1 cal. = 4.2 = kg m2 s-2
S.I. system |
New system |
n1 = 4.2 |
n2 = ? |
M1 = 1 kg |
M2 = α kg |
L1 = 1 m |
L2 = β m |
T1 = 1 seconds |
T2 = γ second |
Dimensional formulae of energy is [M1L2T-2]
Comparing with [Ma Lb Tc], we get
a =1, b = 2 c = -2
Now, n2 =n1 [M1/M2]a [L1/L2]b [T1/T2]c
= 4.2 [1 kg/α kg]1 [1 m/β m]2 [1 s/γ s]-2
= 4.2 α-1 β-2 γ2.