When a wave is reflected in the same medium (like water of the same depth), what can be said about the (a) velocity of the wave; (b) frequency of the wave; (c) wavelength? Why?
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When a wave is reflected in the same medium (like water of the same depth), what can be said about the (a) velocity of the wave; (b) frequency of the wave; (c) wavelength? Why?
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- A wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and an amplitude of 1.00 cm. The string vibrator operates at a voltage of 12.00 V and a current of 0.20 A. The power consumed by the string vibrator is P=IV . Assume that the string vibrator is 90% efficient at converting electrical energy into the energy associated with the vibrations of the string. The string is 3.00 m long, and is under a tension of 60.00 N. What is the linear mass density of the string?Waves in a lake are spaced 5.00 m and pass an anchored boat 1.25 sec apart. (a) How long before a particular wave crest can return to pass underneath a boat a hundred meters away from the shoreline? (d) if we will stay longer to see the boat tossed up and down a hundred times, how long will we have to wait?ii) Two waves, yı = 6 sin (533.8 t –942 x –11.38) and y2 = 8 sin (533.8t –942 x -20.8) interfere. Estimate (i) the frequency of each wave, (ii) the wavelength of each wave, (iii) the speed of each wave, (iv) the resultant intensity. (Note: All the quantities are measured in SI units).
- Waves in a lake are spaced 5.00 m and pass an anchored boat 1.25 sec apart. (a) How long before a particular wave crest can return to pass underneath a boat a hundred meters away from the shoreline? (b) if we will stay longer to see the boat tossed up and down a hundred times, how long will we have to wait?Let us list some of the factors, which could possibly influence the speed of wave propagation:(i) nature of the source.(ii) direction of propagation.(iii) motion of the source and/or observer.(iv) wavelength.(v) intensity of the wave. On which of these factors, if any, does(a) the speed of light in vacuum,(b) the speed of light in a medium (say, glass or water), depend?Doubling the frequency of a wave at constant speed O causes he wavelength to increase and crests to be farther apart o does not affect wavelength if speed is constant O causes the wavelength to be smaller and thus farther apart O causes the wavelength to be smaller and crests closer together
- 9. A plane seismic wave, travelling vertically downwards in a rock of density 2200 kg m-3 with seismic velocity 2000 m s-1, is incident on the horizontal top surface of a rock layer of density 2400 kg m-3 and seismic velocity 3300 m s-1. (a) What are the amplitude ratios of the transmitted and reflected waves? (b) What fraction of the energy of the incident wave is transmitted into the lower medium?3)(A)One end of a 50-cm wire of 2.05 g is welded to a 40-cm wire of 5.03 g. (a) If a wave moves along the first wire at a speed of 700 m/s, find its speed along the second wire. (b) If the wavelength on the first wire is 2.06 cm, find the wavelength of the wave on the second wire.(a) How do we determine the wavelength (λ) of a wave? (b) How does the amplitude of a wave relate to its intensity? (I.e. loudness, for sound) (c) How do frequency and wavelength relate? If one increases, what happens to the other?
- 101. Consider two wave functions that differ only by a phase shift, У (х, t) — А сos(kx — ot) and y2 (x, t) = A cos(kx – ot + p). Use the trigonometric и — у cos u + cos v = 2 cos("," cos(4) and identities со cos(-0) = cos(0) to find a wave equation for the wave resulting from the superposition of the two waves. Does the resulting wave function come as a surprise to you?A wave is described by the given wave function, 81 1+ 7. 6 TT y(x,()%3D0.65m sin 3 Calculate the following: 1) The velocity of the wave in meters per second = 2) The time period of the wave in seconds 3) The wavelength of the wave in meters = 4) The frequency of the wave in hertz =Does the wave’s direction of propagation go in the +x direction or the -x direction?