The lower end of a capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level.

Question

The lower end of a capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level.

The lower end of a capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level. If the same tube is immersed in water, upto what height will the water rise in the capillary ?

Share with your friends

Talk Doctor Online in Bissoy App

Salim Ahmed Kawsar · Answer 1 · Feb 05, 2023 15:29:48

Rise/depression = 2S.cosθ/rρg

For mercury -0.02 = 2S'.cosθ/rρ'g ------- (i)

For water rise, h = 2S.cos0°/rρg ------- (ii)

Dividing (ii) by (i)

h/0.02 = -Sρ'/(S'*cosθ*ρ)

→h = -0.02*Sρ'/(1000S'.cosθ)

S' =7.5 x 10⁻² N/m. S = 0.465 N/m

ρ' = 13600 kg/m³

θ = 140°

So, h = -0.02*7.5x10⁻²*13600/(1000*0.465*cos140°)

→h = 0.0573 m = 5.73 cm

The lower end of a capillary tube is immersed in mercury. The level of mercury in the tube is found to be 2 cm below the outer level.

1 Answers