Question

A steel wire is stretched to double its length, then its Young’s modulus :
(a) becomes half
(b) becomes double
(c) remains same
(d) becomes one-fourth

Answer 1

Answer:

Young's modulus is an internal property of materials and is independent of stress applied, till the elastic limit.

Answer 2

Answer:

A steel wire is stretched to double its length, then its Young’s modulus remains same.

Therefore, option (c) is correct.

Explanation:

• Young’s modulus is represented by 'Y'.  It is defined stress (σ) to the strain (ε).

      $Y=\frac{Stress}{Strain}$  

• Young’s modulus is the property of material.  It is also calculated from the formula:

        $Y =\frac{F\times L}{A.\;\triangle L}$

        Where L is the length of the wire and ΔL is the change the in the length of wire and A is the cross section area of wire.

• If we stretch the wire to double its length (L), then ΔL will change also accordingly. Therefore, overall the Young's modulus of wire remains unchanged.
• The Young's modulus depends upon the material of the wire, until the material is same. Young's modulus of wire remains same.

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