The equation of a wave is represented by $y = {10^{ - 4}}\sin \,\left[ {100\,t - \frac{x}{{10}}} \right].$ The velocity of the wave will be .... $m/s$
AIPMT 2001, Easy
Download our app for free and get startedPlay store
(d) $v = \frac{\omega }{k} = \frac{{100}}{{1/10}} = 1000\,m/s$
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
    Which of the following is the longitudinal wave
    View Solution
  • 2
    Water waves are
    View Solution
  • 3
    Fundamental frequency of sonometer wire is $n$. If the length, tension and diameter of wire are tripled, the new fundamental frequency is
    View Solution
  • 4
    A standing wave in a pipe with a length $L=1.2 \,m$ is described by $y(x, t)=y_0 \sin [(2 \pi / L) x] \sin [(2 \pi / L) x+\pi / 4]$ based on above information, which one of the following statement is incorrect? (Speed of sound in air is $300 \,ms ^{-1}$ )
    View Solution
  • 5
    An earthquake generates both transverse $(S)$ and longitudinal $(P)$ sound waves in  the earth. The speed of $S$ waves is about $4.5\,km/s$ and that of $P$ waves is about  $8.0\, km/s$. A seismograph records $P$ and $S$ waves from an earthquake. The first  $P$ wave arrives $4.0 \,min$ before the first $S$ wave. The epicenter of the  earthquake is located at a distance about ..... $km$
    View Solution
  • 6
    The equation of a progressive wave is $y = 8\sin \left[ {\pi \left( {\frac{t}{{10}} - \frac{x}{4}} \right) + \frac{\pi }{3}} \right]$. The wavelength of the wave is .... $m$
    View Solution
  • 7
    Sound wave travels with a velocity of $300\, m\, s^{-1}$ through a gas. $9\, beats$ are produced in $3\, s$ when two waves pass through it simultaneously. If one of the waves has $2\, m$ wavelength, the wavelength of the other wave is ..... $m$
    View Solution
  • 8
    The pressure wave, $P = 0.01\,sin\,[1000t -3x]\,Nm^{-2},$ corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is $0\,^oC.$ On some other day when temperature is $T,$ the speed of sound produced by the same blade and at the same frequency is found to be $336 \,ms^{-1}$. Approximate value of $T$ is .... $^oC$
    View Solution
  • 9
    Two sitar strings $A$ and $B$ playing the note $'Ga'$ are slightly out of tune and produce beats of frequency $6\,Hz$ . The tension in the string $A$ is slightly reduced and the beat frequency is found to reduce to $3\,Hz$. If the original frequency of $A$ is $324\,Hz$, what is the frequency of $B$ ..... $Hz$
    View Solution
  • 10
    Three sound waves of equal amplitudes have frequencies $(n - 1 ), n, (n + 1 ).$ They superimpose to give beats. The number of beats produced per second will be 
    View Solution