Q: A two-dimensional water wave spreads in circular wave fonts. Show that the aplitude A at a distance r from the initial disturbance is proportional to [tex]\frac{1}{\sqrt{r}}[/tex]. (Hint: Consider the energy carried by one outward moving ripple.)(adsbygoogle = window.adsbygoogle || []).push({});

Comments:

Let's consider the energy carried by one outward-moving ripple:

[tex]E_\lambda = \frac{1}{2} \mu \omega^2 A^2 \lambda[/tex]

and I suppose there is another wave directly across the origin for some particle. But how do I relate this to r?

thanks!

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