Joint Entrance Examination/AIEEE 2009/Q083 YOUNGS MODULUS

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Original Question by

Here's the question...

83. Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount ?

  • (1) 4F
  • (2) 6F
  • (3) 9F
  • (4) F

Posted by 04:07, 25 September 2009 (UTC)

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a a

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Additional notes

SOLUTION:[3] F/A= YΔl/l ⇒ F =YΔlA2/Al = YΔlA2/V

⇒ F ∝ A2 ⇒ F/F′ =1/9 ⇒ F′ = 9F

These comments, along with the notes on the left, were contributed by 04:12, 25 September 2009 (UTC)

Category AIEEE 2009