The sound waves of a person's voice are produced by the vocal cords. We will model the vocal cords as a string fixed at both ends, so the sound waves are produced by standing waves on the string. The average fundamental frequency of a person's speaking voice is 125 Hz for adult males and 210 Hz for adult females. a. Assuming all adults have the same tension and mass per unit length in their vocal cord "string", predict whether males or females would have longer vocal cords, or if they would be the same length. Explain your reasoning. b. Measurements have found that the vocal cords in males are about 17 to 25 mm long, and the vocal cords in females are about 12 to 17 mm long. Does this match your prediction? If not, why not? c. Suppose a person's vocal cords are 17 mm long with a fundamental frequency of 170 Hz. At this frequency, what are the wavelength and the speed of the waves on the vocal cord "string"? d. Draw a sketch of the standing wave on the vocal cord "string" for the fundamental frequency and two other possible frequencies, and determine what those frequencies are. e. The vibrations of the vocal cords cause vibrations in the air, producing sound waves. Comparing the sound waves in air and the waves on the vocal cord "string", do they have the same wavelength, frequency, or both? Explain your reasoning. Note that the speed of sound waves in air at room temperature is about 343 m/s. f. The human voice is not just limited to the fundamental frequency and the other frequencies you calculated in part e. How could the human voice produce a wide range of different frequencies? g. At a distance of 1 m, the intensity of sound waves from a person's voice in normal conversation is about 1.0 x 10-6 W/m2. What is the intensity level (in dB) of these sound waves? The threshold of hearing is le = 1.0 x 10-12 W/m² h. Assuming the sound waves produced by a person's voice travel in all directions, how far away is a listenerstanding if the intensity level of a person's voice is 80 dB?