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A closed organ pipe $150 \mathrm{~cm}$ long gives $7$ beats per second with an open organ pipe of length $350 \mathrm{~cm}$, both vibrating in fundamental mode. The velocity of sound is_________ $\mathrm{m} / \mathrm{s}$.
Two waves are represented by ${y_1} = a\sin \left( {\omega \,t + \frac{\pi }{6}} \right)$ and ${y_2} = a\cos \omega \,t$. What will be their resultant amplitude
The displacement of a particle is given by $y = 5 \times {10^{ - 4}}\sin (100t - 50x)$, where $x$ is in meter and $t$ in sec, find out the velocity of the wave .... $m/sec$
A vibrating string of certain length $\ell$ under a tension $\mathrm{T}$ resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length $75 \mathrm{~cm}$ inside a tube closed at one end. The string also generates $4$ beats per second when excited along with a tuning fork of frequency $\mathrm{n}$. Now when the tension of the string is slightly increased the number of beats reduces $2$ per second. Assuming the velocity of sound in air to be $340 \mathrm{~m} / \mathrm{s}$, the frequency $\mathrm{n}$ of the tuning fork in $\mathrm{Hz}$ is
A transverse wave propagating along $x-$ axis is represented by $y (x,t)= 8.0 sin$ $\left( {0.5\pi x - 4\pi t - \frac{\pi }{4}} \right)$ where $x$ is in metres and $t$ is in seconds. The speed of the wave is ..... $m/s$
A surface of area $S$ is placed perpendicular to the direction of travel of a plane wave. The energy per unit time intercepted by the surface is $E$ when the amplitude of the wave is $A$ . The area of the surface is reduced to $\frac{1}{2} \ S$ and the amplitude of the wave is increased to $2\ A$ . What is the energy per unit time intercepted by this smaller surface?
A wire of density $9 \times 10^{-3} \,kg\, cm ^{-3}$ is stretched between two clamps $1\, m$ apart. The resulting strain in the wire is $4.9 \times 10^{-4}$. The lowest frequency of the transverse vibrations in the wire is......$HZ$
(Young's modulus of wire $Y =9 \times 10^{10}\, Nm ^{-2}$ ), (to the nearest integer),
A train moving towards a hill at a speed of $72\ km/hr$ sounds a whistle of frequency $500\ Hz$ . A wind is blowing from the hill at a speed of $36\ km/hr$ . If the speed of sound in air is $340\ m/s$ , the frequency heard by a man on the hill (nearly) is ... $Hz$
A small source of sound moves on a circle as shown in the figure and an observer is standing on $O$. Let ${n_1},\;{n_2}$ and ${n_3}$be the frequencies heard when the source is at $A,\,B$ and $C$ respectively. Then
A man is standing on a railway platform listening to the whistle of an engine that passes the man at constant speed without stopping. If the engine passes the man at time ${t_0}$. How does the frequency $f$ of the whistle as heard by the man changes with time