The Frequency of Vibration of a Guitar String Under Constant

Multiple Choice

The frequency of vibration of a guitar string under constant tension varies inversely as the length of the string. A guitar string with a length of 20 inches has a frequency of 270 vibrations per second. Find the frequency of a guitar string with a length of 16 inches. Assume the tension is the same for both strings. Round answer to nearest whole vibration.

A) 360 vibrations/s
B) 277 vibrations/s
C) 338 vibrations/s
D) 216 vibrations/s
E) 349 vibrations/s