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 }}

 

Answers (1)

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

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