The equation of a transverse wave is given by $y = 10\sin \pi (0.01x - 2t)$ where $x$ and $y$ are in $cm$ and $t$ is in second. Its frequency is .... ${\sec ^{ - 1}}$
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(c) Comparing with the standard equation,
$y = A\sin \frac{{2\pi }}{\lambda }(vt - x)$, we have
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A transverse wave is passing through a stretched string with a speed of $20\ m/s.$ The tension in the string is $20\ N$. At a certain point $P$ on the string, it is observed that energy is being transferred at a rate of $40 \ mW$ at a given instant. Find the speed of point $P$.
Sound waves of frequency $660 \,\,Hz$ fall normally on a perfectly reflecting wall. The shortest distance from the wall at which the air particle has maximum amplitude of vibration is .... $m$ (velocity of sound in air is $330 \,\,m/s$)
At a moment in a progressive wave, the phase of a particle executing $S.H.M.$ is $\frac{\pi }{3}$. Then the phase of the particle $15 cm$ ahead and at the time $\frac{T}{2}$ will be, if the wavelength is $60 cm$
A transverse sinusoidal wave of amplitude $a,$ wavelength $\lambda$ and frequency $n$ is travelling on a stretched string. The maximum speed of any point on the string is $v/10,$ where $v$ is the speed of propagation of the wave. If $a = {10^{ - 3}}\,m$ and $v = 10\,m{s^{ - 1}}$, then $\lambda$ and $n$ are given by
A source of sound of frequency $90$ vibrations/ sec is approaching a stationary observer with a speed equal to $1/10$ the speed of sound. What will be the frequency heard by the observer .... $vibrations/sec$
Two tuning forks have frequencies $450\, Hz$ and $454\, Hz$ respectively. On sounding these forks together, the time interval between successive maximum intensities will be .... $sec$
A progressive wave travelling along the positive $x-$ direction is represented by $y(x, t) = A\,sin\,\left( {kx - \omega t + \phi } \right)$. Its snapshot at $t = 0$ is given in the figure For this wave, the phase $\phi $ is
A source and listener are both moving towards each other with speed $v/10$, where $v$ is the speed of sound. If the frequency of the note emitted by the source is $f$, the frequency heard by the listener would be nearly