A rod is fixed between two points at 20°C. The coefficient of linear expansion of material of rod is `1.1 xx 10^(@)` and Young's modulus is `1.2 xx 10^(11) N//m^(11)` . Find the stress developed in the rod if temperature of rod become `10^(@)` C

Options

A. `1.32xx 10^(7) N//m^(2)`
B. `1.10 xx 10^(15) N//m^(2)`
C. `1.32xx10^(2) N//m^(2)`
D. `1.10xx 10^(6) N//m^(2)`

Answer

A

Explanation

Themal stress `(F)/(A) = Y alpha Delta theta= 1.2 xx10^(11) xx 1.1 xx 10^(-5) xx (20-10) = 1.32 xx10^(7) N//m^(2)`