All Problems

Liquids. Capillary effects

Problem 2.169

A glass rod of diameter d1=1.5 mmd_{1}=1.5 \mathrm{~mm} is inserted symmetrically into a glass capillary with inside diameter d2=2.0 mmd_{2}=2.0 \mathrm{~mm} Then the whole arrangement is vertically oriented and brought in contact with the surface of water. To what height will the water rise in the capillary?

Reveal Answer
h=4α/ρg(d2d1)=6 cmh=4 \alpha / \rho g\left(d_{2}-d_{1}\right)=6 \mathrm{~cm}