The unit of Mass is α kg. The unit of length is β metre and the unit of time is γ second. The magnitude of calorie in the new system is:
A calorie is a unit of heat (energy in transit) and it equals about 4.2 J where 1 J=1 kgm2s−2. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 α−1β−2γ2 in terms of the new units.