A string $1\,\,m$ long is drawn by a $300\,\,Hz$ vibrator attached to its end. The string vibrates in $3$ segments. The speed of transverse waves in the string is equal to .... $m/s$
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If the length of stretched string is shortened by $40\%$ and the tension is increased by $44\%$, then the ratio of the final and initial fundamental frequencies is
A stationary source emits sound of frequency $\mathrm{f}_0=492 \mathrm{~Hz}$. The sound is reflected by a large car approaching the source with a speed of $2 \mathrm{~ms}^{-1}$. The reflected signal is received by the soruce and superposed with the original. What will be the beat frequency of the resulting signal in $\mathrm{Hz}$ ? (Given that the speed of sound in air is $330 \mathrm{~ms}^{-1}$ and the car reflects the sound at the frequency it has received).
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 ..... $m/s$
Two perfectly identical wires are in unison. When the tension in one wire is increased by $1\%$, then on sounding them together $3$ beats are heard in $2 \,sec$. The initial frequency of each wire is .... ${\sec ^{ - 1}}$
A sound source is moving on a circular path of radius $R$ with constant angular speed $\omega $ in anticlockwise direction and emits a frequency $n$ . An observer performs simple harmonic along the path $QPR$ with time period $T = \frac {2\pi }{\omega }$ as shown in the figure. If at $t = 0$ source is at $A$ and observer is at $Q$ and assume $OP$ is very large as compare to radius $R$ and $QP$ , then
A police car with a siren of frequency $8 \ kHz$ is moving with uniform velocity $36 \ km / hr$ towards a tall building which reflects the sound waves. The speed of sound in air is $320 \ m / s$. The frequency of the siren heard by the car driver is