General Physics for Students; A Text-Book on the Fundamental Properties of Matter

General Physics for Students; A Text-Book on the Fundamental Properties of Matter

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 edition. Excerpt: ...a tube, of small radius r, be placed in a vertical position with its lower end immersed in a liquid of density p; and let the liquid rise in the tube until the lowest point of its curved surface is at a height /2 above the plane surface of the liquid outside the tube (Fig. 136). The liquid inside the tube is in equilibrium; hence, no work will be done in raising its surface by an infinitesimal amount (p. 38). Let an imaginary plane, drawn horizontally through the lowest point of the curved surface within the tube, have a volume 2/ of water above it. Then, if the surface within the tube is raised through a very small distance 8, we may suppose this to be done by raising the volume 1/ Fm,36__R;Se of 3 liquid in A through a distance 8, and then insertCapillary "1l@-ing, between it and the liquid in the lower part of the tube, a volume #138 of the liquid obtained from the level of the plane surface of the liquid outside the tube. In raising the volume 1/ through the distance 8, the work done against gravity is equal to p7/g8. The volume 11-118 is raised through a distance /1 against the force of gravity, so that the work done is equal to p1rr2g8/z. In raising the surface through the distance 8, a strip of the internal surface of the glass, of area. equal to 21rr8, is covered up by the liquid; and in performing this operation the work done is equal to 21rr8 (S12---51), (p. 303), Hence, for the total work done to be zero, But (S1--S12)/S, = cos 0, where S, is the surface tension of the liquid, and 6 is the angle of contact with glass (p. 304) If the liquid wets the inside of the tube, 0=o. In this case, if the bore of the tube is very small, we may assume that the curved surface is practically a hemisphere of radius r, and therefore 2/ more

Product details

  • Paperback | 188 pages
  • 189 x 246 x 10mm | 345g
  • United States
  • English
  • black & white illustrations
  • 1236812069
  • 9781236812063