Example 16.1 (Section 16.1) showed that for sound waves in air with frequency 1000 Hz, a displacement amplitude of 1.2 × 10 −8 m produces a pressure amplitude of 3.0 × 10 −2 Pa. (a) What is the wavelength of these waves? (b) For 1000-Hz waves in air, what displacement amplitude would be needed for the pressure amplitude to be at the pain threshold, which is 30 Pa? (c) For what wavelength and frequency will waves with a displacement amplitude of 1.2 × 10 −8 m produce a pressure amplitude of 1.5 × 10 −3 Pa?
Example 16.1 (Section 16.1) showed that for sound waves in air with frequency 1000 Hz, a displacement amplitude of 1.2 × 10 −8 m produces a pressure amplitude of 3.0 × 10 −2 Pa. (a) What is the wavelength of these waves? (b) For 1000-Hz waves in air, what displacement amplitude would be needed for the pressure amplitude to be at the pain threshold, which is 30 Pa? (c) For what wavelength and frequency will waves with a displacement amplitude of 1.2 × 10 −8 m produce a pressure amplitude of 1.5 × 10 −3 Pa?
Example 16.1 (Section 16.1) showed that for sound waves in air with frequency 1000 Hz, a displacement amplitude of 1.2 × 10−8 m produces a pressure amplitude of 3.0 × 10−2 Pa. (a) What is the wavelength of these waves? (b) For 1000-Hz waves in air, what displacement amplitude would be needed for the pressure amplitude to be at the pain threshold, which is 30 Pa? (c) For what wavelength and frequency will waves with a displacement amplitude of 1.2 × 10−8 m produce a pressure amplitude of 1.5 × 10−3Pa?
A sound wave arriving at your ear is transferred to the fluid in the cochlea. If the intensity in the fluid is 0.410 times that in air and the frequency is the same as for the wave in air, what will be the ratio of the pressure amplitude of the wave in air to that in the fluid? Approximate the fluid as having the same values of density and speed of sound as water. Speed of sound in dry air (20.0°C, 1.00 atm) is 343 m/s, density of dry air (at STP) is 1.29 kg/m3, density of water is 1000 kg/m3, and speed of sound in water is 1493 m/s.
According to Section 16.10, the smallest detail that can be resolved by medical ultrasound is essentially equal to one wavelength of the sound. (a) If the speed of a 2.20 MHz (1MHz=106 Hz) ultrasonic wave in human tissue is 1540 m/s what is the size in mm of the smallest structure that can be observed (1000 mm=1 m)?(b) How far below the surface of the skin can the sound waves penetrate? Assume their maximum penetration depth is 2.00 x 10^2 wavelengths. (c) How long would it take the sound waves to leave the transmitter, reach their maximum depth, and return to the receiver at the skin's surface?
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A bat sends of a sound wave 100 kHz and the sound waves travel through air at a speed of v=343m/s.�=343m/s. (a) If the maximum pressure difference is 1.30 Pa, what is a wave function that would model the sound wave, assuming the wave is sinusoidal? (Assume the phase shift is zero.) (b) What are the period and wavelength of the sound wave?
Chapter 16 Solutions
University Physics with Modern Physics (14th Edition)
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