A $49\mathrm{.}0-$cm$-$long copper wire with radius $0\mathrm{.}110$ cm and density $8\mathrm{.}96$ g$/$cm$3$ is placed under $50\mathrm{.}0$ N of tension.

$($a$)$ What is the fundamental frequency of vibration for the wire?

$($b$)$ What are the next two harmonic frequencies for standing waves on this wire?