Question

# A long capillary glass tube of uniform diameter of $$1mm$$ is filled completely with water and then held vertically in air. It is now opened at both ends. Find the length of the water column remaining in the glass tube. Surface tension of water is $$0.075 N/m.$$ $$(g=10m/s^2$$ and density of water is $$10^3 kg/m^3)$$:

A
Zero
B
1.5 cm
C
3 cm
D
6 cm

Solution

## The correct option is B 6 cmRefer to the figure.Pressure at a $$P_a= P_0-\dfrac{2T}{r}$$  .....(1)Pressure at b $$P_b=P_0 + \dfrac{2T}{r}$$  .....(2)Also, $$P_b -P_a = \rho gh$$Substituting  $$P_a$$ and $$P_b$$ in $$\therefore 2 \times \dfrac{2T}{r} = \rho gh$$$$\Rightarrow h= \dfrac{4T}{r\rho g}= \dfrac{4 \times 0.075}{0.5 \times 10^{-3} \times 10^3 \times 10}=0.6 \times 10^{-1} \:m=6 \:cm$$Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More