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Question

Find the longitudinal stress applied to a steel wire to stretch it by 0.025 % of its original length, if the ratio of longitudinal stress and strain is 9×1010 Nm2.

A
2.25×107 Nm2
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B
2.5×105 Nm2
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C
2.25×105 Nm2
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D
2.5×109 Nm2
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Solution

The correct option is A 2.25×107 Nm2
As we know,
Longitudinal strain =Change in lengthOriginal length=Δll=0.025×102×ll
=2.5×104

Assume, Longitudinal stress =σ
Longitudinal stressLongitudinal strain=9×1010 (given)
σ2.5×104=9×1010
σ=9×2.5×106=2.25×107 Nm2

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