QJEEAdv19Ph1f93: JEE Advanced 2019 Physics - Class 11 JEEAdv19Ph1f93 Solution: A block of weight 100 N is suspended by copper and steel wires…

A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 cm² 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 copper and steel wires with ceiling are 30$${}^{\circ }$$ and 60$${}^{\circ }$$, respectively. If elongation in copper wire is ($$\mathrm{\Delta }{l}_c$$) and elongation in steel wire is ($$\mathrm{\Delta }{l}_s$$), then the ratio $$\frac{\mathrm{\Delta }{l}_c}{\mathrm{\Delta }{l}_s}$$ is .............. .

[Young's modulus for copper and steel are 1 $$\times$$ 10¹¹ N/m² and 2 $$\times$$ 10¹¹ N/m² respectively.]