The diameter of a capillary tube is 0 4 x 10-3 m It is held vertically in a liquid - Physics - Mechanical Properties Of Fluids

Question

The diameter of a capillary tube is 0 4 x 10-3 m It is
held vertically in a liquid whose density is 0 8 x 103kg
m-3 and the surface tension is 9 8 x 10-2 N
m-1 Determine the height to which the liquid will rise
in the tube Given, g = 9 8 m s-2 and angle of contact is
zero

Zafar · Accepted Answer

Height of liquid column in a capillary is given by
h = 2Tcosθρgr
where T → surface tension, ρ density of liquid
g → acceleration due to gravity , r- radius of capillary and
θ → angle of contact
radius of capillary r =D2 = 0
4×10-32  = 0
2×10-3m   h = 2×9
8×10-2×cos 000 8×103×9 8×0
2×10-3   h= 2×10-20 8×0
2 ⇒ h = 12
5×10-2m                                    ⇒h= 12
5 cm      (ANS)

The diameter of a capillary tube is 0.4 x 10-3 m. It is held vertically in a liquid whose density is 0.8 x 103kg m-3 and the surface tension is 9.8 x 10-2 N m-1. Determine the height to which the liquid will rise in the tube. Given, g = 9.8 m s-2 and angle of contact is zero

The diameter of a capillary tube is 0.4 x 10^-3 m. It is held vertically in a liquid whose density is 0.8 x 10³kg m^-3 and the surface tension is 9.8 x 10^-2 N m^-1. Determine the height to which the liquid will rise in the tube. Given, g = 9.8 m s^-2 and angle of contact is zero