Two cars ${X}$ and ${Y}$ are approaching each other with velocities $36\; {km} / {h}$ and $72\; {km} / {h}$ respectively. The frequency of a whistle sound as emitted by a passenger in car ${X}$, heard by the passenger in car ${Y}$ is $1320 \;{Hz}$. If the velocity of sound in air is $340\; {m} / {s}$, the actual frequency of the whistle sound produced is ........ $Hz.$
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The equation of a wave travelling on a string is $y = 4\sin \frac{\pi }{2}\left( {8t - \frac{x}{8}} \right)$. If $x$ and $y$ are in $cm,$ then velocity of wave is
A fork of frequency $256\, Hz$ resonates with a closed organ pipe of length $25.4\, cm$. If the length of pipe be increased by $2\, mm$, the number of beats/sec. will be
A transverse sinusoidal wave moves along a string in the positive $x-$ direction at a speed of $10\, cm/s$. The wavelength of the wave is $0.5\, m$ and its amplitude is $10\, cm$. At a prticular time $t$, the snap-shot of the wave is shown in the figure. the velocity of point $P$ when its displacement is $5\, cm$, is
Two open organ pipes give $4$ beats/sec when sounded together in their fundamental nodes. If the length of the pipe are $100 cm$ and $102.5 cm$ respectively, then the velocity of sound is ..... $m/s$
$A$ and $B$ are two sources generating sound waves. A listener is situated at $C$ . The frequency of the source at $A$ is $500\,Hz$ . $A,$ now, moves towards $C$ with a speed $4\,m/s.$ The number of beats heard at $C$ is $6.$ When $A$ moves away from $C$ with speed $4\,m/s,$ the number of beats heard at $C$ is $18.$ The speed of sound is $340\,m/s.$ The frequency of the source at $B$ is ..... $Hz$