Question: The phase velocity of a surface wave on a liquid of surface tension T and density is where g is the acceleration due to

The phase velocity of a surface wave on a liquid of surface tension T and density ρ is

where g is the acceleration due to gravity and ? is the wavelength of the wave. Find the group velocity v_g of the surface waves. What is vg when v_p takes its minimum value as a function of wavelength?

2nT 2

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