A wave travels uniformly in all directions from a point source in an isotropic medium. The displacement of the medium at any point at a distance $r$ from the source may be represented by ($A$ is a constant representing strength of source)
Medium
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For a spherical wave (traveling uniformly in all direction from a point source), the amplitude decreases with distance from the center as $1 / r .$ As a result the intensity of wave varies as $1 / r^{2} .$
Hence, the displacement of medium with $r$ goes as $y=\frac{A}{r} \sin (k r-\omega t)$
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