Passage III

A metal string stretched between two fixed ends will vibrate and produce a sound when it is plucked, as illustrated in Figure 1.

To investigate how sounds are produced, a student used strings constructed of either steel, aluminum, or an unknown material. String of differing lengths, radii, and materials were stretched with various tensions between fixed ends. When plucked, each of these strings produced a sound of a specific fundamental frequency (pitch). The results appear in Table 1.

16. A steel piano wire of radius 0.2 mm is subjected to a tension of 1,000 N. Based on Table 1, if the frequency needs to be 660 Hz, the length of the wire should be closest to which of the following values?

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

According to the piano strings described in the title, it is found that trail 1 to 5 should be observed, and the frequency generated by the length is found to be between the frequency generated by the rope length of 1 and 0.5, so the length should also be between 1 and 0.5