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Bukhovtsev-et-al-Problems-in-Elementary-Physics

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78<br />

PROBLEMS<br />

--<br />

II<br />

-- - --- --<br />

- - - -.-<br />

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Fig. 135 Fig. 136<br />

be done to br<strong>in</strong>g it to the surface. Therefore, each molecule of<br />

the surface layer has excess potenti<strong>al</strong> energy equ<strong>al</strong> to this work.<br />

The average force that acts on any molecule from the side of<br />

<strong>al</strong>l the others, however, is <strong>al</strong>ways equ<strong>al</strong> to zero if the liquid is<br />

<strong>in</strong> equilibrium. This is why the work done to move the liquid<br />

from a depth to the surface should <strong>al</strong>so be zero. What is the<br />

orig<strong>in</strong>, <strong>in</strong> this case, of the surface energy?<br />

358. One end of a glass capillary tube with a radius r = 0.05 cm<br />

is immersed <strong>in</strong>to water to a depth of h:=. 2 ern. What pressure<br />

is required to blow an air bubble out of the lower end of<br />

the tube?<br />

359. A glass capillary tube with an <strong>in</strong>tern<strong>al</strong> diam<strong>et</strong>er of 0.5 mm<br />

is immersed <strong>in</strong>to water. The top end of the tube projects by<br />

2 em above the surface of the water. What is the shape of<br />

the meniscus?<br />

360. Water rises to a height h <strong>in</strong> a capillary tube lowered<br />

vertic<strong>al</strong>ly <strong>in</strong>to water to a depth I (Fig. 135). The lower end<br />

of the tube is closed, the tube is then taken out of the water<br />

and opened aga<strong>in</strong>. D<strong>et</strong>erm<strong>in</strong>e the length of the water column<br />

rema<strong>in</strong><strong>in</strong>g <strong>in</strong> the tube.<br />

361. Two capillary tubes of the same cross section are lowered<br />

<strong>in</strong>to a vessel with water (Fig. 136). The water <strong>in</strong> the straight

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