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The capillaries shown in figure (14-E4) ...

The capillaries shown in figure (14-E4) have inner radii 0.5 mm, 1.0 mm and 1.5 mm respectively. The liquid in the beaker is water. Find the heights of water level in the capillaries. The surface tension of water is `7.5xx10^-2Nm^-1`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
a. `T=7.5xx10^-2N/m, costheta=1`
`(a)`. `h_A=(2Tcostheta)/(r_A.rhog)`
`=(2xx7.5xx10^-2)/(5xx10^-3xx1000xx10)`
`=3xx10^-2m=3cm`
`(b)`. `h_B=(2Tcostheta)/(r_B.rhog)`
`=(2xx7.5xx10^-2)/(5xx10^-3xx10^3xx10)`
`=15xx10^-xm=1.5cm`
c. `h_0=(2Tcostheta)/(r_Crhog)`
`=(2xx7.5xx10^-2)/(1.5xx10^-3xx10^3xx10)`
`=15/1.5xx10^-3=10^-2m=1cm`
The height of `H_2O` levle in A,B,C cappliareis are 3 cm 1.5 cm nd 1 cm respectivel.
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