Question

sound produced by a thin string as well as thick string on a guitar have equal velocity in air why

Answer 1

In a guitar, the thin wire produces sharp sound whereas the thick wire produces a flat sound. This is because the thin wire has high frequency and high pitch and the thick wire has a low pitch and low frequency.

However, the average velocity of sound is different in different media at STP. Medium plays an important role in the propagation of sound.

Since both the strings of the guitar are in the same medium which is given as air at a given time under STP, the velocity of the sound waves from both the strings is the same.

Pressure and Temperature are directly proportional to the velocity of sound in gas (eg. Air) and inversely proportional to the density of the gas.

Answer 2

The velocity of sound depends on the medium of travelling of sound which in the case is same (air). The thickness would effect only the frequency of the sound.