Show that Reynold.s number R=(rhov_(0)d)/(eta) is dimensitons (rho is density fo the fluid, v_(0) is the critical velocity, d is diameter through which the fluid is flowing and eta is the coefficient of viscosity of the fluid).

Show that Reynold.s number R=(rhov_(0)d)/(eta) is dimensitons (rho is

1.	Show that Reynold.s number R=(rhov_(0)d)/(eta) is dimensitons (rho is density fo the fluid, v_(0) is the critical velocity, d is diameter through which the fluid is flowing and eta is the coefficient of viscosity of the fluid).
Answer» Solution :`R=([ML^(-3)][LT^(-1)][L])/[(ML^(-1)T^(-1)])=[(ML^(-1)T^(-1))/(ML^(-1)T^(-1))]=[M^(0)L^(0)T^(0)]` `:.R` is DIMENSIONLESS.