For steel wire : LS=4.7 m, AS=3.0×10−5 m2
For copper wire: LC=3.5 m, AC=4.0×10−5 m2
Applied force F and extension (ΔL) are same for both the wires.
Young's modulus of steel can be written as,
YS=FLSASΔL=F×4.73.0×10−5×ΔL ...(i)
Similarly for copper,
YC=FLCACΔL=F×3.54.0×10−5×ΔL ...(ii)
From Eq.(i) & (ii),
YSYC=F×4.73.0×10−5×ΔL×4×10−5×ΔLF×3.5
⇒YSYC=4.7×43×3.5=1.79