6.4 The relation between the frequency and the wavelength for surface tension waves on the...

6.4 The relation between the frequency ν and the wavelength λ for surface tension waves on the surface of a liquid of density ρ and surface tension σ is Use a method analogous to the Debye theory of specific heats to find a formula, analogous to the Debye T3 law, for the temperature dependence of the surface energy Ε of a liquid at low temperatures.

The surface tension of liquid helium at 0 Κ is 0.352 × 10–3 N/m and its density is 0.145 g cm-3. From these data estimate the temperature range over which your formula for E(T) is valid for liquid helium, assuming that each helium atom in the surface of the liquid possesses one degree of freedom.

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