If a stretching force $F 1$ is applied on a vertical metal wire then its length is $L 1$ and if force $F 2$ is applied on it then its length becomes $1.2$ . The real length of wire is?

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Solution

Young`s modulus equations for the two, rewriting the change in length term as L - L1 and L - L2 respectively in both and divide. Rearranging the equation you should get L = (L2F1- L1F2) /(F1 - F2)

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