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Post-UTME Physics 2016 Objective — Question 2

Question 2 of 20 from the Post-UTME Screening (Post-UTME) Physics 2016 Objective paper, with the correct answer and a full explanation.

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A vertical wire of length 2m and tensile stress 6.08 x 10^7Nm-2 fixed at its upper end carries a 3kg mass at the other end. If the wire extends by 0.8mm, calculate its Young's modulus.

  • A. 1.52 x 10^11Nm-2Correct
  • B. 3.04 x 10^11Nm-2
  • C. 6.58 x 10^12Nm-2
  • D. 1.32 x 10^12Nm-2

Explanation

Strain = extension/length = 0.8x10^-3/2 = 4x10^-4. Young's modulus = stress/strain = 6.08x10^7/4x10^-4 = 1.52x10^11 Nm-2.

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