f a long string under a specific amount of tension produces a certain sound, what sound will a shorter string under the same amount of tension produce?

Question

a sound with a higher pitch
a sound that is louder
a sound with a lower pitch
a sound that is softer

Answer 1

A shorter string under the same amount of tension will produce a sound with a higher pitch. The pitch of a sound is determined by the frequency of the vibrations, and the frequency of the vibrations of a string is inversely proportional to its length. Therefore, a shorter string will vibrate more quickly, producing a higher-pitched sound than a longer string under the same amount of tension.