Q122 / 180 · AIIMS 2006 · Physics

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

  • Correct answer
    A
    $r^{-1 / 2}$
  • B
    $r^{-1}$
  • C
    $r^{-2}$
  • D
    $r^{-3 / 2}$.

Solution

For circular wave, intensity $I \propto \frac{1}{r}$. Amplitude, $A \propto \sqrt{I}, A \propto \sqrt{\frac{1}{r}}$ or, $A \propto r^{-1 / 2}$.

Hence, the correct answer is option: 'A'.

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