The Total solution for NCERT class 6-12
A calorie is a unit of heat or energy and it equals about 4.2 Jwhere 1J = 1 kg m2s–2. Suppose we employ a system ofunits in which the unit of mass equals α kg, the unit of length equals β m, theunit of time is γ s. Show that a calorie has a magnitude 4.2 α–1 β–2 γ2 interms of the new units.
Given that,
1 calorie = 4.2 (1 kg) (1 m2) (1 s–2)
New unit of mass = α kg
∴1 calorie = 4.2 (1 α–1)(1 β–2) (1 γ2) = 4.2 α–1 β–2 γ2