Verified Solution • 2025–26 Session moderate

QNEET-2018-Ph-916: NEET 2018 Physics - Class 11 NEET-2018-Ph-916 Solution: Two wires are made of the same material and have the same…

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area A and the second wire has cross-sectional area 3A. If the length of the first wire is increased by Δl\Delta l on applying a force F how much force is needed to stretch the second wire by the same amount? 6F F 9F 4F

Multiple Choice Options

  • A 6F
  • B F
  • C 9F
  • D 4F

Step-by-Step Verified Solution

Let the wire 1 is of length = l and wire 2 of length = l 3 Now area of wire 1 = A while area of wire 2 = 3A For wire 1, _ l = ( F A Y ) l ....(i) For wire 2, let F' force is applied _ l = ( F _ 3 A Y ) l 3 ....(2) From equation (i) & (ii) ( F A Y ) l = ( F _ 3 A Y ) l 3 _ F' = 9F

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