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Question: Answered & Verified by Expert
The length of a metal wire is l1 when the tension in it is T1 and is l2 when the tension is T2. The natural length of wire is
PhysicsMechanical Properties of SolidsJEE Main
Options:
  • A l1+l22
  • B l1l2
  • C l1T2-l2T1T2-T1
  • D l1T2+l2T1T2+T1
Solution:
1735 Upvotes Verified Answer
The correct answer is: l1T2-l2T1T2-T1
Let the original length be l.

In first case,

l1=l+dl1

Using Hooke's law, x=TK

Where, x is the displacement.

We have, l1=l+T1K ... (i)

Similarly, l2=l+T2K ... (ii)

Solving Equations. (i) and (ii), we get

l=l1T2-l2T1T2-T1

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