Q)
A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg $m^2s^{–2}$. Suppose we employ a system of units in which the unit of mass equals $ \alpha $ kg, the unit of length equals $ \beta $ m, the unit of time is $ \gamma $ s. Show that a calorie has a magnitude 4.2 $ \alpha^{-1} \beta^{–2} \gamma^2$ in terms of the new units.
...
