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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Answer: Longitudinal Waves in Different Fluids. (a) A

Chapter 16, Problem 15E

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QUESTION:

Problem 15E

Longitudinal Waves in Different Fluids. (a) A longitudinal wave propagating in a water-filled pipe has intensity 3.00 × 10−6 W/m2 and frequency 3400 Hz. Find the amplitude A and wavelength λ of the wave. Water has density 1000 kg/m3 and bulk modulus 2.18 × 109 Pa. (b) If the pipe is filled with air at pressure 1.00 × 105 Pa and density 1.20 kg/m3, what will be the amplitude A and wavelength A of a longitudinal wave with the same intensity and frequency as in part (a)? (c) In which fluid is the amplitude larger, water or air? What is the ratio of the two amplitudes? Why is  this ratio so different from 1.00?

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QUESTION:

Problem 15E

Longitudinal Waves in Different Fluids. (a) A longitudinal wave propagating in a water-filled pipe has intensity 3.00 × 10−6 W/m2 and frequency 3400 Hz. Find the amplitude A and wavelength λ of the wave. Water has density 1000 kg/m3 and bulk modulus 2.18 × 109 Pa. (b) If the pipe is filled with air at pressure 1.00 × 105 Pa and density 1.20 kg/m3, what will be the amplitude A and wavelength A of a longitudinal wave with the same intensity and frequency as in part (a)? (c) In which fluid is the amplitude larger, water or air? What is the ratio of the two amplitudes? Why is  this ratio so different from 1.00?

ANSWER:

Solution 15E

Step 1 of  11:

(a) A longitudinal wave propagating in a water-filled pipe has intensity 3.00 × 10−6 W/m2 and frequency 3400 Hz. Find the amplitude A and wavelength λ of the wave. Water has density 1000 kg/m3 and bulk modulus 2.18 × 109 Pa.

Given data,

Intensity,

Frequency, f= 3400 Hz

Density, =1000

Bulk modulus, B=

To calculate,

Speed of sound v=?

Wavelength,

Pressure, P=?

Amplitude, A=?

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