Question

The value of $60J/min$ on a system which has $100g$, $100cm$ and $1min$ as fundamental unit is :

• A. $2.16\times {10}^6$
• B. $2.16\times {10}^4$
• C. $2.16\times {10}^3$
• D. $2.16\times {10}^5$

Answer 1

Answer: (A)

$2.16\times {10}^6$

$A=60\frac{Joule}{min}=60\frac{kg\frac{m^2}{s^2}}{\left(min\right)}=60\times 1000gm\times \frac{\frac{{\left(100cm\right)}^2}{{\left(\frac{min}{60}\right)}^2}}{1\left(min\right)}$

$=60\times 10\times 60\times 60(100gm\times (100cm{)}^2/{min}^3)=2.16\times {10}^6$