Two closed pipe produce $10$ beats per second when emitting their fundamental nodes. If their length are in ratio of $25 : 26$. Then their fundamental frequency in $Hz$, are
Medium
Download our app for free and get startedPlay store
(c) ${n_1} - {n_2} = 10$..…$(i)$

Using ${n_1}, = \frac{v}{{4{l_1}}}$ and ${n_2} = \frac{v}{{4{l_2}}}$

==> $\frac{{{n_1}}}{{{n_2}}} = \frac{{{l_2}}}{{{l_1}}} = \frac{{26}}{{25}}$…..$(ii)$

After solving these equation ${n_1} = 260Hz$,${n_2} = 250$$Hz$

art

Download our app
and 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

  • 1
    A transverse wave is passing through a string shown in figure. Mass density of the string is $1 \ kg/m^3$ and cross section area of string is $0.01\ m^2.$ Equation of wave in string is $y = 2sin (20t - 10x).$ The hanging mass is (in $kg$):-
    View Solution
  • 2
    Two loudspeakers $L_1$ and $L_2$ driven by a common oscillator and amplifier, are arranged as shown. The frequency of the oscillator is gradually increased from zero and the detector at $D$ records a series of maxima and minima. If the speed of sound is $330\,ms^{-1}$ then the frequency at which the first maximum is observed is .... $Hz$
    View Solution
  • 3
    The equation $y = 0.15\sin 5x\cos 300t$, describes a stationary wave. The wavelength of the stationary wave is .... $m$
    View Solution
  • 4
    Dependence of disturbances due to two waves on time is shown in the figure. The ratio of their intensities $I_1 / I_2$ will be
    View Solution
  • 5
    For a transverse wave travelling along a straight line, the distance between two peaks (crests) is $5 \,m ,$ while the distance between one crest and one trough is $1.5 \,m$ The possible wavelengths (in $m$ ) of the waves are
    View Solution
  • 6
    A train moving at a speed of $220\, ms^{-1}$ towards a stationary object, emits a sound of frequency $1000\, Hz$. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is .... $ Hz$ (speed of sound in air is $330\, ms^{-1}$)
    View Solution
  • 7
    Standing waves can be produced
    View Solution
  • 8
    Two vibrating tuning forks produce progressive waves given by ${y_1} = 4\,\sin \,\left( {500\pi t} \right)$ and ${y_2} = 2\,\sin \,\left( {506\pi t} \right)$. These tuning forks are held near the ear of a person. The person will hear $\alpha \, beats/s$ with intensity ratio between maxima and minima equal to $\beta $. Find the value of $\beta  - \alpha $
    View Solution
  • 9
    When a tuning fork vibrates, the waves produced in the fork are
    View Solution
  • 10
    A wave travelling in the $+ve$ $x-$ direction having displacement along $y-$ direction as $1\,\, m,$ wavelength $2\pi\,\, m$ and frequency of $\frac{1}{\pi}$ $Hz$ is represented by
    View Solution