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Science · Advanced Physics
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Question 2

We can consider the water incompressible since the velocity of the waves is much smaller than the velocity of sound: The velocity can be derived from the potential in a region with no vortices: where w according to the incompressibility condition must obey: We can disregard the variation of the mass density of the water, which has the constant valtue p 2) Show that (1.7) has solutions of the form (x, ,t)voek sin(kz -wt). Here k is the wave number and w is the angular frequency, with

Which approximation was used in the Euler equation? How should the velocity be for this approximation to be valid?

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