A brass rod is $40\mathrm{.}1cm$ long and an aluminum rod is $79\mathrm{.}3cm$ long when both rods are at an initial

temperature of $0C.$ The rods are placed in line with a gap of $0\mathrm{.}60cm$ between them, as shown in

the figure. The distance between the far ends of the rods is maintained at $120\mathrm{.}0cm$ throughout.

The temperature of both rods is raised until the two rods are barely in contact. The coefficients of

linear expansion of brass and aluminum are $2\mathrm{.}0{10}^{-5}{K}^{-1}$ and $2\mathrm{.}4{10}^{-5}{K}^{-1},$ respectively. The

temperature at which contact of the rods barely occurs is closest to

A$)220C.$

B$)210C.$

C$)200C.$

D$)230C.$

E$)240C.$