A calorie is a unit of heat or energy and it equals about 4.2 J where 1 J = 1 kgm^2 s^-2 .Suppose we employ a system of units in which the units of mass equals α kg, the units of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 α^-1 β^−2 γ^2 in terms of the new units.
![](https://sahay.guru/wp-content/uploads/2020/08/q267-s-952x1024.jpg)