Question

The numerical value of density in SI is n times its value in cgs system. The value of n is

• A. 10
• B. 100
• C. 1000
• D. $\frac{1}{1000}$

Answer 1

The correct option is D $\frac{1}{1000}$

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

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

Thus ratio of SI to CGS unit $\frac{kg/m^3}{gm/c{m}^3}=\frac{{10}^{3}gm/({10}^{2}cm{)}^3}{gm/c{m}^3}=\frac{1}{1000}$

Thus the value of n is ${10}^{-3}$.