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Question: Answered & Verified by Expert
The radii and Young's moduli of two uniform wires A and B are in the ratio 2:1 and 1:2 respectively. Both wires are subjected to the same longitudinal force. If the increase in the length of the wire A is one per cent, the percentage increase in the length of the wire B is
PhysicsMechanical Properties of SolidsNEET
Options:
  • A 1.0
  • B 1.5
  • C 2.0
  • D 3.0
Solution:
1487 Upvotes Verified Answer
The correct answer is: 2.0
Increase in length l=FLAY

or l=FLπ r2Y

Percent increase in length

x=lL×100=Fπr2Y

Here, same longitudinal force is applied.

So, x1x2=r2r12Y2Y1

1x2=12221=14×21

1x2=12

x2=1×2=2%

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