The length of a sonometer wire is $0.75\, m$ and density $9 \times 10^3\, kg/m^3$. It can bear a stress of $8.1 \times 10^8\, N/m^2$ without exceeding the elastic limit. What is the fundamental frequency that can be produced in the wire  .... $Hz$ ?
Medium
Download our app for free and get startedPlay store
$\mathrm{n}=\frac{1}{2 \ell} \sqrt{\frac{\mathrm{T}}{\mu}}=\frac{1}{2 \ell} \sqrt{\frac{\mathrm{Stress}}{\rho}}$
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 tuning fork $A$ produces $4$ beats/sec with another tuning fork $B$ of frequency $320 Hz$. On filing the fork $A$, $4$ beats/sec are again heard. The frequency of fork $A$, after filing is ....$Hz$
    View Solution
  • 2
    A tuning fork produces waves in a medium. If the temperature of the medium changes, then which of the following will change
    View Solution
  • 3
    When a guitar string is sounded with a $440\, Hz$ tuning fork, a beat frequency of $5\, Hz$ is heard. If the experiment is repeated with a tuning fork of $437\,Hz$, the beat frequency is $8\, Hz$. The string frequency $(Hz)$ is
    View Solution
  • 4
    If the density of oxygen is $16$ times that of hydrogen, what will be the ratio of their corresponding velocities of sound waves
    View Solution
  • 5
    A plane sound waves passes from medium $1$ into medium $2$. The speed of sound in medium $1$ is $200\,m/s$ and in medium $2$ is $100 \,m/s$. The ratio of amplitude of the transmitted wave to that of incident wave is :-
    View Solution
  • 6
    Three waves of equal frequency having amplitudes $10\mu m,$ $4\mu m,$ $7\mu m$ arrive at a given point with successive phase difference of $\frac{\pi }{2},$ the amplitude of the resulting wave in $\mu m$ is given by
    View Solution
  • 7
    The musical interval between two tones of frequencies $320 Hz$ and $240 Hz$ is
    View Solution
  • 8
    Two waves having equations

    ${x_1} = a\sin (\omega \,t + {\phi _1})$, ${x_2} = a\sin \,(\omega \,t + {\phi _2})$

    If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is

    View Solution
  • 9
    One insulated conductor from a household extension cord has a mass per unit length of $μ.$ A section of this conductor is held under tension between two clamps. A subsection is located in a magnetic field of magnitude $B$ directed perpendicular to the  length of the cord. When the cord carries an $AC$ current of $"i"$ at a frequency of $f,$ it  vibrates in resonance in its simplest standing-wave vibration state. Determine the  relationship that must be satisfied between the separation $d$ of the clamps and the tension $T$ in the cord.
    View Solution
  • 10
    A siren placed at a railway platform is emitting sound of frequency $5 kHz$. A passenger sitting in a moving train $A$ records a frequency of $5.5 kHz$ while the train approaches the siren. During his return journey in a different train $B$ he records a frequency of $6.0 kHz$ while approaching the same siren. The ratio of the velocity of train $B$ to that of train $A$ is
    View Solution