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  4. If the amplitude of a wave at a distance r from a point source is A, the amplitude at a distance 2r will be

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Q. If the amplitude of a wave at a distance $r$ from a point source is $A$, the amplitude at a distance $2r$ will be

Uttarkhand PMTUttarkhand PMT 2011

Solution:

$I \propto A^{2}$
Also, $I \propto \frac{1}{r^{2}}$ (inverse square law)
$A \propto \frac{1}{r}$
$\therefore A=\frac{A}{2}$