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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 xylum tube in a 10 m high coconut tree so that water can rise to the top. (surface tension of water = 0.1N/m, Angle of contact of water with xylem tube= 60 to the power of ring operator end exponent)

  1. 1 cm    
  2. 1 mm    
  3. 10 mu m    
  4. 1 mu m    

The correct answer is: 1 mu m


    rho g h pi r to the power of 2 end exponent equals 2 pi rScos invisible function application theta
    rightwards double arrow r equals fraction numerator 2 S c o s invisible function application theta over denominator rho g h end fraction equals fraction numerator 2 cross times 1 cross times 0.5 over denominator 10 to the power of 3 end exponent cross times 10 cross times 10 end fraction equals 10 to the power of negative 6 end exponent m

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