PHY1 Review for Exam 10 Topics 1. Sound a. Longitudinal waves b. Pitch and frequency c. Speed of sound d. Doppler Effect e. Loudness and Decibels f. Interference/beats 2. Music a. Octaves b. c. d. e. Fundamentals and overtones String instruments Open tubes Closed tubes Equations v=fλ f = 1/T v = B/p v = [Ft/(m/L)]1/2 v = 331 + 0.6T β = 10 log [I/Io] Multiple Choice Questions 1. What is the speed of sound in air on a hot day, 30°C? (1) 3.31 x 102 m/s (2) 3.43 x 102 m/s (3) 3.49 x 102 m/s (4) 3.00 x 108 m/s 2. Middle C on a piano has a frequency of 262 Hertz. What is the frequency of the C that is one octave above middle C? (1) 131 Hz (3) 393 Hz (2) 262 Hz (4) 524 Hz 3. What is the length of a piano string that produces a frequency of 262 Hz and in which the speed of the sound wave is 262 m/s (1) 0.5 m (3) 1.5 m (2) 1.0 m (4) 2.0 m 4. A vibrating closed tube resonator produces a fundamental resonance when a tuning fork is held over the top of the tube. How long would the column of air have to be to produce resonance for the first overtone? (1) ¼ λ (3) ½ λ (2) ¾ λ (4) λ 5. A loud speaker is creating a single frequency sound. If a person moves away from the speaker and then stops. The frequency of the sound is (1) The same as when the person was closer to the speaker. (2) Higher than when the person was closer to the speaker. (3) Lower than when the person was closer to the speaker. 6. A stationary person is 100. m away from another stationary person on a day when the temperature is 20° C. How long does it take for a sound spoken by the first person to reach the second person? (1) 1.0 s (3) 3.4 x 104 s (2) 0.29 s (4) 3.43 s PHY1 Review for Exam 10 7. Two tuning forks are struck and listened to simultaneously, producing a beat frequency of 4.0 Hz. If one of the tuning forks is known to produce a 440 Hz note, which of the following is a possible frequency of the second tuning fork? (1) 440 Hz (3) 4 Hz (2) 880 Hz (4) 444 Hz 8. Which of the following musical instruments is an example of a closed tube resonator? (1) pipe organ (2) trumpet (3) piano (4) violin 9. Which of the following represents the loudest sound? (1) 262 Hz and 120 dB (2) 330 Hz and 100 dB (3) 415 Hz and 50 dB (4) 440 Hz and 20 dB 10. What two properties of a material determine the speed of sound in that material? (1) Refractive index and elastic modulus (2) Density and elastic modulus (3) Refractive index and density 11. In an open tube resonator, the standing wave created inside of the tube must always meet which of the following conditions? (1) A node must be in the center of the tube. (2) An antinode must be in the center of the tube. (3) Antinodes must occur at the ends of the tube. (4) Nodes must occur at the ends of the tube. 12. When a sound wave passes from air into water, which of the following does not change? (1) speed (3) wavelength (2) frequency (4) pitch 13. Which of the following properties of sound are inversely related? (1) speed and frequency (2) speed and wavelength (3) wavelength and frequency 14. What is the decibel level of a sound that has an intensity of 1.0 W/m2, if the threshold of hearing is 1.0 x 10-12 W/m2? (1) 0 dB (3) 120 dB (2) 70 dB (4) 140 dB 15. Which of the following notes has a pitch higher than A# (466 Hz) (1) G (392 Hz) (3) B (494 Hz) (2) D (277 Hz) (4) C (262 Hz) PHY1 Review for Exam 10 Short Answers 16. Briefly explain why not all of the strings of a piano are made of the same wire, with the lower pitched notes being made by strings with a larger diameter than the higher pitched notes. 17. What is the length of an organ pipe that emits middle C (262 Hz) when the temperature is 21°C? 18. A person at a rock concert sits 20 meters from a loud speaker and experiences a sound level of 110 dB. (a) What is the intensity of the sound that her eardrums hear if the threshold level of sound is 10-12 W/m2? (b) If the average eardrum has a radius of 1.0 cm, what is the average power that the eardrums experience? PHY1 Review for Exam 10 19. A highway overpass was observed to resonate as one full loop when a small earthquake shook the ground vertically at 4.0 Hz. The highway department put a support at the center of the overpass, anchoring it to the ground. What resonate frequency would you now expect for the overpass? Earthquakes rarely produce frequencies that exceed 6 Hz. Was this modification an effective safeguard to prevent the collapse of the bridge? Explain your answer and provide a drawing of the bridge before and after the modification. 20. A sailor strikes the side of a ship just below the waterline. He hears the echo of the sound reflected from the ocean floor directly below 2.0 s later. How deep is the ocean below this ship if the sound travels through the seawater with a speed of 1440 m/s.
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