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A calorie is unit of heat or energy and it equals about 4.2J, where 1J= 1 kgm2/s2. Suppose we employ a system of units in which the unit of mass α kg, the unit of length β m & the unit of time γ s. Show that a calorie has a magnitude of 4.2α-1β-2γ-1 in terms of new units.

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