First slide

Surface tension

Question

Assuming the xylem tissues through which water rises from root to the branches in a tree to be of uniform cross section find the maximum radius of xylem tube in a 10 m high coconut tree so that water can rise to the top. (surface tension of water = 0.1 N/m, Angle of contact of water with xylem tube = 60°)

Moderate

A

1 cm
B

1 mm
C

10 $μm$
D

1 $μm$

Solution

${ρhgπr}^{2} = 2 πrScosθ$
$\Rightarrow r = \frac{2 S \cos θ}{ρgh} = \frac{2 \times 0.1 \times 0.5}{10^{3} \times 10 \times 10} = 10^{- 6} m$

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