Concept:
Invar tape is used in precise surveying work because it has a very low coefficient of thermal expansion.
Step 1: Ordinary steel tapes expand appreciably with temperature change.
Step 2: Invar tape is made from an alloy having very small thermal expansion.
Step 3: Therefore, errors due to temperature changes are much smaller in invar tape.
Step 4: The coefficient of thermal expansion of invar tape for \(1^\circ C\) rise is:
\[
0.6\times 10^{-6}
\]
\[
\boxed{0.6\times 10^{-6}}
\]