Test if the following equations are dimensionally correct:
A. 
B. 
C. 
D. 
where h = height, S = surface tension, ρ = density, P = pressure,
V = volume, η = coefficient of viscosity, v = frequency and I =
moment of inertia.
A. 
Dimensions of h = [L]
Dimensions of S = [MT-2]
Dimensions of ρ = [ML-3]
Dimensions of r = [L]
Dimensions of g = [LT-2]
Checking the R.H.S
Dimensionally
= 
= [M0L1T0]
A. is dimensionally correct
B. 
Dimensions of v = [LT-1]
Dimensions of P = [ML-1T-2]
Dimensions of ρ = [ML-3]
Checking the R.H.S
Dimensionally
= 
B. is dimensionally correct
C. 
Dimensions of V = [L3]
Dimensions of P = [ML-1T-2]
Dimensions of r4 = [L4]
Dimensions of t = [T]
Dimensions of l = [L]
Dimensions of η = [ML-1T-1]
Checking the R.H.S
Dimensionally
= 
=[L3]
C. is dimensionally correct
D. 
Dimensions of v = [T-1]
Dimensions of m = [M]
Dimensions of g = [LT-2]
Dimensions of l = [L]
Dimensions of I = [ML2]
Checking the R.H.S
Dimensionally
= 
D. is dimensionally correct