Equation of the progressive wave is given by : $y = a\sin \pi (40t - x)$ where $a$ and $x$ are in metre and $t$ in second. The velocity of the wave is ..... $m/s$
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A person carrying a whistle emitting continuously a note of $272 Hz$ is running towards a reflecting surface with a speed of $18\, km/hour. $ The speed of sound in air is $345m{s^{ - 1}}$. The number of beats heard by him is
A string of length $1\,\,m$ and linear mass density $0.01\,\,kgm^{-1}$ is stretched to a tension of $100\,\,N.$ When both ends of the string are fixed, the three lowest frequencies for standing wave are $f_1, f_2$ and $f_3$. When only one end of the string is fixed, the three lowest frequencies for standing wave are $n_1, n_2$ and $n_3$. Then
A train, standing in a station-yard, blows a whistle of frequency $400\,Hz$ in still air. The wind starts blowing in the direction from the yard to the station with a speed of $10\,ms^{-1}$ then value of frequency and speed of sound for observer will be (the speed of sound in still is $340\, ms^{-1}$ )
The phase difference between two waves, represented by ${y_1} = {10^{ - 6}}\sin \left\{ {100t + \left( {x/50} \right) + 0.5} \right\}\ m$ , ${y_2} = {10^{ - 6}}\cos \left\{ {100t + \left( {\frac{x}{{50}}} \right)} \right\}\ m$ where $x$ is expressed in metres and $t$ is expressed in seconds, is approximately .... $radians$
Two tuning forks $P$ and $Q$ are vibrated together. The number of beats produced are represented by the straight line $OA$ in the following graph. After loading $Q$ with wax again these are vibrated together and the beats produced are represented by the line $OB.$ If the frequency of $P$ is $341Hz,$ the frequency of $Q$ will be ... $ Hz$
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 ... $m/s$