Steel is more elastic than rubber. Explain why?

Explanation

Consider two similar wires of steel and rubber. If same force is applied on each, it is found that extension produced in steel wire is less than that of rubber wire.
Let F= Force applied on the wires
L = Original length of wires
A = Area of cross-section of both the wires
`l_s` = Extension produced in steel wire
`l_r` = Extension produced in rubber wire
`Y_s` = Young.s modulus of steel
`Y_r` = Young.s modulus of rubber.
Therefore, `Y_s=(FL)/(Al_s)` and `Y_r=(FL)/(Al_r) implies (Y_s)/(Y_r)=(l_r)/(l_s)`, As `l_r gt gt l_s" ":. Y_s gt gt Y_r`
As Young.s modulus is more in steel than of rubber therefore steel is more elastic than rubber.