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# PHYS 101 Chapter 11 homework

Course Number: PHYS 101, Spring 2008

College/University: Tulane

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10/30/07 PHYS 101-02 Chapter 11 Homework Exercises 5. How far, in terms of wavelength, does a wave travel in one period? The wave travels a distance equal to its speed. 11. Sound from source A has twice the frequency of sound from Source B. Compare the wavelengths of sound from the two sources. The sound from source A will have a smaller wavelength than the sound from source B. 17. If a bell is ringing inside a...

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PHYS 10/30/07 101-02 Chapter 11 Homework Exercises 5. How far, in terms of wavelength, does a wave travel in one period? The wave travels a distance equal to its speed. 11. Sound from source A has twice the frequency of sound from Source B. Compare the wavelengths of sound from the two sources. The sound from source A will have a smaller wavelength than the sound from source B. 17. If a bell is ringing inside a bell jar, we can no longer hear it when the air is pumped out, but we can still see it. What differences in the properties of sound and light does this indicate? In an environment where no oxygen is present, sound has nothing to refract off of, even though the action is still occurring. 21. If the frequency of sound is doubled, what change will occur in its speed? What change will occur in its wavelength? If the frequency of sound is doubled, the sound's speed will also double, while the wavelength will be cut in half. 26. A rule of thumb for estimating the distance in kilometers between an observer and a lightning strike is to divide the number of seconds in the interval between the flash and the sound by 3. Is this rule correct? This rule is not exactly correct, but quite close. The speed of sound in air is 340 m/s, which is about 1/3 of 1 km, so the rule makes sense. 38. When you blow your horn while driving toward a stationary listener, an increase in frequency of the horn is heard by the listener. Would the listener hear an increase in the frequency of the horn if he were also in a car traveling at the same speed in the same direction as you are? Explain. The frequency of the horn would remain the same, because the time that the sound takes to reach the listener will remain constant. 42. Would it be correct to say that the Doppler effect is the apparent change in the speed of a wave due to the motion of the source? (Why is this question a test of reading comprehension as well as a test of physics knowledge?) This statement would be incorrect. The speed of the wave is not changing, the main element that creates this effect is the location of the moving sound in relation to the location of the listener. Problems 3. A weight suspended from a spring is seen to bob up and down over a distance of 20 cm twice each second. What is its frequency? Its period? Its amplitude? Its frequency 2 is Hz, period is .5 s, amplitude is 10 cm. 9. What is the wavelength of a typical T wave whose frequency is 7 Hz? (The speed of sound in seawater is 1530 m/s) 1530 m/s = wavelength x 7 Hz wavelength = 218.57 m 10. An oceanic depth-sounding vessel surveys the ocean bottom with ultrasonic waves that travel 1530 m/s in seawater. How deep is the water directly below the vessel if the time delay of the echo to the ocean floor and back is 6 s? d = 1530 m/s x 3 s d = 4590 m Mason Ginsberg 10/30/07 PHYS 101-02 If sound was a transverse wave and not a longitudinal wave how would that change the way that we perceive the world? To answer this question, it is first essential to understand the key properties of both. In the case of a longitudinal wave, the waves are parallel to their direction of motion, whereas transverse waves are perpendicular to their direction of motion [1]. The way that sound currently travels as a longitudinal wave, we as humans can hear a wide variety of pitches; although this range diminishes as we age, we can still hear a large amount. If someone is speaking directly to us, all sound waves are moving toward us no matter what the pitch. What if sound was a transverse wave instead, though? Most importantly, communication through speech would be incredibly more difficult, if not impossible. If that same person before tried speaking to us again with sound being a transverse wave, we would only be able to clearly hear one pitch, the one "central" pitch that remains in the middle of the wave. Any sounds of higher or lower pitch would miss us completely, making us unable to hear this pitch. If this scenario were actually the case, we would have to figure out a way to deflect the sound back to our ears in the correct direction, obviously depending on the level of the pitch. If not, our world would more than likely be a world that survived without the luxury of hearing. Though our hearing would not be affected, what we here obviously would, making it very difficult to communicate in this manner. We could still communicate with each other through methods such as sign language, but many common forms of entertainment would be completely altered. References: [1] http://cnx.org/content/m12378/latest/ [2] http://www.physicsclassroom.com/Class/sound/u11l1c.html

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