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A progressive wave has an amplitude and wavelength . If the maximum average velocity of particle, in half time period, is and the wave is moving in the positive -direction, then, which of the following may be the correct equation of the wave? (Here,is in )
(a)
(b)
(c)
(d)

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Important Questions on Waves
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A simple harmonic wave-train is travelling in a gas in the positive direction of the -axis. Its amplitude is , velocity is and frequency is . Find out the displacement of the particle of the medium at a distance of from the origin in the direction of the wave at . Assume that the initial phase is zero.

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A traveling wave in a stretched string is described by the equation . The maximum velocity of the particle is:

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If the velocity of a wave is and its frequency is then find the path difference corresponding to phase difference.

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The figure below shows the shape of a part of a long string in which transverse waves are produced by attaching one end of string to a tuning fork of frequency What is the velocity of the waves?

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At transverse wave pulse traveling in the positive direction with a speed of in a wire, is described by the function , given that . Its velocity at and will be:

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A source sends out waves in air at frequency . Deduce the intensity at a distance, assuming spherical distribution. If and , deduce the displacement amplitude.
