The string of a violin emits a note of $205 \,Hz$ at its correct tension. The string is tightened slightly and then it produces six beats in two seconds with a tuning fork of frequency $205 Hz$. The frequency of the note emitted by the taut string is .......... $Hz$ 
Easy
Download our app for free and get startedPlay store
(c)

Initial frequency $=205 \,Hz$

String tightned so frequency is increased $=205+f$

Final frequency of string $-$ frequency of tuning fork $=3$ beats

$205+f-205=3$

$\therefore f=3$

$\therefore$ Final frequency $=205+3=208 \,Hz$

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
    During superposition of two waves of nearly equal frequencies, beats frequency is defined as the
    View Solution
  • 2
    A block of mass $1\,\, kg$ is hanging vertically from a string of length $1\,\, m$ and mass /length $= 0.001\,\, Kg/m$. A small pulse is generated at its lower end. The pulse reaches the top end in approximately .... $\sec$
    View Solution
  • 3
    The frequency of transverse vibrations in a stretched string is $200 Hz$. If the tension is increased four times and the length is reduced to one-fourth the original value, the frequency of vibration will be  .... $Hz$
    View Solution
  • 4
    Two wires are fixed in a sonometer. Their tensions are in the ratio $8 : 1$. The lengths are in the ratio $36:35.$ The diameters are in the ratio $4 : 1$. Densities of the materials are in the ratio $1 : 2$. If the lower frequency in the setting is $360 Hz.$ the beat frequency when the two wires are sounded together is
    View Solution
  • 5
    It is desired to increase the fundamental resonance frequency in a tube which is closed at one end. This can be achieved by
    View Solution
  • 6
    A tuning fork gives $4$ beats with $50 cm$ length of a sonometer wire. If the length of the wire is shortened by $1 cm$, the number of beats is still the same. The frequency of the fork is
    View Solution
  • 7
    A tuning fork gives $4$ beats with $50\, cm$ length of a sonometer wire if the length of  the wire is shortened by $1\, cm$. the no. of beats still the same. The frequency of the  fork is -............. $\mathrm{Hz}$
    View Solution
  • 8
    When a longitudinal wave propagates through a medium, the particles of the medium execute simple harmonic oscillations about their mean positions. These oscillations of a particle are characterised by an invariant
    View Solution
  • 9
    The walls of the halls built for music concerts should
    View Solution
  • 10
    A pipe closed at one end produces a fundamental note of $412\,Hz.$  It is cut into two pieces of equal length the fundamental notes produced by the two pieces are
    View Solution