Joint Entrance Examination/AIEEE 2009/Q083 YOUNGS MODULUS

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Original Question by 164.100.170.4 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 164.100.170.4 04:07, 25 September 2009 (UTC) Post a reply![1]

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Reply to the thread, posted by 164.100.170.4 Thread post 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 164.100.170.4 04:12, 25 September 2009 (UTC)

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