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(D) For a spherical wave emitted by a point source,the intensity $I$ at a distance $r$ is given by $I = \frac{P}{4 \pi r^2}$,where $P$ is the power of

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$\frac{9}{4}$

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(D) For a spherical wave emitted by a point source,the intensity $I$ at a distance $r$ is given by $I = \frac{P}{4 \pi r^2}$,where $P$ is the power of the source.Since $I \propto A^2$,where $A$ is the amplitude,we have $A^2 \propto \frac{1}{r^2}$,which implies $A \propto \frac{1}{r}$.Let $A_P$ and $A_Q$ be the amplitudes at distances $r_P = 4 \ m$ and $r_Q = 9 \ m$ respectively.Then,the ratio of amplitudes is $\frac{A_P}{A_Q} = \frac{r_Q}{r_P}$.Substituting the given values,$\frac{A_P}{A_Q} = \frac{9}{4}$.

$A$ stationary point source of sound emits sound uniformly in all directions in a non-absorbing medium. Two points $P$ and $Q$ are at a distance of $4 \ m$ and $9 \ m$ respectively from the source. The ratio of amplitudes of the waves at $P$ and $Q$ is

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