Physics 9702 · AS & A Level · Progressive waves

Progressive waves — practice question

A source of sound with constant power $P$ is placed in open space. The sound intensity $I$ at a distance $r$ from this source is given by $I = \dfrac{P}{4 \pi r^2}$. How does the amplitude $a$ of the oscillating air molecules depend on the distance $r$ from the source?

  • A$a \propto \dfrac{1}{r}$
  • B$a \propto \dfrac{1}{r^2}$
  • C$a \propto r$
  • D$a \propto r^2$

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