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A police van, moving at $22\, m/s$ , chases a motor-cyclist. The police man sounds horn at $176\, Hz$ , while both of them move towards a stationary siren of frequency $165\, Hz$ as shown in the figure. If the motor-cyclist does not observe any beats, his speed must be .... $m/s$ (take the speed of sound $= 330\, m/s$ )
A pipe $30 cm$ long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a $1.1 kHz$ source ? (Take speed of sound in air =$ 330 ms^{-1}$)
Two strings $X$ and $Y$ of a sitar produce a beat frequency $4 Hz$. When the tension of the string $Y$ is slightly increased the beat frequency is found to be $2 Hz.$ If the frequency of $X$ is $300 Hz,$ then the original frequency of $Y$ was .... $Hz$
The particle displacement of a travelling longitudional wave is represented by $\xi = \xi (x,t)$. The midpoints of a compression zone and an adjacent rarefaction zone are represented by the letter ‘$C’$ and $‘R’$. Which of the following is true?
Vibrating tuning fork of frequency $n$ is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through $8.75 cm$, the intensity of sound changes from a maximum to minimum. If the speed of sound is $350 \,m/s. $ Then $n$ is .... $Hz$
$A$ 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 ..... $Hz$