Two trains, one coming towards and another going away from an observer both at $4\; m/s$ produce whistle simultaneously of frequency $300 \;Hz$. Find the number of beats produced
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A string is stretched between fixed points separated by $75.0\,\, cm.$ It is observed to have resonant frequencies of $420\,\, Hz$ and $315\,\, Hz$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is .... $Hz$
Two identical flutes produce fundamental notes of frequency $300 Hz$ at ${27^o} C.$ If the temperature of air in one flute is increased to ${31^o}$C, the number of the beats heard per second will be
When a car is approaching the observer, the frequency of horn is $100 Hz$. After passing the observer, it is $50\,Hz$. If the observer moves with the car, the frequency will be $\frac{ x }{3} Hz$ where $x =.....$
A motor cycle starts from rest and accelerates along a straight path at $2 \;m / s ^{2}$. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at $94 \%$ of its value when the motor cycle was at rest?
A rope of length $L$ and mass $M$ hangs freely from the ceiling. If the time taken by a transverse wave to travel from the bottom to the top of the rope is $T$, then time to cover first half length is
In a closed organ pipe, the frequency of fundamental note is $30 \mathrm{~Hz}$. A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to $110 \mathrm{~Hz}$. If the organ pipe has a cross-sectional area of $2 \mathrm{~cm}^2$, the amount of water poured in the organ tube is _____________$g.$ (Take speed of sound in air is $330 \mathrm{~m} / \mathrm{s}$ )
A string vibrates according to the equation $y = 5\sin \,\left( {\frac{{2\pi x}}{3}} \right)\,\,\cos \,20\,\pi t$, where $x$ and $y$ are in $cm$ and $t$ in sec. The distance between two adjacent nodes is .... $cm$