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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°)

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1 cm

1 mm

10 $μm$

1 $μm$

answer is D.

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Detailed 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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