7.29 The speed of propagation of a surface wave in a liquid of depth much greater than λ is given by V= gλ + 2TT pλ 2TY where g = acceleration of gravity, λ = wavelength, p = density, Y = surface tension. Compute the group velocity of a pulse in the long wavelength limit (these are called gravity waves).

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7.29 The speed of propagation of a surface wave in a liquid of depth
much greater than λ is given by
V=
gλ
+
2TT βλ
2TTY
where g = acceleration of gravity, λ = wavelength, p = density, Y
= surface tension. Compute the group velocity of a pulse in the long
wavelength limit (these are called gravity waves).
Transcribed Image Text:7.29 The speed of propagation of a surface wave in a liquid of depth much greater than λ is given by V= gλ + 2TT βλ 2TTY where g = acceleration of gravity, λ = wavelength, p = density, Y = surface tension. Compute the group velocity of a pulse in the long wavelength limit (these are called gravity waves).
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