NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
A coaxial cylinder made of glass is immersed in a liquid of surface tension S . The radius of the inner and outer surface of the cylinder are R 1 and R 2 respectively. Height till which liquid will rise is (Density of liquid is ρ )
Options
- A2 S R 2 ρ g
- B2 S R 1 ρ g
- CS R 2 - R 1 ρ g
- D2 S R 2 - R 1 ρ g
Correct answer
D. 2 S R 2 - R 1 ρ g
Step-by-step solution
Net upward force = 2 π R 2 S + 2 π R 1 S C o n t a c t a n g l e = 0 o ∴ Capillary rise is given by h = 2 π S R 1 + R 2 π R 2 2 - R 1 2 ρ g = 2 S R 2 - R 1 ρ g