A brass wire $1.8~\text m$ long at $27^\circ \text C$ is held taut with a little tension between two rigid supports. If the wire is cooled to a temperature of $-39^\circ \text C,$ what is the tension created in the wire?
( Assume diameter of the wire to be $2.0~\text{mm}$ , coefficient of linear expansion of brass $=2.0 \times10^{-5}~\text{K}^{-1},$ Young's modulus of brass$=0.91 \times10^{11}~\text{Pa}$ )
1. $3.8 \times 10^3~\text N$ 
2. $3.8 \times 10^2~\text N$ 
3. $2.9 \times 10^{-2}~\text N$ 
4. $2.9 \times 10^{2}~\text N$