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  4. A stone thrown into still water, creates a circular wave pattern moving radially outwards. If, r is the distance measured from the centre of the pattern, the amplitude of the wave varies as

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Q. A stone thrown into still water, creates a circular wave pattern moving radially outwards. If, $r$ is the distance measured from the centre of the pattern, the amplitude of the wave varies as

Wave Optics

Solution:

As, $I\left(=\frac{P}{4 \pi r^{2}}\right) \propto A^{2}$
$\Rightarrow A \propto \frac{1}{r}$