A sound source, emitting sound of constant frequency, moves with a constant speed and crosses a stationary observer. The frequency (n) of sound heard by the observer is plotted against time $( t )$. Which of the following graphs represents the correct variation?
Medium
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A suspension bridge is to be built across valley where it is known that the wind can gust at $5 \,s$ intervals. It is estimated that the speed of transverse waves along the span of the bridge would be $400 \,m / s$. The danger of resonant motions in the bridge at its fundamental frequency would be greater if the span had a length of .......... $m$
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
A tuning fork of frequency $340\,Hz$ resonates in the fundamental mode with an air column of length $125\,cm$ in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is________ $cm$
An organ pipe $P_1$, closed at one end vibrating in its first harmonic and another pipe $P_2$, open at both ends vibrating in its third harmonic, are in resonance with a given tuning fork, The ratio of the lengths of $P_1$ and $P_2$ is
A tuning fork resonates with a sonometer wire of length $1 \mathrm{~m}$ stretched with a tension of $6 \mathrm{~N}$. When the tension in the wire is changed to $54 \mathrm{~N}$, the same tuning fork produces $12$ beats per second with it. The frequency of the tuning fork is $\mathrm{Hz}$.
A travelling wave represented by $y = A \sin (\omega t - kx )$ is susperimposed on another wave represented by $y = A$ $\sin (\omega t + kx )$. The resultant is