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Question

The ratio stressstrain remains constant for small deformation of a metal wire. When the deformation increases, then the ratio will -

A
Increase
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B
Decrease
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C
Remains constant
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D
First increases then decreases.
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Solution

The correct option is B Decrease
We know,
Stress versus strain curve for a metal wire is


For small deformations as seen in the region OA
stressstrain=tan θ1=constant
When deformation is increased,
stressstrain=tan θ2 (at point B)
From the curve, it is evident thatθ2<θ1tan θ2<tan θ1
Therefore, the ratio will decrease when deformation increases.

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