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Musical stringed instruments (normally) vibrate in the fundamental state. To cha

ID: 1776206 • Letter: M

Question

Musical stringed instruments (normally) vibrate in the fundamental state. To change the frequency (and therefore the note) from a guitar string, the player will pin the strings down to force nodes in different places, thereby changing the wavelength. Piano wires are struck with a hammer and produce only one note each. The piano itself has a fixed size and filling it with wires of varying lengths up to several meters long is not feasible. What is different about each piano wire to allow them to have different resonant frequencies? (No knowledge of music is necessary. This can be answered solely by the material and equations contained within this lab.)

Explanation / Answer

By fundamental laws of length, frequency produce in a wire is directly proportional to square of the resonating length of wire. When we press different keys on the piano we actually change the vibrating length of the string present inside it over to which different frequencies are produced without any need of having different length of wire for each frequencies.