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The sap in trees, which consists mainly ...

The sap in trees, which consists mainly of water in summer, rises in a system of capillaries of radius `r = 2.5 xx 10^(-5) m.` The surface tension of sap is `T =7.28 xx 10^(-2) Nm^(-1)` and the angle of contact is `0^@.` Does surface tension alone ac count for the supply of water to the top of all trees ?

Text Solution

AI Generated Solution

To determine whether surface tension alone accounts for the supply of water to the top of all trees, we can use the formula for the height to which a liquid can rise in a capillary tube due to capillary action. The formula is given by: \[ h = \frac{2T \cos \theta}{\rho g r} \] Where: - \( h \) = height of the liquid column ...
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Knowledge Check

  • The sap in tree rises in a system of capillaries of radius 2.5 xx 10^(-2) m . The surface tension of the sap is 7.28 xx 10^(-2) N m^(-1) and the angle of contact is 0^(@) . The maximum height to which sap can rise in tree through capillarity action is (rho_("sap")=10^(3) kg m^(-3))

    A
    0.21 m
    B
    0.59 m
    C
    0.87 m
    D
    0.91 m
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