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A train is moving on a straight track with speed $20\ ms^{-1}$. It is blowing its whistle at the frequency of $1000\ Hz$. The percentage change in the frequency heard by a person standing near the track as the train passes him is ( speed of sound $=320$ $ms^{-1}$ ) close to .... $\%$
A steel rod $100\, cm$ long is damped at into middle. The fundamental frequency of longitudinal vibrations of the rod are given to be $2.53\, kHz$. What is the speed of sound in sound is steel ? (in $km/s$)
You are driving in your car listening to music on the radio. Your car is equipped with radio that can recieved radio singals of frequency $(f_1 \approx\, 3\, MHz),$ other of frequency $(f_2 \approx\, 30\, MHz),$ and third of frequency $(f_3 =\, 3\, GHz),$. You enter a tunnel with a circular opening of diameter $10\ m.$ Which kind of radio signal will you be able to receive the longest as you continue to travel in the tunnel ?
The ends of a stretched wire of length $L$ are fixed at $x = 0$ and $x = L.$ In one experiment, the displacement of the wire is ${y_1} = A\sin (\pi x/L)\sin \omega t$ and energy is ${E_1}$, and in another experiment its displacement is ${y_2} = A\sin (2\pi x/L)\sin 2\omega t$ and energy is ${E_2}$. Then
In a resonance tube, the first resonance is obtained when the level of water in the tube is at $16\,cm$ from the open end. Neglecting end correction, the next resonance will be obtained when the level of water from the open end is .... $cm$
A transverse wave of amplitude $0.5\, m$ and wavelength $1\, m$ and frequency $2\, Hz$ is propagating in a string in the negative $x-$direction. The expression for this wave is
The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe $L$ metre long. The length of the open pipe will be
The transverse displacement in a streched string is given by
$y = 0.06 \sin \, \left( {\frac{{2\pi }}{3}x} \right)\cos \,(120\pi t)$
where $x$ and $y$ are in $m$ and $t$ is in $s$. The length of the string is $1.5\, m$ and its mass is $3.0 \times 10^{-2} \,kg$, then tension in string is ..... $N$
A source and a detector move away from each other in absence of wind with a speed of $20\, {m} / {s}$ with respect to the ground. If the detector detects a frequency of $1800\, {Hz}$ of the sound coming from the source, then the original frequency of source considering speed of sound in air $340\, {m} / {s}$ will be ${Hz}$