Suppose That a Rigid Aluminum Wire Were to Be Strung $\left. 6.37 \times 10 ^ { 6 } \mathrm {~m} \right)$

Multiple Choice

Suppose that a rigid aluminum wire were to be strung out in a loop that just fits snugly around the equator (assuming a perfectly spherical Earth with a radius of $\left. 6.37 \times 10 ^ { 6 } \mathrm {~m} \right)$
If the temperature of the wire is increased by $0.50 ^ { \circ } \mathrm { C }$ and the increase in length is distributed equally over the entire length, how far off the ground will the wire loop be if it remained centered on the earth? The coefficient of linear expansion of aluminum is $24 \times 10 ^ { - 6 } K ^ { - 1 }$

A) 76 mm
B) 76 m
C) 7.6 mm
D) 76 cm
E) 760 m