The tension of a stretched string is increased by $69\%$. In order to keep its frequency of vibration constant, its length must be increased by .... $\%$
  • A$20$
  • B$30$
  • C$\sqrt {69}$
  • D$69$
Medium
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 boat at anchor is rocked by waves whose crests are $100\, m$ apart and velocity is $25\, m/sec$. The boat bounces up once in every: ...  $sec$
    View Solution
  • 2
    On sounding tuning fork $A$ with another tuning fork $B$ of frequency $384 Hz, 6$ beats are produced per second. After loading the prongs of $A$ with some wax and then sounding it again with $B, 4$ beats are produced per second. What is the frequency of the tuning fork $A$  .... $Hz$
    View Solution
  • 3
    A closed organ pipe has a fundamental frequency of $1.5\, kHz$. The number of overtones that can be distinctly heard by a person with this organ pipe will be : (Assume that the highest frequency a person can hear is $20,000\, Hz$)
    View Solution
  • 4
    In an experiment to study standing waves, you use a string whose mass per length is $μ$ = $(1.0 ± 0.1) × 10^{-4}\ kg/m$ . You look at the fundamental mode, whose frequency $f$ is related to the length $L$ and tension $T$ of the string by the following equation $L$ = $\frac{1}{{2f}}\sqrt {\frac{T}{\mu }} $ You make a plot with $L$ on the $y-$ axis and $\sqrt T$ on the $x-$ axis, and find that the best fitting line is $y$ = $(8.0 ± 0.3) × 10^{-3}x + (0.2 ± 0.04)$ in $SI\ units$ . What is the value of the frequency of the wave (including the error)? Express your result in $SI\ unit\ (Hz)$
    View Solution
  • 5
    A uniform thin rope of length $12\, m$ and mass $6\, kg$ hangs vertically from a rigid support and a block of mass $2\, kg$ is attached to its free end. A transverse short wavetrain of wavelength $6\, cm$ is produced at the lower end of the rope. What is the wavelength of the wavetrain (in $cm$ ) when it reaches the top of the rope $?$
    View Solution
  • 6
    For a particular resonance tube, following are four of the six harmonics below $1000 Hz$; $300,600,750$ and $900 \,Hz$. The two missing harmonics are
    View Solution
  • 7
    In Quincke’s tube a detector detects minimum intensity. Now one of the tube is displaced by $5 \,\,cm$. During displacement detector detects maximum intensity $10$ times, then finally a minimum intensity (when displacement is complete). The wavelength of sound is .... $cm$
    View Solution
  • 8
    A police van, moving at $22\, m/s$ , chases a motor-cyclist. The police man sounds horn at $176\, Hz$ , while both of them move towards a stationary siren of frequency $165\, Hz$ as shown in the figure. If the motor-cyclist does not observe any beats, his speed must be .... $m/s$ (take the speed of sound $= 330\, m/s$ )
    View Solution
  • 9
    The phenomenon of sound propagation in air is
    View Solution
  • 10
    The equation of a travelling wave is given by$y = 0.5\sin (20x - 400t)$ where $x$ and $y$ are in meter and $t$ is in second. The velocity of the wave is .... $m/s$
    View Solution