1 calorie=4.2 J where IJ= 1 kg m^2s^-2. Suppose we employ a system of units in which the unit of mass is alpha kg, the unit of length is beta m and the unit of time gamma s, show that a calorie has a magnitude 4.2alpha^-1beta^-2gamma^-2 in the new system.

1 calorie=4.2 J where IJ= 1 kg m^2s^-2. Suppose we employ a system of

1.	1 calorie=4.2 J where IJ= 1 kg m^2s^-2. Suppose we employ a system of units in which the unit of mass is alpha kg, the unit of length is beta m and the unit of time gamma s, show that a calorie has a magnitude 4.2alpha^-1beta^-2gamma^-2 in the new system.
Answer» `4.2 alpha BETA^(2)GAMMA^(-2)` NEW UNITS `4.2 alpha^(-1)beta^(-2)gamma^(2)` new units alpha^(1) beta^(2) gamma^(-2)` new units `(1)/(4.2)alpha^(-1)beta^(-2)gamma^(2)` new units Answer :B