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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<θ1⇒tan θ2<tan θ1 Therefore, the ratio will decrease when deformation increases.

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