$S_1$ and $S_2$ are two identical sound sources of frequency $656 Hz$. The source $S_1$ is located at $O$ and $S_2$ moves anti-clockwise with a uniform speed $4 \sqrt{2} ms ^{-1}$ on a circular path around $O$, as shown in the figure. There are three points $P, Q$ and $R$ on this path such that $P$ and $R$ are diametrically opposite while $Q$ is equidistant from them. A sound detector is placed at point $P$. The source $S_1$ can move along direction $O P$.
[Given: The speed of sound in air is $324 ms ^{-1}$ ]
($1$) When only $S_2$ is emitting sound and it is $Q$, the frequency of sound measured by the detector in $Hz$ is. . . . . .
($2$) Consider both sources emitting sound. When $S_2$ is at $R$ and $S_1$ approaches the detector with a speed $4 ms ^{-1}$, the beat frequency measured by the detector is $\qquad$ $Hz$.
IIT 2023, Advanced
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View SolutionA closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has
- 2The equation of progressive wave is $y = 0.2\sin 2\pi \left[ {\frac{t}{{0.01}} - \frac{x}{{0.3}}} \right]$, where $x$ and $y$ are in metre and $t$ is in second. The velocity of propagation of the wave is .... $m/s$View Solution
- 3Two tuning forks when sounded together produced $4$ beats/sec. The frequency of one fork is $256.$ The number of beats heard increases when the fork of frequency $256$ is loaded with wax. The frequency of the other fork isView Solution
- 4$41$ forks are so arranged that each produces $5$ beats per sec when sounded with its near fork. If the frequency of last fork is double the frequency of first fork, then the frequencies of the first and last fork are respectivelyView Solution
- 5The equation $\overrightarrow {\phi \,} (x,\,t) = \overrightarrow {j\,} \sin \,\left( {\frac{{2\pi }}{\lambda }v\,t} \right)\cos \,\left( {\frac{{2\pi }}{\lambda }x} \right)$ representsView Solution
- 6The string of a violin has a frequency of $440 \,cps$. If the violin string is shortened by one fifth, its frequency will be changed to ........... $cps$View Solution
- 7Figure here shows an incident pulse $P$ reflected from a rigid support. Which one of $A, B, C, D$ represents the reflected pulse correctlyView Solution
- 8View SolutionWhich of the following graphs is/are correct.
- 9View SolutionCoherent sources are characterized by the same
- 10Two engines pass each other moving in opposite directions with uniform speed of $30\,m/s$ . One of them is blowing a whistle of frequency $540\,Hz.$ Calculate the frequency heard by driver of second engine before they pass each other ... $Hz$. Speed of sound is $330\,m/sec$View Solution