A person feels $2.5\%$ difference of frequency of a motor-car horn. If the motor-car is moving to the person and the velocity of sound is $320\, m/sec,$ then the velocity of car will be
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- 1A detector is released from rest over a source of sound of frequency $f = 10^3 \,\,Hz$. The frequency observed by the detector at time $t$ is plotted in the graph. The speed of sound in air is $(g = 10 \,\,m/s^2)$ ... $m/s$View Solution
- 2A vibrating string of certain length $l$ under a tension $T$ resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length $75\, cm$ inside a tube closed at one end. The string also generates $4\, beats$ per second when excited along with a tuning fork of frequency $n$. Now when the tension of the string is slightly increased the number of beats reduces to $2\, per second$. Assuming the velocity of sound in air to be $340\, m/s$, the frequency $n$ of the tuning fork in $Hz$ isView Solution
- 3The mass per unit length of a uniform wire is $0.135\, g / cm$. A transverse wave of the form $y =-0.21 \sin ( x +30 t )$ is produced in it, where $x$ is in meter and $t$ is in second. Then, the expected value of tension in the wire is $x \times 10^{-2} N$. Value of $x$ is . (Round-off to the nearest integer)View Solution
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- 6One end of a taut string of length $3 \ m$ along the $x$-axis is fixed at $x=0$. The speed of the waves in the string is $100 \ m / s$. The other end of the string is vibrating in the $y$-direction so that stationary waves are set up in the string. The possible waveform$(s)$ of these stationary waves is (are)View Solution
$(A)$ $y(t)=A \sin \frac{\pi x}{6} \cos \frac{50 \pi t}{3}$
$(B)$ $y(t)=A \sin \frac{\pi x}{3} \cos \frac{100 \pi t}{3}$
$(C)$ $y(t)=A \sin \frac{5 \pi x}{6} \cos \frac{250 \pi t}{3}$
$(D)$ $y(t)=A \sin \frac{5 \pi x}{2} \cos 250 \pi t$
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$(A)$ a high-pressure pulse starts traveling up the pipe, if the other end of the pipe is open.
$(B)$ a low-pressure pulse starts traveling up the pipe, if the other end of the pipe is open.
$(C)$ a low-pressure pulse starts traveling up the pipe, if the other end of the pipe is closed.
$(D)$ a high-pressure pulse starts traveling up the pipe, if the other end of the pipe is closed.
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