1. Mar 29, 2010 #1

   labview1958

   

   If the frequency of a water wave is doubled in a ripple tank, is the wavelength halved? The depth of water is kept constant.

    

   labview1958, Mar 29, 2010
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3. Mar 29, 2010 #2

   Fightfish

   

   Yes. In shallow water, the speed of the water waves is dependent only on the depth (and the gravitational acceleration g).
   
   The general expression for the speed of a water wave is given by:
   [tex]v = \sqrt{\frac{g\lambda}{2\pi}\,tanh(2\pi\frac{d}{\lambda}})[/tex]
   
   which simplifies in the shallow depth limit into
   [tex]v = \sqrt{gd}[/tex]

    

   Fightfish, Mar 29, 2010
4. Mar 30, 2010 #3

   labview1958

   

   so,
   v=freq x wavelength
   
   Thus double the frequency the wavelength is halved in shallow water.

    

   labview1958, Mar 30, 2010

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