A block of weight 100 N is suspended by copper and steel wires of same cross sectional area $$0.5 cm^2$$ and, length $$\sqrt 3 m$$ and 1 m, respectively. Their other ends are fixed on a ceiling as shown in figure. The angles subtended by copperand steel wires with ceiling are $$30^\circ and 60^\circ$$, respectively. If elongation in copper wire is $$(\triangle l_C)$$ and elongation in steel wire is $$(\triangle l_S)$$, then the ratio $$\frac{\triangle l_C}{\triangle l_S}$$ is.
[Young’s modulus for copper andsteel are $$1 \times 10^{11} N/m^2 and 2 \times 10^{11} N/m^2$$, respectively.]