Question

The length of a wire increases by $1\%$ by a load of $2kg.wt$. The linear stain produced in the wire will be:

• A. $0.02$
• B. $0.001$
• C. $0.01$
• D. $0.002$

Answer 1

The correct option is C $0.01$

The linear strain in the wire is $\mathrm{0.01.}$

Linear strain is defined as the ratio of change in length to the original length.

Let, the original length of the wire is $l$,

Now upon loading the length of the wire increased by 1%, therefore the length of the wire becomes.

$l^{\prime }=l+\left(1/100\right)l=1.01l$

Change in length of the wire

$\Delta l=1.01l-l=0.01l$

Now the linear strain is$=0.01$

Therefore the linear strain in the wire is $\mathrm{0.01.}$

hence, Option $C$ is correct .