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

Options

A. `4.2 alpha^(2)beta^(2)gamma^(2)` new unis
B. `4.2 alpha^(-1) beta^(-2) gamma^(2)` new units
C. `alpha^(-1) beta^(-2) gamma^(2)` new units
D. `(1)/(4.2) alpha^(-1) beta^(-2) gamma^(2)` new units

Answer

B