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Chapter 16: Q. 26 (page 452)

A 440 Hz sound wave in 20掳C air propagates into the water of a swimming pool. What are the wave鈥檚 (a) frequency and (b) wavelength in the water?

Short Answer

Expert verified

Part a

The frequency of the wave is 440Hz.

Part b

The wavelength of the sound wave in water is3.4m.

Step by step solution

01

Given information

The frequency of a sound wave in the air at20掳Cisf=440Hz.

02

Part a

As the harmonic oscillators in one medium excite the oscillators in another medium, the frequency must remain the same.

Therefore, the frequency of the wave is440Hz.

03

Part b

Speed of sound in water is v=1480m/s.

The relation between wavelength, frequency, and speed of the wave is given by 位=vf.

Substitute the given values

位=1480440鈮�3.4m

Therefore, the wavelength of the sound wave in water is3.4m.

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