Suppose you wish to lower the pitch of a violin string by 2 octaves. This could be done by
A) replacing the string with one of the same material only half as massive.
B) replacing the string with one of the same material but with quadruple the diameter.
C) increasing the string tension a factor of four.
D) reducing the string tension by a factor of four.
E) shortening the string length to a quarter as much.

Question

Quizplus · Accepted Answer

To lower the pitch by 2 octaves, the frequency must be reduced by a factor of 4. Increasing the diameter quadruples the mass per unit length, reducing the frequency by a factor of 2 for each octave.

Suppose You Wish to Lower the Pitch of a Violin