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\(^{-2}\)
Verified Correct Answer: D.
Physical Principles & Numerical Solution
Young's modulus \(\frac{stress}{strain}\)
Strain = \(\frac{e}{l} = \frac{0.05}{10} = \frac{10^{7}}{0.005}\)
2 x 10\(^{9}\)Nm\(^{-2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60763)