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  1. A student makes the following statements about waves. I In a transverse wave, the particles vibrate parallel to the direction of travel of the wave. II Light waves and water waves are both transverse waves.

  2. The point where » = +A is typically called the \crest" of the wave and the point where » = ¡A is called the \trough" of the wave.2 The distance from crest to crest (or trough to trough) is called the \wavelength," the distance between points on the wave which have the same phase at the same instant of time.

  3. Find the (a) amplitude, (b) wave number, (c) angular frequency, (d) wave speed, (e) initial phase shift, (f) wavelength, and (g) period of the wave. A surface ocean wave has an amplitude of 0.60 m and the distance from trough to trough is 8.00 m.

  4. The wavelength, λ, is the distance that over which the wave repeats itself. The peaks are 8.0 m apart, so λ = 8.0 m. The amplitude, A, of a wave is the height of the wave above average height, or one­half the peak­to­ trough distance. Hence A = ½(3.0 m) = 1.5 m.

  5. The amplitude of a wave is given by the height of the peak, so A = 0.025 m. Next recall that the formula for a wave on a string is given by y = Asin(kx ± ωt + φ 0 ). For waves moving to the left, we need

  6. In many real-world situations, the velocity of a wave depends on its amplitude, so v = v(f). In this case, the solutions can be hard to determine. Fortunately, this is not the case for electromagnetic waves.

  7. The amplitude is 0.020 cm, the wavelength is 0.658 m, and the frequency is 524 Hz. The displacement is at its most negative value at x = 0, t = 0, and so the wave can be represented by a

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