If the stress on a wire is 10 7 NM -2 and the w... - JAMB Physics 2021 Question
If the stress on a wire is 10\(^{7}\)NM\(^{-2}\) and the wire is stretched from its original length of 10.00m to 10.05m. The young's modulus of the wire is?
A
5.0 x 10\(^{-4}\)Nm\(^{-2}\)
B
5.0 x 10\(^{-5}\)Nm\(^{-2}\)
C
2.0 x 10\(^{-8}\)Nm\(^{-2}\)
D
2.0 x 10\(^{9}\)Nm\(^{-2}\)
correct option: d
Young's modulus (E) is a property of the material that tells us how easy it can stretch and deform and is defined as the ratio of tensile stress (σ) to tensile strain (ε). Where stress is the amount of force applied per unit area (σ = F/A) and strain is extension per unit length (ε = dl/l). More.
E = \(\frac{stress}{strain}\)
strain = \(\frac{e}{l} = \frac{0.05}{10} = \frac{10^{7}}{0.005}\)
2 x 10\(^{9}\)Nm\(^{-2}\)
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