Explanation Given info: The frequency of the sound in the air is 1000 Hz , the displacement amplitude of the wave is 1.2 × 10 − 8 m , the pressure amplitude of the pressure is 3.0 × 10 − 2 Pa , the bulk modulus of water is 2.2 × 10 9 Pa , the speed of the sound under the water is 1480 m/s . Section 1: To determine: The displacement amplitude produced by the sound waves in 20 ° C water having pressure amplitude of 3.0 × 10 − 2 Pa . Answer: The displacement amplitude of the wave is 3.2 × 10 − 12 m . Explanation: Given info: The frequency of the sound in the air is 1000 Hz , the displacement amplitude of the wave is 1.2 × 10 − 8 m , the pressure amplitude of the pressure is 3.0 × 10 − 2 Pa , the bulk modulus of water is 2.2 × 10 9 Pa , the speed of the sound under the water is 1480 m/s . Formula to calculate the displacement amplitude of the sound under the water is, A w a t e r = P max B k (I) A w a t e r is the displacement amplitude of the sound under the water. P max is the pressure amplitude. B is the bulk modulus of the water. k is the number of waves. Formula to calculate the number of wave of the sound is, k = 2 π f v f is the frequency. v is the speed of the wave. Substitute 1000 Hz for f and 1480 m/s for v in the above equation to find k . k = 2 π ( 1000 Hz ) ( 1480 m/s ) = 4

14th Edition

ISBN: 9780133969290

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Chapter 16, Problem 16.2E

To determine

The displacement amplitude produced by the sound waves in 20° C water having pressure amplitude of 3.0×10−2 Pa , and the comparison of the value of displacement amplitude in water with that of in air.

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Chapter 16, Problem 16.1E

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The displacement amplitude produced by the sound waves in 20 ° C water having pressure amplitude of 3.0 × 10 − 2 Pa , and the comparison of the value of displacement amplitude in water with that of in air.

Solution Summary: The author compares the displacement amplitude produced by the sound waves in 20°C water with that of in air.

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The displacement amplitude produced by the sound waves in 20° C water having pressure amplitude of 3.0×10−2 Pa , and the comparison of the value of displacement amplitude in water with that of in air.

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Chapter 16 Solutions