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For the following questions, assume all waves propagate through non-dispersive media where any absorption is negligible....

For the following questions, assume all waves propagate through non-dispersive media where any absorption
is negligible. Recall that from our analysis of oscillations in a wave we determined that the intensity I of a wave is proportional to the square of the amplitude A, that is I = c A2, where c is a constant.
(a) Consider a two-dimensional wave, like water ripples on a pool, propagating away from its source equally
on all directions. How does the amplitude of the wave change with the distance form the source?
(b) Consider now a three-dimensional wave, like a sound wave, propagating away from its source equally
in all directions. How does the amplitude of the wave change with distance from the source?
(c) What fundamental physical principle underlies the answers from the previous points?

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Answer #1

The amplitude does not change in both cases. If no energy loss is there, which is given in the problem statement, the amplitude is constant.

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