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MHT CET 2020 (16 Oct, Shift 2) · Elastic Behaviour, Stress & Strain

Elastic Behaviour, Stress & Strain question from MHT CET 2020 (16 Oct, Shift 2)

Q18MHT CET 2020 · 16 OCT · SHIFT 2Medium

Elastic Behaviour, Stress & Strain

Two wires of different materials have same length LL and same diameter dd. The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force FF to produce the elongation I. The two wires have

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Answer: (c)

  1. In series the same force FF acts through both wires, and both have the same area πd24\frac{\pi d^2}{4}.
  2. Stress =FA= \frac{F}{A} is therefore the same in both.
  3. Strain =stressY= \frac{\text{stress}}{Y} differs because the materials have different YY.
  4. So the answer is (c) same stress but different strain.
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