Waves - Result Question 10

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10. A point source emits sound equally in all directions in a non-absorbing medium. Two points $P$ and $Q$ are at distances of $2 m$ and $3 m$ respectively from the source. The ratio of the intensities of the waves at $P$ and $Q$ is[2005]

======= ####10. A point source emits sound equally in all directions in a non-absorbing medium. Two points $P$ and $Q$ are at distances of $2 m$ and $3 m$ respectively from the source. The ratio of the intensities of the waves at $P$ and $Q$ is[2005]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/waves/waves—result-question-10.md (a) $3: 2$

(b) $2: 3$

(c) $9: 4$

(d) $4: 9$

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Answer:

Correct Answer: 10. (c)

Solution:

  1. (c) Intensity $=$ Energy/sec/unit area

Area $\propto r^{2} \Rightarrow I \propto 1 / r^{2}$

$\Rightarrow \frac{I_1}{I_2}=\frac{r_2^{2}}{r_1^{2}}=\frac{3^{2}}{2^{2}}=\frac{9}{4}$