The speed of sound in a gas, in which two waves of wavelength $1.0\,\, m$ and $1.02\,\, m$ produce $6$ beats per second, is approximately .... $m/s$
Medium
Download our app for free and get started
Let, $n_{1}$ and $n_{2}$ be the frequencies of two waves.
$\lambda_{1}$ and $\lambda_{2}$ be the wavelengths of two waves.
$v$ be the speed of sound.
The number of beats per second are
$n_{1}-n_{2}=6$
$\frac{v}{\lambda_{1}}-\frac{v}{\lambda_{2}}=6$
$\frac{v}{1}-\frac{v}{1.02}=6$
$\frac{0.02 v}{1.02}=6$
$0.02 v=(6)(1.02)$
$v=\frac{6.12}{0.02}=306 \mathrm{ms}^{-1} \approx 300 \mathrm{m} / \mathrm{s}$
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 SolutionDoppler's effect will not be applicable when the velocity of sound source is
- 2Two similar sonometer wires given fundamental frequencies of $500Hz$. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce $5$ beats/sec .... $\%$View Solution
- 3A student determines the velocity of sound with the help of a closed organ pipe. If the observed length for fundamental frequency is $24.7 m$, the length for third harmonic will be .... $cm$View Solution
- 4If velocity of a galaxy relative to earth is $1.2 \times 10^6 \,ms^{-1}$ then $\%$ increase in wavelength of light from galaxy as compared to the similar source on earth will be ...............$\%$View Solution
- 5A wave represented by the equation ${y_1} = a\,\cos \,\left( {kx - \omega t} \right)$ is superimposed with another wave to form a stationary wave such that the point $x = 0$ is node. The equation for the other wave isView Solution
- 6The given diagram shows a detector placed between a transmitter of sound waves and a metal plate. At three adjacent points, $ R, S$ and $T$ , the meter shows zero intensity. Which of the following is the frequency of the emitted wave ... $Hz$ ? (Take the velocity of sound as $ = 300\ m/s$ )View Solution
- 7A 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
- 8In the Kundts tube experiment (shown in fig. $(i)$), the rod is clamped at the end instead of clamping it at the center as shown in fig. $(ii).$ It is known that speed of sound in air is $330\ m/s$, powder piles up at successive distance of $0.6\ m$ and length of rod used is $1\ m$, speed of sound in rod is .... $\frac{m}{s}$View Solution
- 9The displacement y of a particle in a medium can be expressed as: $y = {10^{ - 6}}\sin (100t + 20x + \pi /4)m,$ where $t$ is in second and $x$ in meter. The speed of wave is ... $m/s$View Solution
- 10At $23^{\circ} C$, a pipe open at both ends resonates at a frequency of $450 \,Hz$. At what frequency does the same pipe resonate on a hot day when the speed of sound is $4 \%$ higher than it would be at $23^{\circ} C$ ?View Solution