A musician plays the middle C note (262 Hz) on a guitar, a piano, and a violin at the same loudness. Will all three instruments produce exactly the same sound? Why or why not explain.
Frequency (262Hz) is the same so that means that the pitch of the sound wave is the same. Also because it's played at the same loudness that means the intensity of the sound wave is also the same. Would that mean all three instruments would play the exact same notes?
Yet on the other hand:
The string on the various instruments have different lengths, mass density, and tension. This would have an effect on the sound produced by the instruments.
2 answers
To answer your first question, no the will not sound the same. Give of the same vibration? That they will. But they won't give off the same sound because of tone, pitch, and most importantly the instrument.
The answer is no. Only the fundamental frequency is the same. Each instrument has a different mix of overtones. Instruments that are plucked or struck (like guitar of piano) also have a different time dependence of amplitude. That is how you distinguish them by listening.