A load of 20N on a wire of cross-sectional area 8 x 10-7m2, produces an extensio...
Question
A load of 20N on a wire of cross-sectional area 8 x 10-7m2, produces an extension of 10m2. calculate Young's modulus for the material of the wire if its length is 3mOptions
A) 7.0 x 1011Nm-2
B) 7.5 x 1011Nm-2
C) 8.5 x 1011Nm-2
D) 9.0 x 1011Nm-2
Related Lesson: Summarizing Elasticity: Stress and Strain | Friction, Drag and Elasticity
The correct answer is B.
Explanation:
Young's modulus = \(\frac{F}{A}\) \(\div\) \(\frac{e}{L}\)
= \(\frac{20}{8 \times 10^{-7}}\) \(\div\) \(\frac{10^{-4}}{3}\)
= 7.5 x 1011Nm-2
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Young's modulus = \(\frac{F}{A}\) \(\div\) \(\frac{e}{L}\)
= \(\frac{20}{8 \times 10^{-7}}\) \(\div\) \(\frac{10^{-4}}{3}\)
= 7.5 x 1011Nm-2