The Coefficient of Linear Expansion of Copper Is $17 \times 10 ^ { - 6 } \mathrm {~K} ^ { - 1 }$

The coefficient of linear expansion of copper is $17 \times 10 ^ { - 6 } \mathrm {~K} ^ { - 1 }$ and that of steel is $12 \times 10 ^ { - 6 } K ^ { - 1 }$ At $12 ^ { \circ } \mathrm { C }$ a steel rod has a diameter of 2.540 cm and a copper pipe has a diameter of 2.536 cm. If they
are heated together to a higher temperature, which one of the following quantities is closest to the
common temperature at which the steel rod will fit snugly in the copper pipe?

A) $350 ^ { \circ } \mathrm { C }$
B) $330 ^ { \circ } \mathrm { C }$
C) $340 ^ { \circ } \mathrm { C }$
D) $310 ^ { \circ } \mathrm { C }$
E) $380 ^ { \circ } \mathrm { C }$