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There is no change in the volume of a wire due to change in its length on stretching. The poison’s ration of the material of the wire is

  • Option 1)

    + .50

  • Option 2)

    - 0.50

  • Option 3)

    0.25

  • Option 4)

    - 0.25
     

 

Answers (1)

best_answer

 

Strain -

Ratio of change in configuration to the original configuration.

-

 

 \sigma =-\frac{\frac{dr}{r}}{\frac{dl}{l}}

Volume of wire =\pi r^2l

r=\frac{D}{2}

v=\frac{\pi D ^2}{4}l

\frac{dv}{dl}=\frac{\pi }{4}2D dD +\pi D^2\times \frac{1}{4}dl

Volume remain constant

0=\frac{\pi l}{2D}dD+\frac{\pi D^2}{4d}

\sigma =\frac{dD.l}{D. dl}=\frac{2}{4}=0.5


Option 1)

+ .50

Incorrect

Option 2)

- 0.50

Correct

Option 3)

0.25

Incorrect

Option 4)

- 0.25
 

Incorrect

Posted by

Aadil

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