Waves - Result Question 54

56. Two sources $P$ and $Q$ produce notes of frequency $660 Hz$ each. A listener moves from $P$ to $Q$ with a speed of $1 ms^{-1}$. If the speed of sound is $330 m / s$, then the number of beats heard by the listener per second will be

[NEET Kar. 2013]

(a) zero

(b) 4

(c) 8

(d) 2

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Answer:

Correct Answer: 56. (b)

Solution:

(b) $\frac{\Delta f}{f}=\frac{v}{c}$

$\Rightarrow \frac{(\text{ Beats }) / 2}{f}=\frac{v}{c}$

$\Rightarrow$ Beats $=\frac{2 f v}{c}=4$



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