The fundamental frequency of a sonometer wire increases by $6$ $Hz$ if its tension is increased by $44\%$ keeping the length constant. The change in the fundamental frequency of the sonometer wire in $Hz$ when the length of the wire is increased by $20\%$, keeping the original tension in the wire will be :-
  • A$2$
  • B$4$
  • C$5$
  • D$10$
Diffcult
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
    The beats are produced by two sound sources of same amplitude and of nearly equal frequencies. The maximum intensity of beats will be ...... that of one source
    View Solution
  • 2
    On a long horizontally moving belt, a child runs to and fro with a speed $9\, km\, h^{-1}$ (with respect to the belt) between his father and mother located $50\, m$ apart on the moving belt. The belt moves with a speed of $4\, km\, h^{-1}$. For an observer on a stationary platform, the speed of the child running in the direction of motion of the belt is ..... $km\,h^{-1}$
    View Solution
  • 3
    A tuning fork arrangement (pair) produces $4$ beats/sec with one fork of frequency $288\, cps$. A little wax is placed on the unknown fork and it then produces $2\; beats/sec$. The frequency of the unknown fork is  .... $cps$
    View Solution
  • 4
    A motorcyclist is approaching a large wall with a velocity of $90\,km/hr$. A car is chasing him with a velocity of $108\,km/hr$. If the car sounds a horn at $30\,Hz,$ beat frequency heard by motorcyclist is ____ $Hz$ . Take velocity of sound $= 330\,m/s$ .
    View Solution
  • 5
    In a gultar, two strings $A$ and $B$ made of same materlal are slightly out of tune and produce beats of frequency $6\, Hz$. When tension in $B$ is slightly decreased, the beat frequency increases to $7 \,Hz$. If the frequency of $A$ is $530\, Hz ,$ the orlginal frequency of $B$ will be $.........Hz$
    View Solution
  • 6
    The ends of stretched wire of length $L$ are fixed at $x\, = 0$ and $x \,= L$. In one experiment, the displacement of the wire is ${y_1} = A\sin\, \left( {\pi x/L} \right)\sin \,\omega t$ and energy is $E_1$. and in another experiment its displacement is ${y_2} = A\sin \,\left( {2\pi x/L} \right)\sin 2\omega t$ and energy is $E_2$, Then
    View Solution
  • 7
    $Assertion :$ Two waves moving in a uniform string having uniform tension cannot have different velocities.
    $Reason :$ Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.
    View Solution
  • 8
    A string is stretched between fixed points separated by $75.0\,\, cm.$ It is observed to have resonant frequencies of $420\,\, Hz$ and $315\,\, Hz$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is .... $Hz$
    View Solution
  • 9
    Two travelling waves ${y_1} = A\sin [k(x - c\,t)]$ and ${y_2} = A\sin [k(x + c\,t)]$ are superimposed on string. The distance between adjacent nodes is
    View Solution
  • 10
    The echo of a gun shot is heard $8\, sec$. after the gun is fired. How far from him is the surface that reflects the sound .... $m$ (velocity of sound in air $= 350 \,m/s$)
    View Solution