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

If the stress on a wire is 10\(^{7}\)NM\(^{-2}\) and the wire is stretched from its original length of 10.00 cm to 10.05 cm. The young's modulus of the wire is?
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  • 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 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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