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Question
on a violin, the highest note mandy can play is an a-note, which produces a sound wave with a high frequency. the lowest note she can play is a g-note, which has a low frequency. how does the wavelength of a g-note sound wave compare to the wavelength of an a-note sound wave? ○ the g-note’s wavelength is longer. ○ there is not enough information to tell. ○ the g-note’s wavelength is shorter. ○ the g-note’s wavelength is the same size.
The speed of a sound wave in a given medium (like air) is constant. The relationship between speed ($v$), frequency ($f$), and wavelength ($\lambda$) is given by the formula $v = f\lambda$. For sound waves, when the speed $v$ is constant, frequency and wavelength are inversely proportional (i.e., $\lambda=\frac{v}{f}$). The A - note has a high frequency and the G - note has a low frequency. Since wavelength is inversely proportional to frequency, a lower frequency (G - note) will correspond to a longer wavelength.
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The G - note's wavelength is longer.