# Chapter 19 - Think and Explain: 87

This is a writing exercise for the student, and answers will vary.

#### Work Step by Step

Sample: For a traveling wave, when the frequency of the wave is increased, which of the following always happens? a. the wave speed increases b. the wavelength increases c. Both A and B always happen d. Neither A nor B happens The answer is D. The wave speed v doesn't change. The wave speed is frequency multiplied by wavelength. $$v = f \lambda$$ If the frequency is increased, the wavelength doesn't increase: in fact, it decreases. Their product, $f \lambda$, remains the same because the wave speed doesn't change.

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