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.
A. the volume of fluid flowing across the section. Of the tube, in unit time is `2piv_(0)((R^(2))/(4))`
B. the kinetic energy of the fluid within the volume of the tube is `K.E=pirholv_(0)^(2)((R^(2))/(6))`
C. the frictional force exerted on the tube by the fluid is `F=4pietakv_(0)`
D. the pressure difference at the ends of tube is `P=(4etalv_(0))/(R^(2))`