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A sound source $S$ is moving along a straight track with speed $v,$ and is emitting sound of frequency $v_{o}$ (see figure). An observer is standing at a finite clistance, at the point $O$, from the track. The time variation of frequency heard by the observer is best represented by
$\left(t_{0}\right.$ represents the instant when the distance between the source and observer is minimum)
The wavelengths of two waves are $50$ and $51 cm$ respectively. If the temperature of the room is ${20^o}C$, then what will be the number of beats produced per second by these waves, when the speed of sound at ${0^o}C$ is $\,332 m/sec$
In a Resonance -Coulmn lab experiment to measure the velocity of sound, the first resonance is obtained at a length $l_1$ and the second resonance at a length $l_2$. Then-
$50$ tuning forks are arranged in increasing order of their frequencies such that each gives $4 \,beats/sec$ with its previous tuning fork. If the frequency of the last fork is octave of the first, then the frequency of the first tuning fork is ... $Hz$
It is found that an increase in pressure of $100\, kPa$ causes a certain volume of water to decrease by $5 × 10^{-3}$ percent of its original volume. Then the speed of sound in the water is about .... $m/s$ (density of water $10^3 \,kg/m^3$)
A closed organ pipe of length $L$ and an open organ pipe contain gases of densities $\rho_{1}$ and $\rho_{2}$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is $\frac{ x }{3} L \sqrt{\frac{\rho_{1}}{\rho_{2}}}$ where $x$ is ......... . (Round off to the Nearest Integer)
Two identical harmonic pulses travelling in opposite directions in a taut string approach each other. At the instant when they completely overlap, the total energy of the string will be