Question

The conversion of $1MW$ power in a new system having basic unit of mass, length and time as $10kg$, $1dm$ and $1minute$ respectively is:

• A. $2.16\times {10}^{13}unit$
• B. $1.26\times {10}^{12}unit$
• C. $2.16\times {10}^{10}unit$
• D. $2\times {10}^{14}unit$

Answer 1

The correct option is A $2.16\times {10}^{13}unit$

$1MW={10}^{6}W={10}^6\frac{N.m}{s}={10}^6\frac{kg.m^2}{s^3}$ (as $N=kg.m/s^2$)
$={10}^5\frac{10kg(10dm{)}^2}{(\frac{1}{60}min{)}^3}$
$=216\times {10}^{11}\frac{kg.d{m}^2}{mi{n}^3}=2.16\times {10}^{13}unit$