The equation of a progressive wave is $y = a\,\sin \,\left( {\frac{\pi }{2}x - 200\pi t} \right)$ . The frequency of the wave will be .... $Hz$
Easy
Download our app for free and get startedPlay store
$\omega  = 200\pi $

$2\pi \nu  = 200\pi \,\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\nu  = 100\,Hz$

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
    Two persons $A$ and $B$, each carrying a source of sound of frequency $n$, are standing a few metres apart in a quiet field. $A$ starts moving towards $B$ with a speed $u$. If $v$ is the speed of sound, the number of beats heard per second by $A$ will be
    View Solution
  • 2
    A block $\mathrm{M}$ hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at $O$. A transverse wave pulse (Pulse $1$ ) of wavelength $\lambda_0$ is produced at point $O$ on the rope. The pulse takes time $T_{O A}$ to reach point $A$. If the wave pulse of wavelength $\lambda_0$ is produced at point $A$ (Pulse $2$) without disturbing the position of $M$ it takes time $T_{A 0}$ to reach point $O$. Which of the following options is/are correct?

    (image)

    [$A$] The time $\mathrm{T}_{A 0}=\mathrm{T}_{\mathrm{OA}}$

    [$B$] The velocities of the two pulses (Pulse $1$ and Pulse $2$) are the same at the midpoint of rope.

    [$C$] The wavelength of Pulse $1$ becomes longer when it reaches point $A$.

    [$D$] The velocity of any pulse along the rope is independent of its frequency and wavelength.

    View Solution
  • 3
    For a solid rod, the Young's modulus of elasticity is $3.2 \times 10^{11}\,Nm ^{-2}$ and density is $8 \times 10^3\,kg\,m ^{-3}$. The velocity of longitudinal wave in the rod will be $......... \times 10^{3}\,ms^{-1}$
    View Solution
  • 4
    Two waves represented by the following equations are travelling in the same medium ${y_1} = 5\sin 2\pi (75t - 0.25x)$, ${y_2} = 10\sin 2\pi (150t - 0.50x)$ The intensity ratio ${I_1}/{I_2}$ of the two waves is
    View Solution
  • 5
    The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is
    View Solution
  • 6
    A resonating air column shows resonance with a tuning fork of frequency $256\, Hz$ at column lengths $33.4\, cm$ and $101.8\, cm$. The speed of sound in air is ...... $ms^{-1}$
    View Solution
  • 7
    Oxygen is $16$ times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is
    View Solution
  • 8
    A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is $\left(\frac{a-1}{a}\right)$ then the value of $a$ is
    View Solution
  • 9
    If $v$ is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency $n$
    View Solution
  • 10
    Two sound waves of intensity $2 \,W / m ^2$ and $3 \,W / m ^2$ meet at a point to produce a resultant intensity $5 \,W / m ^2$. The phase difference between two waves is ......
    View Solution