Which one of the following frequency can set the string into resonant vibration?
If a guitar string has a fundamental frequency of 500Hz.
a)250Hz
b)750Hz
c)1500Hz
d)1750Hz
resonance means n*fundamental frequency, where n is a whole number.
1500
To determine which frequency can set the string into resonant vibration, we need to know how resonance works. When an object is vibrating at its natural frequency or a multiple of it, it is said to be in resonance.
In this case, the fundamental frequency of the guitar string is given as 500Hz. This means that the string vibrates in its natural state at 500 times per second.
To find the frequencies that can set the string into resonant vibration, we need to determine if any of the given frequencies are the fundamental frequency (500Hz) or its multiples.
a) The frequency 250Hz is half of the fundamental frequency (500Hz). It is not a multiple of the fundamental frequency and is not the fundamental frequency itself.
b) The frequency 750Hz is not the fundamental frequency (500Hz) or its multiples.
c) The frequency 1500Hz is three times the fundamental frequency (500Hz). It is a multiple of the fundamental frequency and can set the string into resonant vibration.
d) The frequency 1750Hz is not the fundamental frequency (500Hz) or its multiples.
Therefore, the correct answer is c) 1500Hz.