Question

A stress of 9.8 × 10⁶ N/m² is applied to a wire and Young’s modulus is 10^11 N/m² find the percentage increase in length

  • Category: Matter: Structure and Properties
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Answer

Question

A stress of 9.8 × 106 N/m2 is applied to a wire and Young’s modulus is 1011 N/m2 find the percentage increase in length [Ans. 0.0098%]

Answer

Stress = 9.8 × 106 N/m2

Young’s modulus = 1011 N/m2

Young modulus = stress \over strain

⇒ strain = stress \over Young\ modulus

⇒ strain = 9.8 × 10^6 \over 10^11

⇒ Δl\over l = 0.000098

Percentage increase in length = Δl\over l×100

= 0.000098 × 100

= 0.0098 %

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