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Question

If the amplitude of waves at a distance 'r' from a point source is A. Then what will be the amplitude at a distance '2r'?

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Solution

Dear student
This question is based on the inverse sqaure law of propogation i.e.intensity is proportional to the sqaure of the distance .
Here intersity os power densirt and the amplitude of the wave is proportional to the sqaure root of the power .
which implies
A = k/r
A is inversely proportional to the distance . if distance get doubled the amplitude of the wave will be halved i.e.A/2.
Regards

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