If the stress on a wire is 10\(^{7}\)NM\(^{-2}\) and the wire is stretched from its...

JAMB 2021

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\(^{-2}\)

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Correct Answer: Option D

Explanation

Young's modulus \(\frac{stress}{strain}\)

Strain = \(\frac{e}{l} = \frac{0.05}{10} = \frac{10^{7}}{0.005}\)

2 x 10\(^{9}\)Nm\(^{-2}\)

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If the stress on a wire is 10\(^{7}\)NM\(^{-2}\) and the wire is stretched from its...

Correct Answer: Option D

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