A copper wire, whose cross$-$sectional area is $2\mathrm{.}7310-6$ m$2,$ has a linear density of $9\mathrm{.}8010-3$ kg$/$m and is strung between two walls.

At the ambient temperature, a transverse wave travels with a speed of $63\mathrm{.}6$ m$/$s on this wire. The coefficient of linear expansion for

copper is $1710-6($C$9-1,$ and Young's modulus for copper is $1\mathrm{.}11011$ N$/$m$?.$ What will be the speed of the wave when the

temperature is lowered by $26\mathrm{.}9$ C$?$ Ignore any change in the linear density caused by the change in temperature.