When two sound waves travel in the same direction in a medium, the displacements of a particle located at $'x'$ at time $'t'$ is given by
${y_1} = 0.05\,\cos \,\left( {0.50\,\pi x - 100\,\pi t} \right)$
${y_2} = 0.05\,\cos \,\left( {0.46\,\pi x - 92\,\pi t} \right)$
then velocity is..... $m/s$
JEE MAIN 2013, Medium
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View SolutionSound waves travel fastest in
- 2$5\, beats/ second$ are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either $0.95\,m$ or $1\,m$ . The frequency of the fork will be ... $Hz$View Solution
- 3A train blowing a whistle of frequency $320\,Hz$ approaches an observer standing on the platform at a speed of $66\,m / s$. The frequency observed by the observer will be (given speed of sound $=330\,ms ^{-1}$ ) $.............Hz$.View Solution
- 4Two sound waves having a phase difference of $60°$ have path difference ofView Solution
- 5Two waves are given by ${y_1} = a\sin (\omega t - kx)$ and ${y_2} = a\cos (\omega \,t - kx)$ The phase difference between the two waves isView Solution
- 6A tuning fork vibrating with a sonometer having $20\,cm$ wire produces $5$ beats per sec. The beat frequency does not change if the length of the wire is changed to $21\,cm$. The frequency of the tuning fork must be ..... $Hz$View Solution
- 7View SolutionThe particles of a medium vibrate about their mean positions whenever a wave travels through that medium. The phase difference between the vibrations of two such particles
- 8Ten tuning forks are arranged in increasing order of frequency in such a way that any two consecutive tuning forks produce $4$ beats per second. The highest frequency is twice that of the lowest. Possible highest and lowest frequencies (in $Hz$ ) are ................View Solution
- 9A granite rod of $60\ cm$ length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is $2.7 \times 10^3 $ $kg/m^3$ and its Young's modulus is $9.27 \times 10^{10}$ $Pa$ What will be the fundamental frequency of the longitudinal vibrations .... $kHz$ ?View Solution
- 10A source emits a sound of frequency of $400 Hz$, but the listener hears it to be $390 Hz.$ ThenView Solution