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