A guitar string of length $90\,cm$ vibrates with a fundamental frequency of $120\,Hz.$ The length of the string producing a fundamental frequency of $180\,Hz$ will be $...........cm$.
  • A$60$
  • B$59$
  • C$58$
  • D$57$
JEE MAIN 2023, Easy
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 displacement due to a wave moving in the positive $x-$direction is given by $y = \frac{1}{{(1 + {x^2})}}$ at time $t = 0$ and by $y = \frac{1}{{[1 + {{(x - 1)}^2}]}}$ at $t = 2$ seconds, where $x$ and $y$ are in metres. The velocity of the wave in $m/s$ is
    View Solution
  • 2
    Two sources of sound placed close to each other, are emitting progressive waves given by
     $y_1 = 4\,\,sin\,\,600\pi t$ and  $y_2 = 5\,\,sin\,\,608\pi t.$

    An observer located near these two sources of sound will hear

    View Solution
  • 3
    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
  • 4
    Two sound waves of wavelength ${\lambda _1}$ and ${\lambda _2}$ $\left( {{\lambda _2} > {\lambda _1}} \right)$ produce $n\, beats/s$, the speed of sound is
    View Solution
  • 5
    If the length of a stretched string is shortened by $40\%$ and the tension is increased by $44\%$, then the ratio of the final and initial fundamental frequencies is
    View Solution
  • 6
    In the standing wave shown, particles at the positions $A$ and $B$ have a phase difference of
    View Solution
  • 7
    A bus is moving with a velocity of $5 m/s$ towards a huge wall. the driver sounds a horn of frequency $165 Hz.$ If the speed of sound in air is $355 m/s,$ the number of beats heard per second by a passenger on the bus will be
    View Solution
  • 8
    $Assertion :$ The change in air pressure affects the speed of sound.
    $Reason :$ The speed of sound in gases is proportional to the square of pressure.
    View Solution
  • 9
    The amplitude of a wave represented by displacement equation $y = \frac{1}{{\sqrt a }}\sin \omega t \pm \frac{1}{{\sqrt b }}\cos \omega t$ will be
    View Solution
  • 10
    The frequencies of two sound sources are $256 Hz$ and $260 Hz$. At $t = 0,$ the intensity of sound is maximum. Then the phase difference at the time $t = \frac{1}{16}\, sec$ will be
    View Solution