The wave equation is $y = 0.30\sin (314t - 1.57x)$ where $t, x$ and $y$ are in second, meter and centimeter respectively. The speed of the wave is ..... $m/s$
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A Siren emitting sound of frequency $800 \;Hz$ is going away from a static listener with a speed of $30\; m/s$, frequency of the sound to be heard by the listener is... $Hz$ (take velocity of sound as $330 \;m/s$)
A source and listener are both moving towards each other with speed $v/10$, where $v$ is the speed of sound. If the frequency of the note emitted by the source is $f$, the frequency heard by the listener would be nearly
The ends of stretched wire of length $L$ are fixed at $x\, = 0$ and $x \,= L$. In one experiment, the displacement of the wire is ${y_1} = A\sin\, \left( {\pi x/L} \right)\sin \,\omega t$ and energy is $E_1$. and in another experiment its displacement is ${y_2} = A\sin \,\left( {2\pi x/L} \right)\sin 2\omega t$ and energy is $E_2$, Then
Two wires are in unison. If the tension in one of the wires is increased by $2\%, 5$ beats are produced per second. The initial frequency of each wire is .... $Hz$
The phase difference between two waves, represented by ${y_1} = {10^{ - 6}}\sin \left\{ {100t + \left( {x/50} \right) + 0.5} \right\}\ m$ , ${y_2} = {10^{ - 6}}\cos \left\{ {100t + \left( {\frac{x}{{50}}} \right)} \right\}\ m$ where $x$ is expressed in metres and $t$ is expressed in seconds, is approximately .... $radians$
When two progressive waves $\mathrm{y}_1=4 \sin (2 \mathrm{x}-6 \mathrm{t})$ and $\mathrm{y}_2=3 \sin \left(2 \mathrm{x}-6 \mathrm{t}-\frac{\pi}{2}\right)$ are superimposed, the amplitude of the resultant wave is
A uniform string oflength $20\ m$ is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the supports is (take $g= 10 $ $ms^{-2}$ )
A driver in a car, approaching a vertical wall notices that the frequency of his car horn, has changed from $440\, Hz$ to $480 \,Hz ,$ when it gets reflected from the wall. If the speed of sound in air is $345 \,m / s ,$ then the speed of the car is $.......km/hr$
Two closed pipe produce $10$ beats per second when emitting their fundamental nodes. If their length are in ratio of $25 : 26$. Then their fundamental frequency in $Hz$, are
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