AP EAMCET2013PhysicsMechanical Properties of Fluids
A capillary tube of radius ' r ' is immersed in water and water rises to a height of ' h '. Mass of water in the capillary tube is 5 10⁻³ ~kg . The same capillary tube is now immersed in a liquid whose surface tension is 2 times the surface tension of water. The angle of contact between the capillary tube and this liquid is 45^ . The mass of liquid which rises into the capillary tube now is, (in kg )
Options
- A5 10⁻³
- B2.5 10⁻³
- C5 2 10⁻³
- D3.5 10⁻³
Correct answer
A. 5 10⁻³
Step-by-step solution
We knows height of water rise in a capillary tube gathered h= 2 T r d g h₁= 2 T₁ ₁ r d g , h₂= 2 T₂ ₂ r d g gathered Given, h₁=h, T₁=T, ₁=0 h= 2 T r d g Given, T₂= 2 T, =45^ , 45^ = 1 2 h₂= 2 2 T 1 2 r d g From Eqs. (i) and (ii), we observe h₂=h . Hence, same mass of liquid rises into the capillary as before 5 10⁻³ ~kg .