If pressure P , velocity V and time T are taken as fundamental physical quantities, the dimensional formula of the force is-

Step-by-step solution

First recall the dimension of pressure, velocity, and time, P = ML - 1 T - 2 ,   V = LT - 1   &   T = T [ F ] = P a V b T c   M L T - 2 = ML - 1   T - 2 a LT - 1 b T c Equating powers of M , L and T 1 = a , 1 = - a + b , - 2 = - 2 a - b + c a = 1 , b = 2 ,    c = 2 [ F ] = P V 2   T 2