Question $4.10$ Points

a$.$ Calculate the wavelength of the first harmonic for a steel wire $0\mathrm{.}75$ m long with a mass per unit length of $0\mathrm{.}0030k\frac{g}{m}$ and under a tension of $100\mathrm{.}0$ N $.$ Assume the wire is held firm only at one end.

b$.$ Find the fundamental frequency and second harmonic of the wave in part $\text{'}a\text{'}.$

c$.$ If the speed of sound in air is $345\frac{m}{s},$ find the wavelength of the sound waves produced by the fundamental.

$($The sound waves not the wire waves.$)$