The Frequency of Vibration of a Guitar String Under Constant

question 38

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

---

Definitions:

Color Afterimage

is a visual phenomenon where an image continues to appear in one's vision after exposure to the original image has ceased, often in complementary colors.

Frequencies

In physics, the number of occurrences of a repeating event per unit of time, often measured in hertz (Hz) in the context of waves or vibrations.

100,000 Hz

A frequency unit representing 100,000 cycles per second in the electromagnetic spectrum, typically associated with high-frequency sounds beyond human hearing.

Opponent-Process Theory

A psychological and neurological model explaining how the perception of one stimulus (e.g., color) can affect the perception of another, leading to contrasting effects.