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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
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
A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle $60^o$ with ground level. But he finds the aeroplane right vertically above his position. If $\upsilon $ is the speed of sound, speed of the plane is
Two sources of sound $S_1$ and $S_2$ produce sound waves of same frequency $660\, Hz$. A listener is moving from source $S_1$ towards $S_2$ with a constant speed $u\, m/s$ and he hears $10\, beats/s$. The velocity of sound is $330\, m/s$. Then, $u$ equals ... $m/s$