A steel wire of length 4.5 m and cross-sectional area `3 xx 10^(-5) m^(2)` stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of `4 x 10^(-5) m^(2)` under a given load. The ratio of the Young's modulus of steel to that of copper is

Options

A. `5xx10^(6)N//m^(2)`
B. `10^(5)N//m^(2)`
C. `10^(8)N//m^(2)`
D. `10^(3)N//m^(2)`

Answer

A

Explanation

Compressive stress in tube
`sigma_(t)=E_(t)Y_(t)=5xx10^(6)N//m^(2)`