Question

5. The length of a wire under stress changes by 0.01%. The strain produced is
1) 1 x 10-4
2) 0.01
4) 104
​

Answer 1

$\Large\underline{\underline{\sf \green{Given}:}}$

• The length of a wire under stress changes by 0.01%

$\Large\underline{\underline{\sf \green{To\:Find}:}}$

• Strain produced is = ?

$\Large\underline{\underline{\sf \green{Formula \: Used}:}}$

$\large{\boxed{\sf \red{Strain=\dfrac{Extension}{Lenght}} }}$

$\Large\underline{\underline{\sf \green{Solution}:}}$

$\implies{\sf \dfrac{l_2-l_1}{l}×100=0.01 }$

$\implies{\sf \dfrac{\triangle l}{l}×100=0.01 }$

$\implies{\boxed{\sf \dfrac{\triangle l}{l}=Strain}}$

$\implies{\sf Strain=\dfrac{0.01}{100} }$

$\implies{\sf Strain=1×10^{-4}}$

$\Large\underline{\underline{\sf \green{Answer}:}}$

⛬ Strain produced in the wire is $\underline{\bf 1×10^{-4}}$.