In a new system of units, unit of mass is 10 kg, unit of length is 1 km and unit of time is 1 minute. The value of 1 joule in this new hypothetical system is

In a new system of units, unit of mass is 10 kg, unit of length is 1 k

1.	In a new system of units, unit of mass is 10 kg, unit of length is 1 km and unit of time is 1 minute. The value of 1 joule in this new hypothetical system is
Answer» `3.6 XX 10^(-4)` new units `6 xx 10^(7)` new units `10^(11)` new units `1.67 xx 10^(4)` new units Solution :The dimensional formula of ENERGY is `[ML^(2)T^(-2)]` `n_(2)= 1[(1kg)/(10kg)]^(1)[(1m)/(1km)]^(2)[(1s)/(1min)]^(-2)` `= (1)/(10) xx (1)/(10^(6)) xx (1)/(60)^(-2)= (3600)/(10^(7))= 3. 6 xx 10^(-4)`