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

Physics
JAMB 1999

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

  • A. 5 . 0 x 104 Nm-2
  • B. 5 . 0 x 105 Nm-2
  • C. 2 . 0 x 108 Nm-2
  • D. 2 . 0 x 109 Nm-2
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Correct Answer: Option D
Explanation

Y = \(\frac{\text{stress}}{\text{strain}}\), but stress = 10\(^7\)Nm\(^{-2}\) (given).

Strain = \(\frac{\text{e}}{l_o}\). = \(\frac{(10.05 - 10.00)}{10.00}\) = 0.005

Thus Y = \(\frac{10^7}{0.005}\) = 2.0 x 10\(^9\)Nm\(^{-2}\)


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