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Physics (AS & A Level) · May / June 2022 · Paper 12 · Question 19

9702Stress and strain

A metal wire obeys Hooke's law and has a Young modulus of $2.0 \times 10^{11}\,\text{Pa}$. The wire has an original length of 1.6 m and a diameter of $0.48 \times 10^{-3}\,\text{m}$. What is the spring constant of the wire?

  1. A$7.2 \times 10^3\,\text{N}\,\text{m}^{-1}$
  2. B$2.3 \times 10^4\,\text{N}\,\text{m}^{-1}$
  3. C$2.9 \times 10^4\,\text{N}\,\text{m}^{-1}$
  4. D$9.0 \times 10^4\,\text{N}\,\text{m}^{-1}$

As printed in the paper

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Correct answer: B. $2.3 \times 10^4\,\text{N}\,\text{m}^{-1}$

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