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

A stone thrown into still water, creates a circular wave pattern movin

1.	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
Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a> ^(-(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)/(2))` <br/>`r ^(-1)`<br/>`r ^(-2)`<br/>`r ^(- (3)/(2))`</p>Solution :For circular waves (propagating in `2-D` space i.e. on the surface) we have `I <a href="https://interviewquestions.tuteehub.com/tag/prop-607409" style="font-weight:bold;" target="_blank" title="Click to know more about PROP">PROP</a> (1)/(r )` <br/> But `I prop A ^(2) implies A ^(2) prop I implies A prop sqrtI` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a> A prop (I)/(sqrtr) implies A prop r ^(-1//2)`</body></html>