Question

The density of mercury is $13.6gm/cc$. Convert it into S.I. units :

• A. $13.6\times {10}^{3}kg/m^3$
• B. $13.6\times {10}^{2}kg/m^3$
• C. $13.6\times {10}^{4}kg/m^3$
• D. $13.6\times {10}^{5}kg/m^3$

Answer 1

Answer: (A)

$13.6\times {10}^{3}kg/m^3$

Dimensions of Density are $M{L}^{-3}$
$1kg=1000g,1m=100cm$
Thus, $13.6g/cc=$$13.6\times \left({1000}^{-1}\right)\times ({100}^{-1}{)}^{-3}$
$=13.6\times {10}^{-3}\times {10}^6=13.6\times {10}^{3}kg/m^3$