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A train moving at a speed of $220\, ms^{-1}$ towards a stationary object, emits a sound of frequency $1000\, Hz$. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is .... $ Hz$ (speed of sound in air is $330\, ms^{-1}$)
Two uniform strings $A$ and $B$ made of steel are made to vibrate under the same tension. if the first overtone of $ A$ is equal to the second overtone of $B$ and if the radius of $A$ is twice that of $B,$ the ratio of the lengths of the strings is
A wave is propagating along $x$-axis. The displacement of particles of the medium in $z$-direction at $t = 0$ is given by: $z =$ exp$[ -(x + 2)^2]$ , where $‘x’$ is in meters. At $t = 1s$, the same wave disturbance is given by: $z =$ exp $ [ - (2 - x)^2 ]$. Then, the wave propagation velocity is
When two tuning forks (fork $1$ and fork $2$ ) are sounded together, $4$ beats per second are heard. Now some tape is attached on the prong of the fork $2$. When the tuning forks are sounded again, $6$ beats per second are heard. If the frequency of fork $1$ is $200 \,Hz$, then the original frequency of fork $2$ is ........... $Hz$
A bus is moving with a velocity of $5 m/s$ towards a huge wall. the driver sounds a horn of frequency $165 Hz.$ If the speed of sound in air is $355 m/s,$ the number of beats heard per second by a passenger on the bus will be
The superposing waves are represented by the following equations :${y_1} = 5\sin 2\pi (10\,t - 0.1x)$, ${y_2} = 10\sin 2\pi (20\,t - 0.2x)$ Ratio of intensities $\frac{{{I_{\max }}}}{{{I_{\min }}}}$ will be
An engine is moving with uniform speed along a circular track emitting a sound of frequency $400\, Hz$ as shown in the figure. Speed of engine is $30\, m/sec$ and speed of sound is $330\, m/sec$. An observer is standing inside the track. Maximum frequency observed by the observer is
$16$ tunning forks are arranged in the order of increasing frequencies. Any two successive forks give $8$ beats per sec when sounded together. If the frequency of the last fork is twice the first, then the frequency of the first fork is