Question

Explain why strings of different thicknesses are provided on a stringed instrument.

Answer 1

Strings of different thickness are provided on a stringed instrument to produce different frequency sound waves because the natural frequency of vibration of a stretched string is inversely proportional to the radius (thickness) of the string.

$Frequecy\left(f\right)\propto \frac{1}{r}$; where r = radius of the wire.