Manipal MET2022PhysicsMechanical Properties of Solids
The stress that has to be applied to the ends of a steel wire of length 20 cm to keep its length constant, when its temperature is raised by 100^ C is 2.2 10^x ~Pa . The value of x is aligned & (Given Y=2 10¹¹ Nm ⁻², & . =1.1 10⁻⁵ C ⁻¹ ) aligned
Correct answer
8
Step-by-step solution
From Hook's law, Y= Stress Strain aligned & Stress =Y Strain & Now, Strain = L L = L T L = T & Stress =Y T & =2 10¹¹ 1.1 10⁻⁵ 100 & =2.2 10^8 ~Pa aligned According to question, aligned 2.2 10^x & =2.2 10^8 x & =8 aligned