Question

Consider a sound wave of frequency $f$ generated in air by a loudspeaker. When this sound wave reaches a nearby lake, the sound wave propagates into the water, where it has the same frequency f. What is the ratio of the wavelength of the wave in the water to the wavelength in air?

Name: Problem 11, Chapter 13: College Physics: Reasoning and Relationships
Uploaded: 2022-02-12T18:31:19-08:00
Duration: 1 min 26 s
Channel: Mirza Aslam Beig
Description: Consider a sound wave of frequency f generated in air by a loudspeaker. When this sound wave reaches a nearby lake, the sound wave propagates into the water, where it has the same frequency f. What is the ratio of the wavelength of the wave in the water to the wavelength in air?

   Consider a sound wave of frequency $f$ generated in air by a loudspeaker. When this sound wave reaches a nearby lake, the sound wave propagates into the water, where it has the same frequency f. What is the ratio of the wavelength of the wave in the water to the wavelength in air?

College Physics: Reasoning and Relationships

Nicholas J.… 2nd Edition

Chapter 13, Problem 11

Instant Answer

Solved by Expert Mirza Aslam Beig

02/12/2022

Step 1

Step 1: We know that the speed of sound in a medium is given by the formula $v = f \lambda$, where $v$ is the speed of sound, $f$ is the frequency, and $\lambda$ is the wavelength. Show more…

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Consider a sound wave of frequency $f$ generated in air by a loudspeaker. When this sound wave reaches a nearby lake, the sound wave propagates into the water, where it has the same frequency f. What is the ratio of the wavelength of the wave in the water to the wavelength in air?

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Key Concepts

Speed of Sound

The speed of sound in a medium is determined by the medium's physical properties such as density and elasticity. In different media, sound travels at different speeds, which directly influences the wavelength when the frequency remains constant.

Frequency Invariance

The frequency of a sound wave remains unchanged when transitioning between different media. This invariance is crucial because it ensures that any change in the wave's speed results solely in a change in wavelength.

Wavelength Relationship

Wavelength is given by the equation ? = v / f, linking it to the speed of sound and the frequency. When a sound wave moves from one medium to another with a different speed of sound, the wavelength adjusts in proportion to the change in speed, since the frequency stays the same.

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