The equation of wave is given by $Y=10^{-2} \sin 2 \pi\left(160 t-0.5 x+\frac{\pi}{4}\right)$ Where $x$ and $Y$ are in $m$ and $t$ in $s$. The speed of the wave is $.....\,km h ^{-1}$
JEE MAIN 2023, Easy
Download our app for free and get startedPlay store
$V =\frac{\omega}{ k }=\frac{2 \pi \times 60}{2 \pi \times 0.5}=\frac{160}{0.5}\,m / s$

$=\frac{160}{0.5} \times \frac{18}{5}\,km / h$

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 similar open organ pipe of length $50\, cm$ and $50.5\, cm$ produce $3$ beats per second when sounded together. The velocity of sound in air is ........ $m/s$
    View Solution
  • 2
    The diagram below shows as instantaneous position of a string as a transverse progressive wave travels along it from left to right Which one of the following correctly shows the direction of the velocity of the points $1,2$ and $3$ on the string
    View Solution
  • 3
    In a wave motion $y = a\sin (kx - \omega t)$, $y$ can represent
    View Solution
  • 4
    If the tension of sonometer’s wire increases four times then the fundamental frequency of the wire will increase by .... $ times$
    View Solution
  • 5
    Coherent sources are characterized by the same
    View Solution
  • 6
    The engine of a train moving with speed $10\,ms ^{-1}$ towards a platform sounds a whistle at frequency $400\,Hz$. The frequency heard by a passenger inside the train is $........\,Hz$ (neglect air speed. Speed of sound in air $330\,ms ^{-1}$ )
    View Solution
  • 7
    Equation of a progressive wave is given by $y = 4\sin \left\{ {\pi \left( {\frac{t}{5} - \frac{x}{9}} \right) + \frac{\pi }{6}} \right\}$. Then which of the following is correct
    View Solution
  • 8
    A string fixed at one end is vibrating in its second overtone. The length of the string is $10\ cm$ and maximum amplitude of vibration of particles of the string is $2\ mm$ . Then the amplitude of the particle at $9\ cm$ from the open end is
    View Solution
  • 9
    At a certain moment, the photograph of a string on which a harmonic wave is travelling to the right is shown. Then, which of the following is true regarding the velocities of the points $P, Q$ and $R$ on the string.
    View Solution
  • 10
    A steel rod $100\,cm$ long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be $2.53\,kHz$. What is the speed of sound in steel ...... $km/sec$
    View Solution