Consider two strings that both have the same length and tension. (All of the str

ID: 2178804 • Letter: C

Question

Consider two strings that both have the same length and tension. (All of the strings on guitar-like instruments have nearly the same length and tension.) Now, suppose we want the second string to have a pitch that is two octaves lower than the first string. The mass per unit length of the second string should be... (You only have 5 chances for this problem.) A) 16 times greater than the first string. B) 2 times greater than the first string. C) 2 times less than the first string. D) 4 times less than the first string. E) 8 times greater than the first string. F) 16 times less than the first string. G) 4 times greater than the first string.

Explanation / Answer

Two octaves lower means frequency is 1/4th.

f v

v sqrt(1/)

Therefore, the the mass per unit length should be 16 times greater than the first string.

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Consider two strings that both have the same length and tension. (All of the str

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