There is same change in length when a 33000 N tensile force is applied on a steel rod of area of cross-section `10^(-3)m^(2)` . The change of temperature reuired to produce the same elongation, if the steel rod is heated , if (The modulus of elasticitay is ` 3xx10^(11) N//m^(2)` and the coefficient of linear expansion of steel is ` 11 xx 10^(-5) //^(@)C`).

Options

A. `20^(@)C`
B. `15^(@)C`
C. `10^(@)C`
D. `0^(@)C`

Answer

C

Explanation

As `Delta L = ((F//A)L)/(Y) = alpha L Delta T :. F = Y A alpha Delta T` or `Delta T = (F)/(Y A alpha) = (33000)/((3 xx 10^(11))(10^(-3)) (1.1 xx 10^(-5))) = 10^(@)C`