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Question

The length of a metal wire is l1 when the tension in it T1 and is l2 when the tension is T2. The natural length of the wire is
(a) l1+l22
(b) l1l2
(c) l1T2-l2T1T2-T1
(d) l1T2+l2T1T2+T1

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Solution

Correct option: (c)

)Let the Young's modulus be Y.C.S.A.= AActual length of the wire = LFor tension T1:Y=T1AL-l1L...(1)For tension T2:Y=T2AL-l2L...(2)From (1) and (2):T1AL-l1L=T2AL-l2LT1L-l1=T2L-l2L=T2l1-T1l2T2-T1

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