Most Important Selected Qs for JEE AdvancedPhysicsMechanical Properties of Fluids
Paragraph: A tube of length and radius R carries a steady flow of a fluid whose density is and viscosity . The velocity v of flow is given by v=v₀ [1- (r^2 / R^2 ) ] , where r is the distance of flowing fluid from the axis. Then Question: The difference of pressure at the ends of the tube is
Options
- A4 v₀ R^2
- B8 / v₀ R^2
- C2 / v₀ R^2
- D/ v₀ R^2
Correct answer
C. 2 / v₀ R^2
Step-by-step solution
aligned & P (2 r ) dr =2 r dv dr -2 ( r + dr ) dv dr & P (2 r ) dr =-2 ( dv dr ) dr & P (2 r )=-2 ( -2 v₀ r R ^2 ) & P = 2 v ₀ R ^2 aligned