Two waves represented by the following equations are travelling in the same medium ${y_1} = 5\sin 2\pi (75t - 0.25x)$, ${y_2} = 10\sin 2\pi (150t - 0.50x)$ The intensity ratio ${I_1}/{I_2}$ of the two waves is
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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
An engine giving whistle is moving towards a stationary observer with $110\, m/s$ speed. What will be the ratio of the frequency of the whistle heard when the engine is approaching and receding from the observer ? (Speed of sound $= 330\, m/s$)
The frequency of echo will be $.......Hz$ if the train blowing a whistle of frequency $320\,Hz$ is moving with a velocity of $36\,km / h$ towards a hill from which an echo is heard by the train driver. Velocity of sound in air is $330\,m / s$.
A transverse wave of amplitude $0.5\, m$ and wavelength $1\, m$ and frequency $2\, Hz$ is propagating in a string in the negative $x-$direction. The expression for this wave is
In an experiment with sonometer a tuning fork of frequency $256 Hz$ resonates with a length of $25 cm$ and another tuning fork resonates with a length of $16 cm$. Tension of the string remaining constant the frequency of the second tuning fork is .... $Hz$
An organ pipe $P_1$ closed at one end vibrating in its first overtone. Another pipe $P_2$ open at both ends is vibrating in its third overtone. They are in a resonance with a given tuning fork. The ratio of the length of $P_1$ to that of $P_2$ is :
The ends of stretched wire of length $L$ are fixed at $x\, = 0$ and $x \,= L$. In one experiment, the displacement of the wire is ${y_1} = A\sin\, \left( {\pi x/L} \right)\sin \,\omega t$ and energy is $E_1$. and in another experiment its displacement is ${y_2} = A\sin \,\left( {2\pi x/L} \right)\sin 2\omega t$ and energy is $E_2$, Then
A man fires a bullet standing between two cliffs. First echo is heard after $3$ seconds and second echo is heard after $ 5$ seconds. If the velocity of sound is $330 m/s$, then the distance between the cliffs is .... $m$
A transverse wave is represented by the equation $y = {y_0}\sin \frac{{2\pi }}{\lambda }(vt - x)$ For what value of $\lambda$, the maximum particle velocity equal to two times the wave velocity