First slide

Surface tension

Question

By inserting a capillary tube upto a depth l in water, a capillary rise h is observed in the tube. If the lower end of the capillary tube is closed inside water and the capillary is taken out and closed end opened , to what height the water will remain in the tube when l > h

Moderate

A

zero
B

l + h
C

2h
D

h

Solution

Let the length of water column in the tube be 'x'. F = surface tension force = 2πr.S; W = weight of water column = π $r^{2}$ x.ρ.g; h = capillary rise = 2s/ρrg
Now W = 2F ⇒ π $r^{2}$ xρg = 2 x 2πrS ⇒ x = 4s/ρrg = 2h

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