question_answer

The diagram shows the change \ in length of a thin uniform wire caused by the application of stress F, at two different temperatures\[{{T}_{1}}\And  {{T}_{2}}\]. The variations shows suggest that:

A) \[{{T}_{1}}> {{T}_{2}}\]                   

B) \[{{T}_{1}}< {{T}_{2}}\]  

C) \[{{T}_{1}}= {{T}_{2}}\]                   

D) None

Correct Answer: A

Solution :

\[\operatorname{Y} =\frac{Stress}{Strain}\propto  slope\] \[\operatorname{slope}\propto \frac{FL}{x}\] As temperature increases, elasticity decreases slope of curve 1 is less, elasticity is less for temperature \[{{\operatorname{T}}_{1}}\] \[{{\operatorname{T}}_{1}}>{{V}_{2}}\]