Question

1. A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If the tension in the cord is 140 N, how long will it take a pulse to travel from one support to the other?

2. A 50.0 Kg ball hangs from a steel wire 1.00 mm in diameter and 6.00 m long. What would be the speed of a wave in the steel wire?

3. The intensity of an earthquake wave passing through the earth is measured to be 3.0 x 106 J/m2 .s at a distance of 48 km from the source.

(a) What was its intensity when it passed a point only 1.0 Km from the source?

(b) At what rate did energy pass through an area of 2.0 m2 at 1.0 km?

4. If a cord is under a tension of 125 N and has mass per unit length 0.10 kg/m, what power is required to transmit 120 Hz transverse waves of amplitude 2.0 cm?

5. A 524 Hz longitudinal wave in air has a speed of 345 m/s.

(a) What is the wavelength?

(b) How much time is required for the phase to change by 900 at a given point in space?

(c) At a particular instant, what is the phase difference (in degrees) between two points 4.4 cm apart?

6. The velocity of waves on a string is 96 m/s. If the frequency of standing waves is 445 Hz, how far apart are the two adjacent nodes?

7. A guitar string is 90.0 cm long and has a mass of 3.16 g. From the bridge to the support post is 60.0 cm and the string is under a tension of 520 N. What are the frequencies of the fundamental and the first two overtones?

8. A 65 cm guitar string is fixed at both ends. In the frequency range between 1.0 and 2.0 KHz, the string is found to resonate only at frequencies 1.2, 1.5 and 1.8 kHz. What is the speed of travelling waves on this string?

9. A particular violin string plays at a frequency of 294 Hz. If the tension is increased 15%, what will the new frequency be?

10. The amplitude, angular frequency, and wave number of a transverse traveling wave are 4.00 m, 12.0 rad/s, and 4.00 rad/m, respectively. At what speed does it transfer energy from place to place?

11. Find the speed of the wave-function y(x,t) = 2/(x -3t^2) + 1

12. A microphone is placed at a distance of 3.40 m on the perpendicular bisector of a line joining two speakers that are separated by 3.00 m. By what distance should the microphone be moved parallel to the speakers so that the next maximum is heard? The frequency of sound produced by the speakers is 455 Hz.

Answer 1

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