PHYS113_homework#8

PHYS113_homework#8 - length of the rope, (b) the speed of...

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Department of Physics and Astronomy University of Canterbury PHYS113-08S2 Homework #8, 2008 (for week of September 22-26) Attempt all questions in writing before you come to the tutorial. All problems will be discussed with your tutor in group sessions in the tutorials. Hand in your written work to receive credit for the homework. 1. Strings A and B have identical lengths and linear densities, but string B is under greater tension than string A . The figure below shows four situations, ( a ) through ( d ), in which standing wave patterns exist on the two strings. In which situations is there the possibility that strings A and B are oscillating at the same resonant frequency? 2. A rope, under a tension of 200 N and fixed at both ends, oscillates in a second- harmonic standing wave pattern. The displacement of the rope is given by where x = 0 at one end of the rope, x is in metres, and t is in seconds. What are (a) the
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Unformatted text preview: length of the rope, (b) the speed of the waves on the rope, and (c) the mass of the rope? (d) If the rope oscillates in a third-harmonic standing wave pattern, what will be the period of oscillation? 3. In the figure below, two loudspeakers, separated by a distance of 2.00 m, are in phase. Assume the amplitudes of the sound from the speakers are approximately the same at the position of a listener, who is 3.75 m directly in front of one of the speakers, as shown. (a) For what frequencies in the audible range (20 Hz to 20 kHz) does the listener hear a minimum signal? (b) For what frequencies is the signal a maximum? 4. A point source emits 30.0 W of sound isotropically. A small microphone intercepts the sound in an area of 0.750 cm 2 , 200 m from the source. Calculate (a) the sound intensity (in decibels) there and (b) the power intercepted....
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PHYS113_homework#8 - length of the rope, (b) the speed of...

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