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By how much does middle $\mathrm{C}$ on the violin changeA. There is no change.B. It increases by 2$\%$ .C. It decreases by 2$\%$ .D. It increases by 4$\%$ .E. It decreases by 4$\% .$

(A)

Physics 101 Mechanics

Chapter 12

Mechanical Waves and Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

Hope College

University of Sheffield

University of Winnipeg

Lectures

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So in this problem, we're concerned about how the frequencies of different instruments change as the speed of sound hairs changes, and that happens because of a change in temperature. So for a for instruments, like a flute or a trumpet for two bar or a trombone that generates sound by causing air to resonate any chamber or a tube, um, the frequencies will change because the speed of sound and air will change changes with temperature. So for a flute, you get a change. If the temperature decreased, we get it change in the frequency their flu would produce. Now, on the other hand, string instruments like a violin, a guitar, Harper, jungo, whatever they produce, sound by vibrating a strength and in for all practical purposes. Um, if we assume that the tension in the strings does not change within the temperature range that we're worried about the violin or any string instruments, frequency will not change. However, there is the strings of metal, and they expand as temperature increases. So there is a coefficient of thermal expansion, and so if temperature, as temperature decreases on the metal expands this string, this tension will go down. And if he Then if the strings tension goes down, its frequency would then go down to but in the range of a percent change in the basically every day temperatures. We're not gonna see a whole lot of change in the tension in the in the strength.

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