Q$\mathrm{.}7.$ A cylindrical bar is loaded in tension as shown. The original gage length of the bar is $5cm$ and the original diameter is $1\mathrm{.}2827cm.$ When a $67kN$ load is applied the gage length becomes $5\mathrm{.}1cm$ and the diameter becomes $1\mathrm{.}2814cm.$ Determine the following$-$assume the bar is made from Elastic. Material and $67kN$ load is applied for all questions.

a$)$ Normal stress along the axis of the bar

b$)$ Strain along the axis of the bar

c$)$ Young's modulus $($modulus of elasticity$)$