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If a guitar string has a fundamental frequency of 500 Hz, which one of the following frequencies can set the string into resonant vibration?

a. 250 Hz
b. 1500 Hz
c. 1750 Hz
d. 750 Hz

1 Answer

7 votes

Answer:

The frequency that can set the string into resonant vibration is 1,500 Hz.

Step-by-step explanation:

Given;

fundamental frequency of the string, F₀ = 500 Hz

The frequencies that can set the string into resonant vibration must be higher frequencies, such frequencies include the first overtone, second overtone, third overtone, etc.

The first overtone, F₁ = 2F₀ = 2 x 500 = 1,000 Hz

The second overtone, F₂ = 3F₀ = 3 x 500 = 1,500 Hz

The third overtone, F₃ = 4F₀ = 4 x 500 = 2,000 Hz

Therefore, the frequency that can set the string into resonant vibration is 1,500 Hz.

User Dholbert
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