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A progressive wave has an amplitude 5 m and wavelength 3 m. If the maximum average velocity of particle, in half time period, is 5 m s-1 and the wave is moving in the positive x-direction, then, which of the following may be the correct equation of the wave? (Here, x is in meter)

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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 x-axis. Its amplitude is 2 cm, velocity is 45 m s-1 and frequency is 75 Hz. Find out the displacement of the particle of the medium at a distance of 135 cm from the origin in the direction of the wave at t=3 s. Assume that the initial phase is zero.
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A traveling wave in a stretched string is described by the equation y=Asinkx-ωt. The maximum velocity of the particle is:
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A uniform rope of length 12 m and mass 6 kg, is swinging vertically from a rigid base. From its free end, one 2 kg mass is attached. At its bottom end, one transverse wave is produced of wavelength 0.06 m. At the upper end of the rope, the wavelength will be
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If the velocity of a wave is 360 m s-1 and its frequency is 500 Hz, then find the path difference corresponding to 60° 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 250 Hz. What is the velocity of the waves?

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At t = 0, transverse wave pulse traveling in the positive x direction with a speed of 2 m s-1 in a wire, is described by the function y=6x2, given that x0. Its velocity at x=2 m and t= 2 s will be:
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A violin string oscillating in its fundamental mode, generates a sound wave with frequency f. To generate a sound wave with frequency f2 by the string, still oscillating in its fundamental mode, tension must be changed by the multiple,
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A 5 W source sends out waves in air at frequency 1000 s-1. Deduce the intensity at a 100 m distance, assuming spherical distribution. If v=350 ms-1 and ρ=1.3 kg m-3, deduce the displacement amplitude.