A siren emitting sound of frequency $500 \;Hz$ is going away from a static listener with a speed of $50\, m/sec$. The frequency of sound to be heard, directly from the siren, is .... $Hz$
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An open organ pipe of length $l$ is sounded together with another organ pipe of length $l + x$ in their fundamental tones $(x < < l)$. The beat frequency heard will be (speed of sound is $v$) :
The displacement $y$ of a wave travelling in the x-direction is given by $y = {10^{ - 4}}\sin \,\,\left( {600t - 2x + \frac{\pi }{3}} \right)$ metres, where $x$ is expressed in metres and $t$ in seconds. The speed of the wave-motion, in ..... $ms^{-1}$, is
The power of sound from the speaker of a radio is $20$ milli watt by turning the knob of the volume control the power of the sound is increased to $400$ milli watt. The power increase in decibles as compared to the original power is ..... $dB$
If $l_1$ and $l_2$ are the lengths of air column for the first and second resonance when a tuning fork of frequency $n$ is sounded on a resonance tube, then the distance of the displacement antinode from the top end of the resonance tube is:
Equation of a progressive wave is given by $y = a\,\sin \pi \,\left[ {\frac{t}{2} - \frac{x}{4}} \right]\,,$ where $t$ is in seconds and $x$ is in meters. The distance through which the wave moves in $8 sec$ is .... $(m)$ (in meter)
Two waves are propagating along a taut string that coincides with the $x-$axis. The first wave has the wave function $y_1 = A cos [k(x - vt)]$ and the second has the wave function $y = A cos [k(x + vt) + \phi ]$.