The sap in tree rises in a system of capillaries of radius `2.5 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))`

Options

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

Answer

B

Explanation

Here, `r=2.5xx10^(-5)m, S=7.28xx10^(-2) N m^(-1)`
Angle of contact , `theta=0^(@), rho=10^(3) kg m^(-3)`
The maximum height to which the sap can rise by capillary action is,
`h=(2Scostheta)/(rrhog)=(2xx7.28xx10^(-2)xxcos0^(@))/(2.5xx10^(-5)xx10^(3)xx9.8)=0.59`m