Question

When a wire is stretched to double in length, the longitudinal strain produced in it is?

Answer 1

Explanation:

Longitudinal Strain is ratio of change in length to original length. Wire is stretched to double it's original length. Hence change in length = 2×L - L (where L is original length. ) Therefore change in length is L.

Answer 2

Given:

A wire is stretched to double its length

To Find:

The longitudinal strain produced in it

Solution:

The longitudinal strain is the ratio of change in length (Final length - Initial length) to the original length.

Since it is a ratio, it has no unit or dimension.

Let L be the initial length of the wire

In the given question, the wire is stretched to double its original length.

⇒ The final length = 2L

Hence change in length (ΔL) = 2L - L = L

Longitudinal strain = ΔL / L

Substituting,

Longitudinal strain = L / L

= 1

Hence, the longitudinal strain produced in it is 1.