A structural steel rod has a radius of 10 mm and length of 1.0m. A 100 kN force stretches it along its length Young's modulus of structural steel is `2xx 10^(11) Nm^(-2)`
The elongation in the rod is

Options

A. `1.59 mm `
B. 3.18 mm
C. 2.38 mm
D. 0.79 mm

Answer

A

Explanation

`r =10^(-2) L=1 m, `
`F = 10^(5) N , Y=2 xx 10^(11) Nm^(-2)`
`l = (FL)/(AY) = (10^(5) xx1)/(pi xx 10^(-4) xx 2 xx 10^(11)) = 1.59 xx 10^(-3) m = 1.59 ` mm