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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 SolidsNEET
Options:
  • A l1+l22
  • B l1l2
  • C l1T2-l2T1T2-T1
  • D l1T2+l2T1T2+T1
Solution:
2549 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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