}^2$
• C. ${10}^{-2}$
• D. ${10}^{-3}$

Answer 1

The correct option is D ${10}^{-3}$

SI unit of density is $kg/m^3$ and CGS unit is $gm/c{m}^3$.

We know that $1kg={10}^{3}gm$ and $1m={10}^{2}cm$

Ratio of SI to CGS unit

$=\frac{kg/m^3}{gm/c{m}^3}=\frac{{10}^{3}gm/({10}^{2}cm{)}^3}{gm/c{m}^3}={10}^{-3}$