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Natural length of a spring or wire from its lengths l1 and l2 under tensions T1 and T2 (general formula)

The same question, asked 2 times: 2021 Paper 11, 2021 Paper 26. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 11

    15
    Tension in a spring is T1T_{1} when length of the spring is l1l_{1} and tension is T2T_{2} when its length is l2l_{2}. The natural length of the spring is

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  2. Question 2

    2021 Paper 26

    18
    The length of metallic wire is l1l_{1} when tension in it is T1T_{1}. It is l2l_{2} when the tension is T2T_{2}. The original length of the wire will be:

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