1. Capillary waves can form on a liquid free surface as a result of surface tension. The wave speed V depends on surface tension o, wavelength λ, and liquid density p. Use dimensional analysis to express wave speed as a function of these variables. (surface tension is the work to bring molecules from bulk phase to the surface to form one new unit area of the surface, unit J/m²).

QUESTION 1 Match the following terms to the correct definition. Sublimation Dipole-dipole attraction Adhesive force Viscosity Intermolecular force Dispersion force Surface tension Phase diagram A. force of attraction between molecules of different chemical identities B. "noncovalent attractive force between atoms, molecules, and/or ions" C. intermolecular attraction between two permanent dipoles D. "energy required to increase the area, or length, of a liquid surface by a given amount" E. "attraction between two rapidly fluctuating, temporary dipoles; significant only when particles are very close together" F. measure of a liquid s resistance to flow G. pressure-temperature graph summarizing conditions under which the phases of a substance can exist H. change from solid state directly to gaseous state

An enclosure consists of two black surfaces formed by cutting off a 0.3 m diameter spherical shell by a plane at a distance 0.1 m from the centre and closing it by a black circular disk Determine the view factors of the surfaces. in R de

2C.4 Falling-cylinder viscometer (see Fig. 2C.4). A falling-cylinder viscometer consists of a long vertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (ra- dius KR). The slug is equipped with fins so that its axis is coincident with that of the tube. One can observe the rate of descent of the slug in the cylindrical container when the lat- ter is filled with fluid. Find an equation that gives the viscosity of the fluid in terms of the ter- minal velocity of the slug and the various geometric quantities shown in the figure. Cylindrical slug descends- with speed t -XR- Cylindrical container filled with fluid Fig. 2C.4 A falling-cylinder viscom- eter with a tightly fitting solid cylin- der moving vertically. The cylinder is usually equipped with fins to maintain centering within the tube. The fluid completely fills the tube, and the top and bottom are closed. (a) Show that the velocity distribution in the annular slit is given by (1-)-(1+¹) In…