A tube of length 1 and radius R carries a steady flow of fluid whose density is `rho` and viscosity `eta`. The velocity v of flow is given by `v=v_(0)(1-r^(2)//R^(2))` Where r is the distance of flowing fluid from the axis.

Turpentine oil is flowing through a tube of length 1 and radius r. The pressure difference between the two ends of the tube is p. The viscosity of oil is given by eta = (p(r^2 - x^2))/(4vl) where, v is the velocity of oil at distance x from the axis of the tube. The dimesions of eta are

Turpentine oil is flowing through a tube of length L and radius r . The pressure difference between the two ends of the tube is p , the viscosity of the coil is given by eta = (p (r^(2) - x^(2)))/(4 vL) , where v is the velocity of oil at a distance x from the axis of the tube. From this relation, the dimensions of viscosity eta are