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JiTT Exercises
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Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

1
If the length of a guitar string is decreased while the tension remains constant, what happens to each of these quantities? (a) the wavelength of the fundamental, (b) the frequency of the fundamental, (c) the time for a pulse to travel the length of the string, (d) the maximum velocity of a point on the string (assuming the amplitude is the same both times), (e) the maximum acceleration of a point on the string (assuming the amplitude is the same both times).
2
The intensity of the sound wave from a jet airplane is 9.2 W/m2 at a distance of 120 m. What is the intensity of the sound wave that reaches the ground when the airplane flies overhead at an altitude of 8.6 km? Assume that the sound wave radiates from the airplane equally in all directions.
3
What is the speed of a wave whose frequency and wavelength are 500.0 Hz and 0.500 m, respectively?
4
What is the frequency of a wave whose speed and wavelength are 120 m/s and 30.0 cm, respectively?
5
You are swimming in the ocean as water waves with wavelength 9.6 m pass by. What is the closest distance that another swimmer could be so that his motion is exactly opposite yours (he goes up when you go down)?
6
Write an equation for a sine wave with amplitude 0.120 m, wavelength 0.300 m, and wave speed 6.40 m/s traveling in the -x-direction.
7
Light of wavelength 0.500 μm (in air) enters the water in a swimming pool. The speed of light in water is 0.750 times the speed in air. What is the wavelength of the light in water?
8
A sound wave with intensity 25 mW/m2 interferes constructively with a sound wave with intensity 15 mW/m2. What is the intensity of the superposition of the two?
9
A string 2.0 m long is held fixed at both ends. If a sharp blow is applied to the string at its center, it takes 0.050 s for the pulse to travel to the ends of the string and return to the middle. What is the fundamental frequency of oscillation for this string?







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