Question

Find the value of 120 Joule/minute on a system which has 100g. 10 cm and 1 min. as fundamental units.

Answer 1

we have to find the value of 120J/min , if 100g , 10cm and 1min as fundamental units .

Dimension of power = ML^2T^-3

e.g., S.I unit of Power = 1Kg.m^2/s^-3

= (1kg/100g).(1m/10cm)^2.(1sec/1min)^-3

= (10) × 10 × (60)^3

= 21600000 = 2.16 × 10^7 unit

Now, 120J/min = 120 kg.m^2/s^2min = 2 Kg.m^2/s^3

But 2 kg.m^2/s^3 = 2.16 × 10^7 unit

so, value of 120J/min = 21600000 or 2.16 × 10^7 unit