A 10kg mass is suspended by a metallic string with cross-sectional area of \( 1.0mm^2 \) . The length of the wire with the mass suspended is 4.02m. When the mass is removed, the length is reduced by 0.02m. What is the modulus of elasticity of the wire?

A \( 2.96\times{10}^{10}Nm^{-2} \)

B \( 1.96\times{10}^{10}Nm^{-2} \)

C \( 1.86\times{10}^{10}Nm^{-2} \)