A force is applied to a steel wire $$A$$, rigidly clamped at one end. As a result elongation in the wire is $$0.2$$ mm. If same force is applied to another steel wire $$B$$ of double the length and a diameter $$2.4$$ times that of the wire $$A$$, the elongation in the wire $$B$$ will be (wires having uniform circular cross sections)

A

$$6.06 \times 10^{-2}$$ mm

B

$$2.77 \times 10^{-2}$$ mm

C

$$3.0 \times 10^{-2}$$ mm

D

$$6.9 \times 10^{-2}$$ mm