# A stretched wire has a Young’s modulus $\gamma$ and energy density E. The strain in the stretched wire is Option 1) $\sqrt{\frac{2E}{\gamma }}$ Option 2) $\frac{2E}{\gamma }$ Option 3) $\frac{4E}{\gamma }$ Option 4) $\sqrt{\frac{E}{\gamma }}$

As discussed in

Stress -

The internal restoring force per unit area of deformed body.

- wherein

Due to the forces, the body gets deformed and internal forces appear.

Stress -

$Stress =\frac{force}{Area}$$=\frac{F}{A}$

- wherein

$F= applied \: force$

$A= area \:$

Strain in stretched wire

$S=\sqrt{\frac{2E}{Y}} \\\ Y = \gamma$

$\therefore S = \sqrt{\frac{2E}{\gamma }}$

Option 1)

$\sqrt{\frac{2E}{\gamma }}$

This solution is correct

Option 2)

$\frac{2E}{\gamma }$

This solution is incorrect

Option 3)

$\frac{4E}{\gamma }$

This solution is incorrect

Option 4)

$\sqrt{\frac{E}{\gamma }}$

This solution is incorrect

### Preparation Products

##### Knockout BITSAT 2021

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 2999/-