A copper wire of length 1.0 m and a steel wire of length 0.5 m having equal cross-sectional areas are joined end to end. The composite wire is stretched by a certain load which stretched the copper wire by 1 mm. If the Young's modulii of copper and steel are respectively
and
, the total extension of the composite wire is
Text Solution
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When a wire of length L, cross-sectional area A and Young's modulus Y is stretched with a force F, the extension I in the wire is given by

Since F and A are the same for the two wires, we have
For copper wire
For steel wire 




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