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(B) For a spherical wave traveling uniformly in all directions from a point source,the energy is distributed over the surface area of a sphere,which i

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$[A/r] \sin(kr - \omega t)$

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(B) For a spherical wave traveling uniformly in all directions from a point source,the energy is distributed over the surface area of a sphere,which is $4\pi r^2$.Since the intensity $I$ is proportional to the square of the amplitude $a$ $(I \propto a^2)$ and intensity also follows the inverse square law $(I \propto 1/r^2)$,we have $a^2 \propto 1/r^2$,which implies $a \propto 1/r$.Therefore,the amplitude of the wave at a distance $r$ is given by $A/r$.Thus,the displacement of the medium at distance $r$ is represented by $y = \frac{A}{r} \sin(kr - \omega t)$.

$A$ 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)

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