Question

A rod that was originally 100-cm-long experiences a strain of 82%. What is the new length of the rod?

122 cm


182 cm


82 cm


22 cm


108.2 cm

Answer 1

Answer: (b)

Step-by-step explanation:

Given

Original length of the rod is
`L=100\ cm`

Strain experienced is
`\epsilon=82\%=0.82`

Strain is the ratio of the change in length to the original length

`\Rightarrow \epsilon =(\Delta L)/(L)\\\\\Rightarrow 0.82=(\Delta L)/(100)\\\\\Rightarrow \Delta L=82\ cm`

Therefore, new length is given by (Considering the load is tensile in nature)

`\Rightarrow L'=\Delta L+L\\\Rightarrow L'=82+100=182\ cm`

Thus, option (b) is correct.